Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients

Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients

By using solutions of an ordinary differential equation, an auxiliary equation method is described to seek exact solutions of variable-coefficient KdV-MKdV equation. As a result, more new exact nontravelling solutions, which include soliton solutions, combined soliton solutions, triangular periodic...

Full description

Bibliographic Details
Main Authors: Bo Tang, Xuemin Wang, Yingzhe Fan, Junfeng Qu
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2016/5274243
id doaj-b35825314fc0414aa282f0f45bb85c09
record_format Article
spelling doaj-b35825314fc0414aa282f0f45bb85c092020-11-24T22:43:12ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472016-01-01201610.1155/2016/52742435274243Exact Solutions for a Generalized KdV-MKdV Equation with Variable CoefficientsBo Tang0Xuemin Wang1Yingzhe Fan2Junfeng Qu3School of Mathematics and Computer Science, Hubei University of Arts and Science, Xiangyang, Hubei 441053, ChinaTexas University at Dallas, Dallas, TX 75080-3021, USASchool of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, ChinaSchool of Mathematics and Computer Science, Hubei University of Arts and Science, Xiangyang, Hubei 441053, ChinaBy using solutions of an ordinary differential equation, an auxiliary equation method is described to seek exact solutions of variable-coefficient KdV-MKdV equation. As a result, more new exact nontravelling solutions, which include soliton solutions, combined soliton solutions, triangular periodic solutions, Jacobi elliptic function solutions, and combined Jacobi elliptic function solutions, for the KdV-MKdV equation are obtained. It is shown that the considered method provides a very effective, convenient, and powerful mathematical tool for solving many other nonlinear partial differential equations with variable coefficients in mathematical physics.http://dx.doi.org/10.1155/2016/5274243
collection DOAJ
language English
format Article
sources DOAJ
author Bo Tang
Xuemin Wang
Yingzhe Fan
Junfeng Qu
spellingShingle Bo Tang
Xuemin Wang
Yingzhe Fan
Junfeng Qu
Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients
Mathematical Problems in Engineering
author_facet Bo Tang
Xuemin Wang
Yingzhe Fan
Junfeng Qu
author_sort Bo Tang
title Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients
title_short Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients
title_full Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients
title_fullStr Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients
title_full_unstemmed Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients
title_sort exact solutions for a generalized kdv-mkdv equation with variable coefficients
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2016-01-01
description By using solutions of an ordinary differential equation, an auxiliary equation method is described to seek exact solutions of variable-coefficient KdV-MKdV equation. As a result, more new exact nontravelling solutions, which include soliton solutions, combined soliton solutions, triangular periodic solutions, Jacobi elliptic function solutions, and combined Jacobi elliptic function solutions, for the KdV-MKdV equation are obtained. It is shown that the considered method provides a very effective, convenient, and powerful mathematical tool for solving many other nonlinear partial differential equations with variable coefficients in mathematical physics.
url http://dx.doi.org/10.1155/2016/5274243
work_keys_str_mv AT botang exactsolutionsforageneralizedkdvmkdvequationwithvariablecoefficients
AT xueminwang exactsolutionsforageneralizedkdvmkdvequationwithvariablecoefficients
AT yingzhefan exactsolutionsforageneralizedkdvmkdvequationwithvariablecoefficients
AT junfengqu exactsolutionsforageneralizedkdvmkdvequationwithvariablecoefficients
_version_ 1725696989837918208

Similar Items