Conservation laws and Exact Solutions of Phi-Four (Phi-4) Equation via the (G′/G, 1/G)-Expansion Method

被引：26

作者：

Akbulut, Arzu ^{[1
]}

Kaplan, Melike ^{[1
]}

Tascan, Filiz ^{[1
]}

机构：

[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2016年 / 71卷 / 05期

关键词：

Conservation Law; Exact Solution; (G'/G; 1/G)-Expansion Method; Phi-4; Equation; TRAVELING-WAVE SOLUTIONS; MATHEMATICAL PHYSICS; SYMMETRIES;

D O I：

10.1515/zna-2016-0010

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this article, we constructed formal Lagrangian of Phi-4 equation, and then via this formal Lagrangian, we found adjoint equation. We investigated if the Lie point symmetries of the equation satisfy invariance condition or not. Then we used conservation theorem to find conservation laws of Phi-4 equation. Finally, the exact solutions of the equation were obtained through the (G'/G, 1/G)-expansion method.

引用

页码：439 / 446

页数：8

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