Exact self-similar solitary waves and collisions in nonlinear optical media

• 来源期刊: 中国物理B（英文版）
• 关键词: exact self-similar solitary wave graded-index nonlinear waveguide amplifier collision
• 年，卷（期）: 2008,（3）
• 页码范围: 759-763
• 页数: 5页
• 语种: 英文

摘要

This paper analyses bright and dark spatial self-similar waves propagation and collision in graded-index nonlinear waveguidc amplifiers with self-focusing and self-defocnsing Kerr nonlinearities.It finds an appropriate transformation for the first time such that the nonlinear Schr'6dinger equation (NLSE) with varying coefficients transform into standard NLSE. It obtains one-solitonlike, two-solitonlike and multi-solitonlike self-similar wave solutions by using the transformation. Furthermore, it analyses the features of the self-similar waves and their collisions.