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C. Tian. Symmetries and a hierarchy of the general KdV equation. Journal of Physics A: Mathematical and General, 1987, 20(2): 359-366.

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• 标题: 一个广义变系数KdV方程新的精确解 New Exact Solutions of a Generalized KdV Equation with Variable Coefficients

  作者: 张佳梅, 马超, 叶彩儿

  关键字: 广义变系数KdV方程, 指数函数方法, 精确解 Generalized KdV Equation with Variable Coefficients; Exp-Function Method; Exact Solutions

  期刊名称: 《Advances in Applied Mathematics》, Vol.2 No.1, 2013-02-26

  摘要: 本文我们利用指数函数方法求解一个广义变系数KdV方程，结果我们求出了许多类型的解，这些解包括孤立波解，爆破解和周期波解。In this paper, we use the exp-function method to solve a generalized KdV equation with variable coefficients. As a result, several types of solutions are obtained which contain solitary wave solutions, blow-up solutions and periodic solutions.