Akhmediev Nail, Soto-Crespo J M, Grelu Philippe
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia.
Chaos. 2007 Sep;17(3):037112. doi: 10.1063/1.2746830.
Nonlinear dissipative systems display the full (3+1)D spatiotemporal dynamics of stable optical solitons. We review recent results that were obtained within the complex cubic-quintic Ginzburg-Landau equation model. Numerical simulations reveal the existence of stationary bell-shaped (3+1)D solitons for both anomalous and normal chromatic dispersion regimes, as well as the formation of double soliton complexes. We provide additional insight concerning the possible dynamics of these soliton complexes, consider collision cases between two solitons, and discuss the ways nonstationary evolution can lead to optical pattern formation.
非线性耗散系统展现出稳定光学孤子完整的(3 + 1)维时空动力学。我们回顾了在复立方 - 五次金兹堡 - 朗道方程模型中获得的近期成果。数值模拟揭示了在反常色散和正常色散区域均存在稳态钟形(3 + 1)维孤子,以及双孤子复合体的形成。我们提供了关于这些孤子复合体可能动力学的更多见解,考虑了两个孤子之间的碰撞情况,并讨论了非稳态演化导致光学图案形成的方式。