The Study of the Solution to a Generalized KdV-mKdV Equation

A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is employed to investigate a generalized KdV-mKdV equation which possesses high-order nonlinear terms. Some new solutions including the Jacobi elliptic function solutions, the degenerated soliton-like...

Full description

Saved in:
Bibliographic Details
Main Authors: Xiumei Lv, Tengwei Shao, Jiacheng Chen
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/249043
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832553020917809152
author Xiumei Lv
Tengwei Shao
Jiacheng Chen
author_facet Xiumei Lv
Tengwei Shao
Jiacheng Chen
author_sort Xiumei Lv
collection DOAJ
description A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is employed to investigate a generalized KdV-mKdV equation which possesses high-order nonlinear terms. Some new solutions including the Jacobi elliptic function solutions, the degenerated soliton-like solutions, and the triangle function solutions to the equation are obtained.
format Article
id doaj-art-e6572cfa7de74cf990929d3d91f2f2c6
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-e6572cfa7de74cf990929d3d91f2f2c62025-02-03T05:57:11ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/249043249043The Study of the Solution to a Generalized KdV-mKdV EquationXiumei Lv0Tengwei Shao1Jiacheng Chen2School of Finance, Chongqing Technology and Business University, Chongqing 400067, ChinaSchool of Finance, Chongqing Technology and Business University, Chongqing 400067, ChinaSchool of Finance, Southwestern University of Finance and Economics, Chengdu 611130, ChinaA mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is employed to investigate a generalized KdV-mKdV equation which possesses high-order nonlinear terms. Some new solutions including the Jacobi elliptic function solutions, the degenerated soliton-like solutions, and the triangle function solutions to the equation are obtained.http://dx.doi.org/10.1155/2013/249043
spellingShingle Xiumei Lv
Tengwei Shao
Jiacheng Chen
The Study of the Solution to a Generalized KdV-mKdV Equation
Abstract and Applied Analysis
title The Study of the Solution to a Generalized KdV-mKdV Equation
title_full The Study of the Solution to a Generalized KdV-mKdV Equation
title_fullStr The Study of the Solution to a Generalized KdV-mKdV Equation
title_full_unstemmed The Study of the Solution to a Generalized KdV-mKdV Equation
title_short The Study of the Solution to a Generalized KdV-mKdV Equation
title_sort study of the solution to a generalized kdv mkdv equation
url http://dx.doi.org/10.1155/2013/249043
work_keys_str_mv AT xiumeilv thestudyofthesolutiontoageneralizedkdvmkdvequation
AT tengweishao thestudyofthesolutiontoageneralizedkdvmkdvequation
AT jiachengchen thestudyofthesolutiontoageneralizedkdvmkdvequation
AT xiumeilv studyofthesolutiontoageneralizedkdvmkdvequation
AT tengweishao studyofthesolutiontoageneralizedkdvmkdvequation
AT jiachengchen studyofthesolutiontoageneralizedkdvmkdvequation