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刘式适, 刘式达, 傅遵涛, 等. Jacobi椭圆函数展开法及其在求解非线性波动方程中的应用[J]. 物理学报, 2001, 50(11): 2068-2073.

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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.