摘要:
在齐次平衡法和分离变量的基础上,通过两个推广的Riccati方程,借助Mathematica软件,求出了一类变系数组合KdV方程的一些精确解析解,包括各种类孤立子解、类周期解和变速孤立波解,部分解为首次发现。
Abstract: Based on the homogeneous balance principle and general variable separation approach, with the aid of two generalized Riccati equations and Mathematica software, we first find some exact analytic solutions to a coupled KdV equation with variable coefficients, including several kinds of soliton-like solutions, periodical-like solutions and solitary wave solutions with variable speed. Some of them are found for the first time.