Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method

Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method

A new Bernoulli equation-based subequation method is proposed to establish variable-coefficient exact solutions for nonlinear differential equations. For illustrating the validity of this method, we apply it to the asymmetric (2 + 1)-dimensional NNV system and the Kaup-Kupershmidt equation. As a res...

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Main Authors: Chunxia Qi, Shunliang Huang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/923408
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spelling doaj-360b959aa3b142c3891d3e259a4a16d22020-11-24T22:38:41ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/923408923408Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation MethodChunxia Qi0Shunliang Huang1School of Business, Shandong University of Technology, Zibo, Shandong 255049, ChinaSchool of Business, Shandong University of Technology, Zibo, Shandong 255049, ChinaA new Bernoulli equation-based subequation method is proposed to establish variable-coefficient exact solutions for nonlinear differential equations. For illustrating the validity of this method, we apply it to the asymmetric (2 + 1)-dimensional NNV system and the Kaup-Kupershmidt equation. As a result, some new exact solutions with variable functions coefficients for them are successfully obtained.http://dx.doi.org/10.1155/2013/923408
collection DOAJ
language English
format Article
sources DOAJ
author Chunxia Qi
Shunliang Huang
spellingShingle Chunxia Qi
Shunliang Huang
Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method
Mathematical Problems in Engineering
author_facet Chunxia Qi
Shunliang Huang
author_sort Chunxia Qi
title Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method
title_short Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method
title_full Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method
title_fullStr Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method
title_full_unstemmed Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method
title_sort variable-coefficient exact solutions for nonlinear differential equations by a new bernoulli equation-based subequation method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description A new Bernoulli equation-based subequation method is proposed to establish variable-coefficient exact solutions for nonlinear differential equations. For illustrating the validity of this method, we apply it to the asymmetric (2 + 1)-dimensional NNV system and the Kaup-Kupershmidt equation. As a result, some new exact solutions with variable functions coefficients for them are successfully obtained.
url http://dx.doi.org/10.1155/2013/923408
work_keys_str_mv AT chunxiaqi variablecoefficientexactsolutionsfornonlineardifferentialequationsbyanewbernoulliequationbasedsubequationmethod
AT shunlianghuang variablecoefficientexactsolutionsfornonlineardifferentialequationsbyanewbernoulliequationbasedsubequationmethod
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