KdV-Burgers方程和KdV-Burgers-Kuramoto方程的精确解  

Exact solutions to the KdV-Burgers equation and KdV-Burgers-Kuramoto equation

作　　者：谢元喜[1] 朱曙华[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：《安徽大学学报（自然科学版）》2007年第6期44-47,共4页Journal of Anhui University(Natural Science Edition)

基　　金：湖南理工学院科研基金资助项目(2007Y047)

摘　　要：基于对KdV-Burgers方程和KdV-Burgers-Kuramoto方程特点的分析,提出了一种由Burgers方程的解和KdV方程的解通过线性叠加构造KdV-Burgers方程的解以及由KdV方程的解和Kuramoto-Sivashinsky方程的解通过线性叠加构造KdV-Burgers-Kuramoto方程的解的方法,并用该法求得了KdV-Burgers方程和KdV-Burgers-Kuramoto方程的若干精确解.In this paper, based on the analysis of the characteristics of the KdV - Burgers equation and KdV- Burgers -Kuramoto equation, a method is presented to construct the exact solutions for the KdV - Burgers equation and KdV - Burgers - Kuramoto equation from those of the Burgers equation together with KdV equation and KdV equation together with Kuramoto - Sivashinsky equation by linear superposition. Finally, many exact solutions of the KdV - Burgers equation and KdV - Burgers - Kuramoto equation is derived by means of this approach.

关 键 词：线性叠加 KDV-BURGERS方程 KdV-Burgers-Kuramoto方程 精确解 

分 类 号：O175.29[理学—数学] O411.1[理学—基础数学]