中国物理B ›› 2008, Vol. 17 ›› Issue (3): 759-763.doi: 10.1088/1674-1056/17/3/004

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

李画眉   

  1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2007-04-04 修回日期:2007-09-24 出版日期:2008-03-04 发布日期:2008-03-04
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10575087), the Natural Science Foundation of Zhejiang Province, China (Grant No Y605056).

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

Li Hua-Mei(李画眉)†   

  1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • Received:2007-04-04 Revised:2007-09-24 Online:2008-03-04 Published:2008-03-04
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10575087), the Natural Science Foundation of Zhejiang Province, China (Grant No Y605056).

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摘要： This paper analyses bright and dark spatial self-similar waves propagation and collision in graded-index nonlinear waveguide amplifiers with self-focusing and self-defocusing Kerr nonlinearities. It finds an appropriate transformation for the first time such that the nonlinear Schr\"odinger 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.

关键词: exact self-similar solitary wave, graded-index nonlinear waveguide amplifier, collision

Abstract: This paper analyses bright and dark spatial self-similar waves propagation and collision in graded-index nonlinear waveguide amplifiers with self-focusing and self-defocusing Kerr nonlinearities. It finds an appropriate transformation for the first time such that the nonlinear Schrödinger 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.

Key words: exact self-similar solitary wave, graded-index nonlinear waveguide amplifier, collision

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg
42.65.Hw (Phase conjugation; photorefractive and Kerr effects) 42.65.Wi (Nonlinear waveguides) 42.65.Yj (Optical parametric oscillators and amplifiers) 42.79.Ry (Gradient-index (GRIN) devices)