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
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.
文章引用：洪宝剑. 一类变系数组合KdV方程新的精确解析解[J]. 理论数学, 2011, 1(2): 163-166. http://dx.doi.org/10.12677/pm.2011.12032

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