用组合法求解Burgers-KdV方程(英文)  

Solving the Burgers-KdV equation by a combination method

作　　者：谢元喜[1] 

机构地区：[1]湖南理工学院物理与电子信息系,湖南岳阳414000

出　　处：《西北师范大学学报（自然科学版）》2009年第1期40-43,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10672053)

摘　　要：通过分析Burgers方程、KdV方程和Burgers-KdV方程的特点,提出了一种由Burgers方程的解和KdV方程的解构造Burgers-KdV方程解的组合法,并由此求得了Burgers-KdV方程的若干显式精确解.In view of the analysis on the characteristics of the Burgers equation, KdV equation and Burgers -KdV equation, a combination method is presented to construct the solutions of the Burgers-KdV equation by combining with those of the Burgers equation and KdV equation. As a result, many explicit and exact solutions of the Burgers-KdV equation are successfully derived by this technique.

关 键 词：组合法 BURGERS-KDV方程 显式精确解 

分 类 号：O415[理学—理论物理]