Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential

doi:10.1088/1674-1056/21/5/050512

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50512-050512.doi: 10.1088/1674-1056/21/5/050512

Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential

李画眉,葛龙,何俊荣

Department of Physics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2011-12-02 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875106 and 11175158).

Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential

Li Hua-Mei(李画眉)^†, Ge Long(葛龙), and He Jun-Rong(何俊荣)

Department of Physics, Zhejiang Normal University, Jinhua 321004, China

Received:2011-12-02 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875106 and 11175158).

摘要/Abstract

摘要： We present exact bright multi-soliton solutions of a generalized nonautonomous nonlinear Schrödinger equation with time-and space-dependent distributed coefficients and an external potential which describes a pulse propagating in nonlinear media when its transverse and longitudinal directions are nonuniformly distributed. Such solutions exist in certain constraint conditions on the coefficients depicting dispersion, nonlinearity, and gain (loss). Various shapes of bright solitons and interesting interactions between two solitons are observed. Physical applications of interest to the field and stability of the solitons are discussed.

关键词: generalized nonautonomous nonlinear Schrö, dinger equation, multi-soliton solution, Fourier-synthesized optical lattice potential, flying bird potential

Abstract: We present exact bright multi-soliton solutions of a generalized nonautonomous nonlinear Schrödinger equation with time-and space-dependent distributed coefficients and an external potential which describes a pulse propagating in nonlinear media when its transverse and longitudinal directions are nonuniformly distributed. Such solutions exist in certain constraint conditions on the coefficients depicting dispersion, nonlinearity, and gain (loss). Various shapes of bright solitons and interesting interactions between two solitons are observed. Physical applications of interest to the field and stability of the solitons are discussed.

Key words: generalized nonautonomous nonlinear Schrödinger equation, multi-soliton solution, Fourier-synthesized optical lattice potential, flying bird potential

中图分类号: (Solitons)

05.45.Yv

03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 42.65.Tg (Optical solitons; nonlinear guided waves)

李画眉,葛龙,何俊荣. Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential[J]. 中国物理B, 2012, 21(5): 50512-050512.

Li Hua-Mei(李画眉), Ge Long(葛龙), and He Jun-Rong(何俊荣) . Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential[J]. Chin. Phys. B, 2012, 21(5): 50512-050512.

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Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential

Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential

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