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KK方程和改进的Boussinesq方程的新精确解
引用本文:张平.KK方程和改进的Boussinesq方程的新精确解[J].数学的实践与认识,2009,39(7).
作者姓名:张平
作者单位:五邑大学教理系,广东,江门,529020
摘    要:应用改进的Fan's代数方法,得到了KK方程和改进的Boussinesq方程的一系列新精确解,包括孤立波解、类孤立波解、纽结波解、奇异纽结波解和三角函数周期解.

关 键 词:改进的Fan's代数方法  精确解  KK方程  改进的Boussinesq方程

New Exact Solutions of KK Equation and Modified Improved Boussinesq Equation
ZHANG Ping.New Exact Solutions of KK Equation and Modified Improved Boussinesq Equation[J].Mathematics in Practice and Theory,2009,39(7).
Authors:ZHANG Ping
Abstract:By using extended Fan's Algebraic method,a series of new exact wave solutions for KK equation and modified improved Boussinesq equation are obtained.These solutions contain solitary wave solutions,wave-like solitary solutions,kink wave solutions,singular kink wave solutions,and triangular function periodic solutions and so on.
Keywords:extended Fan's Algebraic method  exact solution  KK equation  modified improved Boussinesq equation
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