The general traveling wave solutions of the Fisher type equations and some related problems

In this article, we introduce two recent results with respect to the integrality and exact solutions of the Fisher type equations and their applications. We obtain the sufficient and necessary conditions of integrable and general meromorphic solutions of these equations by the complex method. Our re...

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Vydáno v:Journal of inequalities and applications Ročník 2014; číslo 1; s. 1 - 15
Hlavní autoři: Yuan, Wenjun, Xiao, Bing, Wu, Yonghong, Qi, Jianming
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 18.12.2014
Springer Nature B.V
Témata:
Analogue
Analysis
Applications of Mathematics
Exact solutions
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear differential equations
Partial differential equations
Recent Advances in Inequalities and Applications from Real and Complex Analysis
Traveling waves
general solution
differential equation
meromorphic function
elliptic function
ISSN:1029-242X, 1025-5834, 1029-242X
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Popis
Shrnutí:In this article, we introduce two recent results with respect to the integrality and exact solutions of the Fisher type equations and their applications. We obtain the sufficient and necessary conditions of integrable and general meromorphic solutions of these equations by the complex method. Our results are of the corresponding improvements obtained by many authors. All traveling wave exact solutions of many nonlinear partial differential equations are obtained by making use of our results. Our results show that the complex method provides a powerful mathematical tool for solving a great number of nonlinear partial differential equations in mathematical physics. We will propose four analogue problems and expect that the answer is positive, at last. MSC: 30D35, 34A05.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2014-500