标题:
一类变系数组合KdV方程新的精确解析解New Exact Analytic Solutions to a Coupled KdV
Equation with Variable Coefficients
作者:
洪宝剑
关键字:
变系数组合KdV方程, 精确解析解, Riccati方程, 变速孤立波Coupled KdV Equations with Variable Coefficients; Exact Analytic Solutions; Riccati Equa-tions; Solitary Wave Solutions with Variable Speed
期刊名称:
《Pure Mathematics》, Vol.1 No.2, 2011-08-09
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。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.