Exact solutions of two nonlinear partial differential equations by using the first integral method

In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. In this paper, we utilize this method and obtain exact solutions of two nonlinear partial d...

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Published inBoundary value problems Vol. 2013; no. 1; p. 117
Main Authors Jafari, Hossein, Soltani, Rahmat, Khalique, Chaudry Masood, Baleanu, Dumitru
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 07.05.2013
BioMed Central Ltd
Subjects
Analysis
Approximations and Expansions
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Recent Trends on Boundary Value Problems and Related Topics
double sine-Gordon equation
exact solutions
Burgers equation
first integral method
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Abstract In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. In this paper, we utilize this method and obtain exact solutions of two nonlinear partial differential equations, namely double sine-Gordon and Burgers equations. It is found that the method by Feng is a very efficient method which can be used to obtain exact solutions of a large number of nonlinear partial differential equations.
AbstractList In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. In this paper, we utilize this method and obtain exact solutions of two nonlinear partial differential equations, namely double sine-Gordon and Burgers equations. It is found that the method by Feng is a very efficient method which can be used to obtain exact solutions of a large number of nonlinear partial differential equations.
ArticleNumber 117
Author Soltani, Rahmat
Jafari, Hossein
Baleanu, Dumitru
Khalique, Chaudry Masood
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  givenname: Hossein
  surname: Jafari
  fullname: Jafari, Hossein
  email: jafari@umz.ac.ir
  organization: Department of Mathematics, University of Mazandaran, International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University
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  givenname: Rahmat
  surname: Soltani
  fullname: Soltani, Rahmat
  organization: Department of Mathematics, University of Mazandaran
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  givenname: Chaudry Masood
  surname: Khalique
  fullname: Khalique, Chaudry Masood
  organization: International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University
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  givenname: Dumitru
  surname: Baleanu
  fullname: Baleanu, Dumitru
  organization: Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Çankaya University, Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Institute of Space Sciences
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Copyright Jafari et al.; licensee Springer. 2013. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright_xml – notice: Jafari et al.; licensee Springer. 2013. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Issue 1
Keywords double sine-Gordon equation
exact solutions
Burgers equation
first integral method
Language English
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Snippet In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as...
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SubjectTerms Analysis
Approximations and Expansions
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Recent Trends on Boundary Value Problems and Related Topics
Title Exact solutions of two nonlinear partial differential equations by using the first integral method
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