Preface |
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xv | |
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1 | (30) |
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1 | (2) |
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3 | (7) |
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4 | (1) |
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5 | (2) |
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Nonlinear Schrodinger Equation |
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7 | (2) |
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9 | (1) |
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Temporal Optical Solitons |
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10 | (5) |
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Pulse Propagation in Optical Fibers |
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11 | (1) |
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12 | (1) |
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13 | (2) |
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Solutions of the NLS Equation |
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15 | (5) |
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15 | (2) |
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Inverse Scattering Transform Method |
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17 | (2) |
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19 | (1) |
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Solitons of Non-Kerr Media |
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20 | (5) |
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Generalized Nonlinearities |
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21 | (1) |
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Spatial Solitons and Linear Guided Waves |
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22 | (2) |
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Limitations of the NLS Equation |
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24 | (1) |
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25 | (6) |
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28 | (3) |
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31 | (32) |
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31 | (2) |
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Soliton Stability and Internal Modes |
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33 | (4) |
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37 | (6) |
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Linear Stability Analysis |
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37 | (1) |
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Vakhitov--Kolokolov Criterion |
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38 | (3) |
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Marginal Stability Point: Asymptotic Analysis |
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41 | (1) |
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Oscillatory Instabilities |
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42 | (1) |
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43 | (3) |
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46 | (7) |
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Collisions of Kerr Solitons |
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47 | (1) |
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Collisions of non-Kerr Solitons |
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48 | (1) |
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Chaotic and Fractal Soliton Scattering |
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49 | (3) |
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Multisoliton Interactions |
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52 | (1) |
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Breathers and Soliton Bound States |
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53 | (3) |
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56 | (7) |
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60 | (3) |
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63 | (41) |
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63 | (3) |
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Nonlinear Schrodinger Equation |
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64 | (1) |
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Temporal Soliton Dynamics |
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65 | (1) |
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Soliton-Based Communications |
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66 | (4) |
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Information Transmission with Solitons |
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67 | (1) |
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68 | (2) |
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70 | (7) |
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70 | (3) |
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Distributed Amplification |
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73 | (2) |
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75 | (2) |
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Dispersion-Managed Solitons |
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77 | (8) |
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Dispersion-Decreasing Fibers |
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77 | (1) |
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78 | (3) |
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81 | (4) |
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85 | (4) |
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85 | (1) |
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86 | (2) |
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88 | (1) |
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89 | (15) |
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89 | (2) |
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91 | (2) |
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Intrapulse Raman Scattering |
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93 | (3) |
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Propagation of Femtosecond Pulses |
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96 | (3) |
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99 | (5) |
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104 | (43) |
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104 | (4) |
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Inverse Scattering Transform |
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105 | (1) |
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Generation of Dark Solitons |
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106 | (2) |
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108 | (5) |
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Small-Amplitude Approximation |
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108 | (1) |
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109 | (2) |
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Examples of Dark Solitons |
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111 | (2) |
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Instability-Induced Dynamics |
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113 | (9) |
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113 | (2) |
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Asymptotic Multiscale Analysis |
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115 | (3) |
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118 | (4) |
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122 | (4) |
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122 | (1) |
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123 | (2) |
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Stabilization of Dark Solitons |
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125 | (1) |
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126 | (6) |
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Raman-Induced Frequency Shift |
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127 | (1) |
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128 | (2) |
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130 | (2) |
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132 | (15) |
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133 | (5) |
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138 | (4) |
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142 | (5) |
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147 | (30) |
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147 | (2) |
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149 | (7) |
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149 | (2) |
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Continuous-Wave Solution in the Linear Case |
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151 | (2) |
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Grating-Induced Dispersion |
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153 | (1) |
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Grating as an Optical Filter |
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154 | (2) |
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156 | (6) |
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Nonlinear Dispersion Relations |
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156 | (2) |
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Linear Stability Analysis |
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158 | (2) |
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160 | (2) |
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Nonlinear Pulse Propagation |
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162 | (6) |
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162 | (3) |
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165 | (1) |
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Formation of Bragg Solitons |
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166 | (2) |
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168 | (9) |
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168 | (2) |
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170 | (1) |
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171 | (2) |
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173 | (4) |
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177 | (35) |
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Soliton Transverse Instability |
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177 | (6) |
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177 | (2) |
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Linear Stability Analysis |
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179 | (2) |
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Equations for Soliton Parameters |
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181 | (2) |
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Spatial Solitons in a Bulk Medium |
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183 | (8) |
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Structure and Stability of Solitons |
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184 | (3) |
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187 | (1) |
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Beam Collapse and Filamentation |
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188 | (3) |
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191 | (4) |
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Soliton Interaction and Spiraling |
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195 | (7) |
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195 | (1) |
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196 | (6) |
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Solitons with Angular Momentum |
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202 | (10) |
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202 | (3) |
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205 | (2) |
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207 | (5) |
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212 | (37) |
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Spatiotemporal Modulation Instability |
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212 | (3) |
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Optical Bullets and Their Stability |
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215 | (8) |
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Shape-Preserving Solutions |
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216 | (1) |
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217 | (2) |
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Pulse Propagation in Planar Waveguides |
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219 | (2) |
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Pulse Propagation in Bulk Kerr Media |
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221 | (2) |
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223 | (5) |
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Shape-Preserving Solutions |
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223 | (1) |
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224 | (2) |
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226 | (2) |
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Collapse-Arresting Mechanisms |
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228 | (5) |
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228 | (3) |
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Graded-Index Nonlinear Media |
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231 | (2) |
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233 | (9) |
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233 | (2) |
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235 | (1) |
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Intrapulse Raman Scattering |
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236 | (3) |
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239 | (1) |
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Direct Integration of Maxwell Equations |
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240 | (2) |
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242 | (7) |
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242 | (3) |
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Anomalous-Dispersion Regime |
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245 | (1) |
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246 | (3) |
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249 | (29) |
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249 | (2) |
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251 | (4) |
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Linear Stability Analysis |
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251 | (1) |
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Experimental Observations |
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252 | (3) |
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Properties of Vortex Solitons |
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255 | (11) |
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255 | (2) |
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Vortex Rotation and Drift |
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257 | (4) |
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261 | (5) |
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266 | (2) |
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Vortex Arrays and Lattices |
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268 | (3) |
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271 | (7) |
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274 | (4) |
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278 | (62) |
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Incoherently Coupled Solitons |
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278 | (7) |
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Coupled Nonlinear Schrodinger Equations |
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279 | (2) |
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Soliton-Induced Waveguiding |
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281 | (2) |
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283 | (2) |
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Multicomponent Vector Solitons |
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285 | (4) |
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Multiple Coupled NLS Equations |
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285 | (2) |
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Bifurcation Diagram for Vector Solitons |
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287 | (2) |
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Stability of Vector Solitons |
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289 | (6) |
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General Stability Analysis |
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289 | (3) |
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292 | (2) |
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294 | (1) |
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Coherently Coupled Solitons |
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295 | (11) |
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Coherently Coupled NLS Equations |
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296 | (2) |
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Shape-Preserving Solutions |
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298 | (4) |
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302 | (2) |
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304 | (2) |
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Multihump Vector Solitons |
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306 | (5) |
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Two-Dimensional Vector Solitons |
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311 | (15) |
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Radially Symmetric Vector Solitons |
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312 | (3) |
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Ring-Shaped Vector Solitons |
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315 | (1) |
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Multipole Vector Solitons |
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316 | (5) |
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Effect of Anisotropy and Nonlocality |
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321 | (3) |
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324 | (2) |
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Transverse Modulation Instability |
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326 | (1) |
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327 | (13) |
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Polarization-Domain Walls |
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328 | (2) |
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Vector Solitons Created by Optical Vortices |
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330 | (3) |
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333 | (7) |
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340 | (46) |
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340 | (3) |
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343 | (12) |
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One-Dimensional Quadratic Solitons |
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343 | (2) |
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Bright Quadratic Solitons |
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345 | (4) |
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Walking Quadratic Solitons |
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349 | (1) |
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Experimental Observations |
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350 | (2) |
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352 | (1) |
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353 | (2) |
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Three-Wave Quadratic Solitons |
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355 | (1) |
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Quadratic Solitons in Bulk Media |
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355 | (10) |
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Two-Dimensional Spatial Solitons |
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356 | (2) |
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358 | (4) |
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Transverse Modulation Instability |
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362 | (1) |
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Soliton Scattering and Fusion |
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363 | (2) |
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Multifrequency Parametric Solitons |
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365 | (5) |
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365 | (2) |
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Parametric Soliton-Induced Waveguides |
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367 | (3) |
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370 | (5) |
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Quasi-Phase-Matching Solitons |
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371 | (2) |
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Quasi-Periodic Parametric Solitons |
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373 | (2) |
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375 | (11) |
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375 | (1) |
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Parametric Vortex Solitons |
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376 | (2) |
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Parametric Optical Bullets |
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378 | (1) |
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Discrete Quadratic Solitons |
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379 | (1) |
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380 | (6) |
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386 | (39) |
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386 | (4) |
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Nonlinear Waveguide Arrays |
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387 | (1) |
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388 | (1) |
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Discrete Spatial Solitons |
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389 | (1) |
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390 | (7) |
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Improved Analytical Model |
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391 | (2) |
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Dispersion Characteristics |
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393 | (1) |
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Analytical Approximations |
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394 | (3) |
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397 | (4) |
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Plane-Wave Dispersion Relation |
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398 | (1) |
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Staggered and Unstaggered Modes |
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398 | (3) |
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401 | (9) |
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Odd and Even Bright Solitons |
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402 | (2) |
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404 | (2) |
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406 | (4) |
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410 | (7) |
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410 | (3) |
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413 | (1) |
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Interaction of Discrete Solitons |
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414 | (2) |
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416 | (1) |
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417 | (8) |
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Discrete-Soliton Networks |
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417 | (2) |
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Optically Induced Waveguide Arrays |
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419 | (2) |
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421 | (4) |
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Solitons in Photonic Crystals |
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425 | (22) |
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425 | (4) |
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426 | (1) |
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427 | (2) |
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Waveguides in Photonic Crystals |
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429 | (1) |
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Effective Discrete Models |
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429 | (4) |
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429 | (1) |
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430 | (3) |
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433 | (5) |
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Nonlinear Photonic Crystals |
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433 | (1) |
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Staggered and Unstaggered Modes |
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434 | (2) |
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436 | (2) |
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Two-Dimensional Photonic Crystals |
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438 | (4) |
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442 | (5) |
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444 | (3) |
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447 | (25) |
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447 | (2) |
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449 | (6) |
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449 | (2) |
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Mutual Coherence Function |
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451 | (1) |
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452 | (2) |
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454 | (1) |
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Bright Incoherent Solitons |
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455 | (8) |
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Properties of Partially Coherent Solitons |
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455 | (3) |
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Modulation Instability of Partially Coherent Beams |
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458 | (2) |
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460 | (3) |
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463 | (9) |
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Structure of Dark Incoherent Solitons |
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463 | (2) |
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465 | (4) |
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469 | (3) |
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472 | (55) |
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Self-Focusing and Solitons in Liquid Crystals |
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472 | (8) |
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Reorientation Nonlinearities |
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473 | (1) |
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Spatial Solitons in Liquid Crystals |
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474 | (4) |
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478 | (2) |
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480 | (7) |
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480 | (1) |
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481 | (3) |
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484 | (3) |
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Dissipative and Cavity Solitons |
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487 | (15) |
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History and Basic Physics |
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489 | (1) |
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490 | (3) |
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Semiconductor Microresonators |
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493 | (6) |
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Parametric Cavity Solitons |
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499 | (3) |
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502 | (7) |
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502 | (2) |
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Bright and Dark Magnetic Solitons |
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504 | (3) |
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Soliton and Bullet Collisions |
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507 | (2) |
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Bose--Einstein Condensates |
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509 | (18) |
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Gross--Pitaevskii Equation |
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510 | (1) |
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Nonlinear Modes in a Parabolic Trap |
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511 | (4) |
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515 | (2) |
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517 | (2) |
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519 | (2) |
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521 | (6) |
Index |
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527 | |