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

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

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-...

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Main Author: Gui-qiong Xu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/541370
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spelling doaj-2f229f74b4b046879caad9de20d3054d2020-11-24T22:25:19ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/541370541370Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS EquationsGui-qiong Xu0Department of Information Management, College of Management, Shanghai University, Shanghai 200444, ChinaThe 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.http://dx.doi.org/10.1155/2014/541370
collection DOAJ
language English
format Article
sources DOAJ
author Gui-qiong Xu
spellingShingle Gui-qiong Xu
Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
Abstract and Applied Analysis
author_facet Gui-qiong Xu
author_sort Gui-qiong Xu
title Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
title_short Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
title_full Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
title_fullStr Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
title_full_unstemmed Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
title_sort extended auxiliary equation method and its applications to three generalized nls equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/541370
work_keys_str_mv AT guiqiongxu extendedauxiliaryequationmethodanditsapplicationstothreegeneralizednlsequations
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