一类KdV型方程的新解析解
New Analytical Solutions of a Class of KdV-Type Equation
DOI: 10.12677/AAM.2016.54069, PDF, HTML, XML, 下载: 2,142  浏览: 5,643  科研立项经费支持
作者: 孙旖菲, 庞宇：北方工业大学理学院，北京
关键词: 行波约化法；指数函数方法；KdV型方程；Traveling Wave Reduction Method； Exp-Function Method； KDV-Type Equation
摘要: 我们首先利用行波约化法将一类KdV型方程约化为常微分方程，然后运用指数函数法，并借助于数学软件Mathematica，获得了该方程丰富的精确解析解，并绘制解的图像。
Abstract: We first use traveling wave reduction method to transform a class of KdV-type equation to ordinary differential equation, and then apply Exp-Function method as well as symbolic software Mathematica to obtain new accurate analytical solutions of the equation under study. Moreover, we draw the graphs of such solutions.
文章引用：孙旖菲, 庞宇. 一类KdV型方程的新解析解[J]. 应用数学进展, 2016, 5(4): 598-604. http://dx.doi.org/10.12677/AAM.2016.54069

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