The first integral method for constructing exact and explicit solutions to nonlinear evolution equations

被引：17

作者：

Aslan, Ismail ^{[1
]}

机构：

[1] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 06期

关键词：

first integral method; negative order KdV equation; generalized Zakharov system; exact solutions; HOMOTOPY PERTURBATION METHOD; PARTIAL-DIFFERENTIAL-EQUATION; TRAVELING-WAVE SOLUTIONS; F-EXPANSION METHOD; SYSTEM;

D O I：

10.1002/mma.1599

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Problems that are modeled by nonlinear evolution equations occur in many areas of applied sciences. In the present study, we deal with the negative order KdV equation and the generalized Zakharov system and derive some further results using the so-called first integral method. By means of the established first integrals, some exact traveling wave solutions are obtained in a concise manner. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：716 / 722

页数：7

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