用叠加法求Burgers-KdV方程的精确解析解  

The Exact Analytical Solutions to the Burgers-KdV Equation by the Superposition Approach

作　　者：刘辉[1] 谢元喜[2] 

机构地区：[1]湖南人文科技学院物理与信息工程系,湖南娄底417000 [2]湖南大学工程力学系,湖南长沙410082

出　　处：《四川师范大学学报（自然科学版）》2005年第2期185-187,共3页Journal of Sichuan Normal University（Natural Science）

摘　　要：基于对Burgers方程、KdV方程和Burgers KdV方程特点的分析,提出了一种由Burgers方程的解和KdV方程的解构造Burgers KdV方程的解的叠加法,并用该法求得了Burgers KdV方程的解,所得结果与已有结果完全吻合.In this paper, based on the careful analysis of the features of the Burgers equation and the KdV equation as well as the Burgers-KdV equation, the superposition approach which is commonly believed to simplify work for linear partial differential equations is proposed to construct the solutions to the Burgers-KdV equation. Moreover, the exact analytical solutions to the Burgers-KdV equation are successfully derived by means of this method. The results obtained herein are in very good agreement with those given in the existing literature.

关 键 词：BURGERS-KDV方程 叠加法 精确解析解 

分 类 号：O411.1[理学—理论物理]