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
DOI: 10.12677/AAM.2013.21006, PDF, HTML,  被引量 下载: 3,346  浏览: 11,058  科研立项经费支持
作者: 张佳梅, 马 超, 叶彩儿：浙江农林大学理学院，临安
关键词: 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
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。

Abstract: 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.

文章引用：张佳梅, 马超, 叶彩儿. 一个广义变系数KdV方程新的精确解[J]. 应用数学进展, 2013, 2(1): 42-47. http://dx.doi.org/10.12677/AAM.2013.21006

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