Trial function method and exact solutions to the generalized nonlinear Schrödinger equation with time-dependent coefficient

doi:10.1088/1674-1056/22/10/100507

Abstract In this paper, the trial function method is extended to study the generalized nonlinear Schrödinger equation with time-dependent coefficients. On the basis of a generalized traveling wave transformation and a trial function, we investigate the exact envelope traveling wave solutions of the generalized nonlinear Schrödinger equation with time-dependent coefficients. Taking advantage of solutions to trial function, we successfully obtain exact solutions for the generalized nonlinear Schrödinger equation with time-dependent coefficients under constraint conditions.

Keywords: generalized nonlinear Schrödinger equation exact solution trial function method

Received: 24 December 2012
Revised: 18 April 2013
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	02.30.Jr	(Partial differential equations)
	02.30.Hq	(Ordinary differential equations)

Fund: Project supported in part by the National Natural Science Foundation of China (Grant No. 11071177).

Corresponding Authors: Cao Rui
E-mail: ruicao999@126.com

Cite this article:

Cao Rui (曹瑞), Zhang Jian (张健) Trial function method and exact solutions to the generalized nonlinear Schrödinger equation with time-dependent coefficient 2013 Chin. Phys. B 22 100507

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Trial function method and exact solutions to the generalized nonlinear Schrödinger equation with time-dependent coefficient

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