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Chin. Phys. B, 2012, Vol. 21(5): 050510    DOI: 10.1088/1674-1056/21/5/050510
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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
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.
Keywords:  cubic--quintic nonlinear Schr?dinger equation      similarity transformation      explicit solutions   
Received:  11 November 2011      Revised:  27 April 2012      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  03.65.Ge (Solutions of wave equations: bound states)  
Fund: Project supported by the Scientific Research Foundation of Lishui University, China (Grant No. KZ201110).

Cite this article: 

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 2012 Chin. Phys. B 21 050510

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