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arXiv 0804.18522008-04-11nlin.SInlin.PS

饱和非线性介质中精确的亮、暗空间孤子解

Exact Bright and Dark Spatial Soliton Solutions in Saturable Nonlinear Media

Gabriel F. Calvo, Juan Belmonte-Beitia, Victor M. Perez-Garcia

备注：: 16 pages, 5 figures
DOI：: 10.1016/j.chaos.2008.07.024

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摘要：

我们提出了精确的分析明亮和黑暗（黑色和灰色）孤立波解的非线性薛定谔型方程描述的空间光束在介质中的传播表现出饱和的非线性（如中心对称的光折变材料）。定性研究的定常方程进行一起讨论的稳定性的解决方案。

英文摘要：

We present exact analytical bright and dark (black and grey) solitary wave solutions of a nonlinear Schrodinger-type equation describing the propagation of spatial beams in media exhibiting a saturable nonlinearity (such as centrosymmetric photorefractive materials). A qualitative study of the stationary equation is carried out together with a discussion of the stability of the solutions.

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