The new exact solutions of Volterra difference-differential equation and KdV difference-differential equation

被引：15

作者：

Taogetusang ^{[1
]}

Sirendaoerji ^{[1
]}

机构：

[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China

来源：

ACTA PHYSICA SINICA | 2009年 / 58卷 / 09期

基金：

中国国家自然科学基金;

关键词：

auxiliary equation; function transformation; nonlinear difference-differential equation; solitary wave solution; SOLITARY WAVE SOLUTIONS; HYBRID-LATTICE;

D O I：

10.7498/aps.58.5887

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the auxiliary equation method and the trial function method, a method for combining function transformation with auxiliary equation is proposed. And the method is applied to construct new exact solitary wave solutions and triangle function solutions of Volterra and KdV difference-differential equations with the help of symbolic computation system Mathematics. Our method can also be applied to other nonlinear difference-differential equations.

引用

页码：5887 / 5893

页数：7

共 14 条

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