变系数组合KdV-Burgers方程的对称约化和精确类孤子解  

Symmetry Reductions and Exact Solitons-Like Solutions for the Variable Coefficient Combined KdV-Burgers Equation

作　　者：闫振亚[1] 

机构地区：[1]大连理工大学应用数学系,辽宁大连116024

出　　处：《烟台大学学报（自然科学与工程版）》2000年第4期239-244,共6页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：高校博士点基金!资助项目 (980 14119)

摘　　要：通过引入一个新的变换 ,将变系数组合KdV_Burgers方程约化为非线性常微分方程 .其中包含Jacobi椭圆方程和Painlev啨Ⅱ型方程 ,推得变系数组合KdV_Burgers方程的若干精确孤子解 .WT5BZ]In this paper, by use of a new transformation, the variable coefficient combined KdV_Burgers equation reduces to nonlinear ordinary differential equation (NODE), which contains Jacobi elliptic equation and PainlevéⅡ type equation. And then based on this NODE obtained, several exact solitons_like solutions are given for the variable coefficient KdV_Burgers equation.

关 键 词：对称约化 孤子解 KDV-B方程 变系数组合 

分 类 号：O175.14[理学—数学]