变系数广义KdV-Burgers方程的精确类孤子解  

Exact Soliton Like Solutions of the Variable Coefficient Generalized KdV-Burgers Equation

作　　者：包永梅[1] 高娃[1] 

机构地区：[1]内蒙古财经学院统计与数学学院,呼和浩特010051

出　　处：《现代计算机》2011年第18期3-5,20,共4页Modern Computer

摘　　要：利用一种函数变换将变系数广义KdV-Burgers方程约化为非线性常微分方程(NLODE),并由此NLODE出发获得变系数广义KdV-Burgers方程的若干精确类孤子解。由此可见,用这种方法还可以求解一大类变系数非线性演化方程。By using a transformation, the variable coefficient generalized KdV-Burgers equation is reduced to nonlinear ordinary differential equation （NLODE）. Several exact soliton-like solutions for the variable coefficient generalized KdV-Burgers equation are obtained through use of the corresponding reduced NLODE. Form this example we can see that this method can be applied to solve a large number of nonlinear evolution equations.

关 键 词：变系数 广义KdV—Burgers方程 函数变换 类孤子解 

分 类 号：O175.29[理学—数学]