Kd V-Burgers 方程行波解的研究  

Study on the Travelling Wave Solutions of the KdV Burgers Equation

作　　者：张晓强[1] 谈骏渝[1] 

机构地区：[1]重庆工业管理学院基础系,重庆大学理学院

出　　处：《重庆大学学报（自然科学版）》1998年第6期47-53,共7页Journal of Chongqing University

摘　　要：用ＬａｘＮｉｏｕｖｅｒ变换求得了ＫｄＶＢｕｒｇｅｒｓ方程在特定情形下的精确行波解、渐近行波解，用Ａｄｏｍｉａｎ积分法求得了级数解。此外，找到了ＫｄＶＢｕｒｇｅｒｓ方程行波解与ＲＬＷＢｕｒｇｅｒｓ方程行波解之间的关系。With the aid of the Lax Niouver transformation,the exact travelling wave solutions and the asymptotic travelling wave solutions of the KdV Burgers Equation are obtained.Furthermore,the series solutions are constructed with the Adomian integration.The relations of the travelling wave solutions between the KdV Burgers equation and the RLW Burgers equation are found.Moreover,a class of known exact solutions of the KdV Burgers equation are analysed.

关 键 词：行波解 Adomian积分法 级数解 KDV-B方程 

分 类 号：O175.29[理学—数学]