节点文献
求非线性波方程sech~2型孤波解的一种简洁方法(英文)
A Concise Approach for Constructing the Sech~2-type Solitary Wave Solutions of Nonlinear Wave Equations
【摘要】 通过巧妙地引入一个变换,并选取合适的试探函数,提出了一种求非线性波方程sech2型孤波解的简洁方法,并用该法求得了三个物理上非常重要的非线性波方程的sech2型孤波解.该法也可求解别的非线性波方程.
【Abstract】 By introducing a transformation and selecting the appropriate trial functions,a concise method ispresented to construct the sech2-type solitary wave solutions of nonlinear wave equations.The effectiveness of thismethod by applications to three equations with physical interest as particular examples was got.The technique usedherein can also be applied to seek the sech2-type solitary wave solutions to other nonlinear wave equations.
【关键词】 非线性波方程;
试探函数;
sech2型孤波解;
【Key words】 nonlinear wave equation; trial function; sech2-type solitary wave solution;
【Key words】 nonlinear wave equation; trial function; sech2-type solitary wave solution;
- 【文献出处】 山西大学学报(自然科学版) ,Journal of Shanxi University(Natural Science Edition) , 编辑部邮箱 ,2006年03期
- 【分类号】O175.29
- 【下载频次】72