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

被引:0
作者
Hossein Jafari
Rahmat Soltani
Chaudry Masood Khalique
Dumitru Baleanu
机构
[1] University of Mazandaran,Department of Mathematics
[2] North-West University,International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences
[3] Çankaya University,Department of Mathematics and Computer Sciences, Faculty of Art and Sciences
[4] King Abdulaziz University,Department of Chemical and Materials Engineering, Faculty of Engineering
[5] Institute of Space Sciences,undefined
来源
Boundary Value Problems | / 2013卷
关键词
first integral method; double sine-Gordon equation; Burgers equation; exact solutions;
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摘要
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.
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共 46 条
[1]  
Wazwaz AM(2007)New solitary wave and periodic wave solutions to the Appl. Math. Comput 187 1584-1591
[2]  
Abdou MA(2007)-dimensional Nizhnik-Novikov-Veselov system Appl. Math. Comput 190 988-996
[3]  
Shukri S(2010)The extended tanh method and its applications for solving nonlinear physical models Appl. Math. Comput 217 1997-2006
[4]  
Al-Khaled K(2004)The extended tanh method for solving systems of nonlinear wave equations J. Comput. Appl. Math 164 529-541
[5]  
Malfliet W(1996)The tanh method: a tool for solving certain classes of nonlinear evolution and wave equations Phys. Scr 54 563-568
[6]  
Malfliet W(1996)The tanh method: I. Exact solutions of nonlinear evolution and wave equations Phys. Scr 54 569-575
[7]  
Hereman W(2006)The tanh method: II. Perturbation technique for conservative systems Physica A 361 394-404
[8]  
Malfliet W(2006)The modified extended tanh-function method for solving Burgers-type equations Phys. Lett. A 353 487-492
[9]  
Hereman W(2008)Modified extended tanh-function method and its application on nonlinear physical equations Appl. Math. Comput 204 20-26
[10]  
Soliman AA(2010)Single and multiple-soliton and solutions for the Appl. Math. Comput 217 1484-1490