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标题: 一类KdV型方程的新解析解New Analytical Solutions of a Class of KdV-Type Equation
作者: 孙旖菲, 庞宇
关键字: 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
期刊名称: 《Advances in Applied Mathematics》, Vol.5 No.4, 2016-11-11
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。 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.