Feng’s First Integral Method for Analytic Treatment of Two Higher Dimensional Nonlinear Partial Differential Equations

被引：33

作者：

Hosseini K. ^{[1
]}

Gholamin P. ^{[1
]}

机构：

[1] Department of Applied Mathematics, Ahrar Institute of Technology and Higher Education, Rasht

来源：

Differential Equations and Dynamical Systems | 2015年 / 23卷 / 3期

关键词：

(3+1)-Dimensional modified KdV–Zakharov–Kuznetsev equation; (3+1)-Dimensional Zakharov–Kuznetsov equation; Analytic treatment; First integral method; Ring theory of commutative algebra;

D O I：

10.1007/s12591-014-0222-x

中图分类号：

学科分类号：

摘要：

Analytic treatment of nonlinear partial differential equations is increasingly attracting the attention of academic researchers worldwide. Therefore, in the present study, Feng’s first integral method which is based on the ring theory of commutative algebra is utilized for analytic treatment of two higher dimensional nonlinear partial differential equations, including the (3+1)-dimensional modified KdV–Zakharov–Kuznetsev equation and the (3+1)-dimensional Zakharov–Kuznetsov equation. © 2014, Foundation for Scientific Research and Technological Innovation.

引用

页码：317 / 325

页数：8

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