ANALYTICAL TREATMENT OF SOME PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS BY USING THE Exp-FUNCTION METHOD

作者：Dehghan Mehdi^*; Manafian Jalil; Saadatmandi Abbas

来源：International Journal of Modern Physics B, 2011, 25(22): 2965-2981.

DOI：10.1142/S021797921110148X

• Analytical treatment
• Exp-function method (EFM)
• nonlinear partial differential equation
• Zakharov-Kuznetsov (ZK) equation
• modified Zakharov-Kuznetsov (mZK) equation
• generalized form of modified Zakharov-Kuznetsov (gmZK) equation
• solitons and periodic structures
• traveling wave solution

The Exp-function method with the aid of symbolic computational system can be used to obtain the generalized solitary solutions and periodic solutions for nonlinear evolution equations arising in mathematical physics. In this paper, we study the analytic treatment of the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and the generalized forms of these equations. Exact solutions with solitons and periodic structures are obtained.

• 出版日期2011-9-10