Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations-Reference-Cited by-同舟云学术

Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Xu Gui-qiong¹

Affiliation:

1. Department of Information Management, College of Management, Shanghai University, Shanghai 200444, China

Abstract

The auxiliary equation method proposed by Sirendaoreji is extended to construct new types of elliptic function solutions of nonlinear evolution equations. The effectiveness of the extended method is demonstrated by applications to the RKL model, the generalized derivative NLS equation and the Kundu-Eckhaus equation. Not only are the Jacobian elliptic function solutions are derived, but also the solitary wave solutions and trigonometric function solutions are obtained in a unified way.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/541370.pdf

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3. Cambridge Tracts in Mathematics,2004