广义KdV-mKdV组合方程的精确解

Exact Solutions of Generalized KdV-mKdV Composite Equations

利用齐次平衡法对广义KdV-mKdV组合方程进行求解,得到了该方程的精确解析解,对参数g分别取1、2、1/2等不同的值,可以得到mKdV等非线性发展方程的精确解.

Using the homogeneous balance method, the generalized KdV-mKdV composite equations are solved and the accurate analytical solutions of the equations are given; and then, accurate solutions of some nonlinear evolution equations like mKdV equations can be obtained when the parameter respectively takes the different values 1, 2, and 1/2.