Analytic treatment of nonlinear evolution equations using first integral method

被引：48

作者：

Bekir, Ahmet ^{[1
]}

Unsal, Omer ^{[1
]}

机构：

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

来源：

PRAMANA-JOURNAL OF PHYSICS | 2012年 / 79卷 / 01期

关键词：

Exact solutions; first integral method; combined KdV-mKdV equation; Pochhammer-Chree equation; coupled nonlinear evolution equations; TRAVELING-WAVE SOLUTIONS; POCHHAMMER-CHREE EQUATIONS; MULTIPLE-SOLITON SOLUTIONS; HOMOGENEOUS BALANCE METHOD; EXP-FUNCTION METHOD; KDV-MKDV EQUATION; DE-VRIES EQUATION; (G'/G)-EXPANSION METHOD; TANH METHOD; MATHEMATICAL PHYSICS;

D O I：

10.1007/s12043-012-0282-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we show the applicability of the first integral method to combined KdV-mKdV equation, Pochhammer-Chree equation and coupled nonlinear evolution equations. The power of this manageable method is confirmed by applying it for three selected nonlinear evolution equations. This approach can also be applied to other nonlinear differential equations.

引用

页码：3 / 17

页数：15

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