Application of Extended Transformed Rational Function Method to Some (3+1) Dimensional Nonlinear Evolution Equations

Ömer Ünsal

Abstract


The transformed rational function method can be considered as unification of the tanh type methods, the homogeneous balance method, the mapping method, the exp-function method and the F-expansion type methods. In this paper, we present complexiton solutions of (3+1) dimensional Korteweg-de Vries (KdV) equation and a new (3+1) dimensional generalized Kadomtsev-Petviashvili equation by using extended transformed rational function method which provides very useful and effective way to obtain complexiton solutions of nonlinear evolution equations.


Keywords


Extended transformed rational function method; complexiton solutions; (3+1) dimensional KdV equation; new (3+1) dimensional generalized Kadomtsev-Petviashvili equation

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DOI: http://dx.doi.org/10.7212%2Fzkufbd.v8i2.1042

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