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Ablowitz, M.J. and Clarkson, P.A. (1991) Solitons, Nonlinear Evolution Equations and Inverse Scattering. Cambridge University Press, New York.
http://dx.doi.org/10.1017/CBO9780511623998

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• 标题: 应用F-展开法寻找KdV型方程精确解Application of F-Expansion Method to Obtain Exact Solutions of KdV-Type Equation

  作者: 王宁, 李国放, 刘奕阳, 邱碧卿

  关键字: F-展开法, KdV型方程, 精确解F-Expansion, KdV-Type Equation, Exact Solutions

  期刊名称: 《Advances in Applied Mathematics》, Vol.5 No.3, 2016-08-25

  摘要: F-展开法是非线性发展方程精确解构造的一种行之有效的方法。本文利用F-展开法研究一类KdV型方程，获得了该方程新的精确解，并描绘出精确解对应的图像。 F-expansion method is an effective method to construct exact solutions of nonlinear evolution eq-uations. This paper applies F-expansion to study a class of KdV-type equation, and obtain affluent exact solutions of the equation. Moreover, the graphs of such solutions are depicted.