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.
出处
《现代计算机》
2011年第18期3-5,20,共4页
Modern Computer
关键词
变系数
广义KdV—Burgers方程
函数变换
类孤子解
Variable Coefficient
Generalized KdV-Burgers Equation
Function Transformation
Soliton-Like Solutions
