论文标题
由强度依赖性分散体支持的孤子
Solitons supported by intensity-dependent dispersion
论文作者
论文摘要
研究了孤子溶液,以依赖强度的分散体进行近后波传播。尽管相应的Lagrangian密度具有奇异性,但通过伪电势方法得出的分析溶液和相应的相图显示了一个单一和两个凸起的孤子,几乎是与数值溶液一致的一致性。在这项工作中获得的结果揭示了迄今未开发的孤子物理学区域,与非线性校正相关的波散分散。
Soliton solutions are studied for paraxial wave propagation with intensity-dependent dispersion. Although the corresponding Lagrangian density has a singularity, analytical solutions, derived by the pseudo-potential method and the corresponding phase diagram, exhibit one- and two-humped solitons with almost perfect agreement to numerical solutions. The results obtained in this work reveal a hitherto unexplored area of soliton physics associated with nonlinear corrections to wave dispersion.