Adomian积分法下Kdv-Burgers方程的行波级数解  

Travelling Wave Series Solutions of the Kdv-Burgers Equation with Adomian Integration

作　　者：张晓强[1] 

机构地区：[1]重庆工业管理学院基础系

出　　处：《重庆工业管理学院学报》1998年第1期79-86,共8页

摘　　要：用Ａｄｏｍｉａｎ积分法求得了Ｋｄｖ－Ｂｕｒｇｅｒｓ方程的行波级数解，成功地提出了ξ＝０处级数解的对接方程，同时对所求的级数解进行了数值分析，并通过Ｋｄｖ－Ｂｕｒｇｅｒｓ方程行波解与ＲＬＷ－Ｂｕｒｇｅｒｓ方程行波解之间的关系。By means of the Adomian integration the travelling wave series solutions of the Kdv-Burgers equation are obtained while the connective equations are successfully brought at the ξ=0.At the same time the numerical analysis of the series solutions are given.With the aid of relations of the travelling solutions between the Kdv-Burgers equation and the RLW-Burgers equation,the conclusions of definite property and the travelling wave series solutions of the RLW-Burgers equation are acquired.

关 键 词：Adomian积分法 行波级数解 KDV-B方程 行波解 

分 类 号：O175.26[理学—数学]