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KdV类非线性方程显示精确孤波解
Explicit Exact Solitary Wave Solutions for KdV-like Nonlinear Equations
【摘要】 用一种新的函数变换法,简便地求出了两种KdV类非线性方程的若干显示精确孤波解.此方法同样适用于其他非线性方程,特别对那些带有高次非线性项的方程,该方法具有独特的优点.
【Abstract】 Using new function transformation method,some explicit exact solitary wave solutions for two kinds of KdV-like equations are obtained.The method in this paper can also be applied to other nonlinear equation.For those nonlinear equations with higher order nonlinear terms the method has its extraordinary advantages.
【关键词】 函数变换法;
KdV类非线性方程;
孤波解;
【Key words】 Function transformation method; KdV-like nonlinear equations; Solitary wave solution;
【Key words】 Function transformation method; KdV-like nonlinear equations; Solitary wave solution;
- 【文献出处】 内蒙古民族大学学报(自然科学版) ,Journal of Inner Mongolia University for Nationalities(Natural Sciences,Quarterly) , 编辑部邮箱 ,2004年03期
- 【分类号】O175
- 【被引频次】2
- 【下载频次】76