RLW-Burgers方程的一类解析解  

A Class of Analytic Solution for RLW-Burgers Equation

作　　者：谈骏渝[1] 

机构地区：[1]重庆大学应用数学系,重庆400044

出　　处：《数学的实践与认识》2001年第5期545-549,共5页Mathematics in Practice and Theory

摘　　要：本文给出了 RLW-Burgers方程及 Kd V-Burgers方程的一类解析解 ,且可得到 RLW-Burgers方程的振荡激波解 .这些解可以表示为 Burgers方程和 Kd V方程解的线性组合 ,文末还对文 [8]作了讨论 .A class of analytic solutions is given for RLW-Burgers equation (E 1) and KdV-Burgers equation (E 2) which include the results of some papers . In particular, the oscillation wave solution can be obtained for the equation E 1. Further, we have the following conclusion: the solutions u for the equations E 1 and E 2 can be expressed by u=U-B+σU-K, where U B is the solution fo the Burgers equation (3 2), U K is the solution of the RLW-equation (3 3) or the KdV-equation (3 4), and σ is a definite constant. Finally, the result of paper is corrected.

关 键 词：RLW-BURGERS方程 KDV-BURGERS方程 行波 解析解 非线性波动 

分 类 号：O175[理学—数学]