Chin. Phys. Lett.  2011, Vol. 28 Issue (4): 040202    DOI: 10.1088/0256-307X/28/4/040202
GENERAL |
A Modification of Extended Homoclinic Test Approach to Solve the (3+1)-Dimensional Potential-YTSF Equation
M. T. Darvishi**, Mohammad Najafi
Department of Mathematics, Razi University, Kermanshah 67149, Iran
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M. T. Darvishi, Mohammad Najafi 2011 Chin. Phys. Lett. 28 040202
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Abstract By means of the extended homoclinic test approach (EHTA) one can solve some nonlinear partial differential equations (NLPDEs) in their bilinear forms. When an NLPDE has no bilinear closed form we can not use this method. We modify the idea of EHTA to obtain some analytic solutions for the (3+1)-dimensional potential-Yu-Toda-Sasa-Fukuyama (YTSF) equation by obtaining a bilinear closed form for it. By comparison of this method and other analytic methods, like HAM, HTA and three-wave methods, we can see that the new idea is very easy and straightforward.
Keywords: 02.30.Jr      02.70.Wz     
Received: 16 July 2010      Published: 29 March 2011
PACS:  02.30.Jr (Partial differential equations)  
  02.70.Wz (Symbolic computation (computer algebra))  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/4/040202       OR      https://cpl.iphy.ac.cn/Y2011/V28/I4/040202
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M. T. Darvishi
Mohammad Najafi
[1] He J H 1999 Int. J. Non-Linear Mech. 34 699
[2] Darvishi M T, Khani F and Soliman A A 2007 Comput. Math. Appl. 54(7-8) 1055
[3] Darvishi M T and Khani F 2009 Chaos, Solitons and Fractals 39 2484
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