扩展变换有理函数法在若干(3+1)维非线性发展方程中的应用

Boyutlu Lineer Olmayan, Oluşum Denklemlerine Uygulanması
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引用次数: 2

摘要

变换有理函数方法可以看作是tanh型方法、齐次平衡方法、映射方法、exp-函数方法和f -展开方法的统一。本文利用扩展的变换有理函数方法给出了(3+1)维Korteweg-de Vries (KdV)方程的复变解和一种新的(3+1)维广义kadomtsev - petviashvile方程,为求解非线性演化方程的复变解提供了非常有用和有效的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Application of Extended Transformed Rational Function Method to Some (3+1) Dimensional Nonlinear Evolution Equations
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.
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