Solitons for the cubic–quintic nonlinear Schrödinger equation with varying coefficients

doi:10.1088/1674-1056/21/5/050510

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50510-050510.doi: 10.1088/1674-1056/21/5/050510

Solitons for the cubic–quintic nonlinear Schrödinger equation with varying coefficients

陈元明,马松华,马正义

College of Sciences, Lishui University, Lishui 323000, China

收稿日期:2011-11-11 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 Scientific Research Foundation of Lishui University, China (Grant No. KZ201110).

Solitons for the cubic–quintic nonlinear Schrödinger equation with varying coefficients

Chen Yuan-Ming(陈元明)^†, Ma Song-Hua(马松华), and Ma Zheng-Yi(马正义)

College of Sciences, Lishui University, Lishui 323000, China

Received:2011-11-11 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the Scientific Research Foundation of Lishui University, China (Grant No. KZ201110).

摘要/Abstract

摘要： In this paper, by means of similarity transfomations, we obtain explicit solutions to the cubic--quintic nonlinear Schrödinger equation with varying coefficients, which involve four free functions of space. Four types of free functions are chosen to exhibit the corresponding nonlinear wave propagations.

关键词: cubic--quintic nonlinear Schrö, dinger equation, similarity transformation, explicit solutions

Abstract: In this paper, by means of similarity transfomations, we obtain explicit solutions to the cubic--quintic nonlinear Schrödinger equation with varying coefficients, which involve four free functions of space. Four types of free functions are chosen to exhibit the corresponding nonlinear wave propagations.

Key words: cubic--quintic nonlinear Schr?dinger equation, similarity transformation, explicit solutions

中图分类号: (Solitons)

05.45.Yv

03.65.Ge (Solutions of wave equations: bound states)

陈元明, 马松华, 马正义. Solitons for the cubic–quintic nonlinear Schrödinger equation with varying coefficients[J]. 中国物理B, 2012, 21(5): 50510-050510.

Chen Yuan-Ming(陈元明), Ma Song-Hua(马松华), and Ma Zheng-Yi(马正义) . Solitons for the cubic–quintic nonlinear Schrödinger equation with varying coefficients[J]. Chin. Phys. B, 2012, 21(5): 50510-050510.

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Solitons for the cubic–quintic nonlinear Schrödinger equation with varying coefficients

Solitons for the cubic–quintic nonlinear Schrödinger equation with varying coefficients

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