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Kadomtesv-Petviashvili方程的周期孤立波解
引用本文:傅海明,戴正德.Kadomtesv-Petviashvili方程的周期孤立波解[J].平顶山学院学报,2015(2):1-4.
作者姓名:傅海明  戴正德
作者单位:广州华夏职业学院基础部;云南大学数学与统计学院
基金项目:国家自然科学基金(10661002)
摘    要:扩展了Hirota法,构造出Kadomtesv-Petviashvili方程的新的孤波解,即将Hirota法中的测试函数用新的测试函数来替代,得到了Kadomtesv-Petviashvili方程的周期孤立波解.显然扩展的Hirota方法也可以求解其他类型的非线性发展方程.

关 键 词:Kadomtesv-Petviashvili方程  Hirota方法  周期波解

Periodic Wave Solutions to Kadomtesv-Petviashvili Equation
FU Haiming;DAI Zhengde.Periodic Wave Solutions to Kadomtesv-Petviashvili Equation[J].Journal of Pingdingshan University,2015(2):1-4.
Authors:FU Haiming;DAI Zhengde
Institution:FU Haiming;DAI Zhengde;Department of Basic Courses,Guangzhou Huaxia Technical College;School of Mathematics and Statistics,Yunnan University;
Abstract:Hirota method proposed recently is extended to construct more exact solutions to nonlinear evolution equations. To be more precise,new text function is used instead of text function in Hirota method to obtain.K-P equation periodic soliton wave solutions. Obviously,the extended Hirota method can be applied to solve other types of nonlinear evolution equations as well.
Keywords:Kadomtesv-Petviashvili equation  Hirota method  periodic wave solutions
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