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(2+1)维KP方程的三类精确解
引用本文:夏鸿鸣.(2+1)维KP方程的三类精确解[J].纯粹数学与应用数学,2013(6):577-581.
作者姓名:夏鸿鸣
作者单位:天水师范学院数学与统计学院,甘肃天水741001
摘    要:研究了(2+1)维KP方程的孤子解问题.应用Riccati方程映射法,得到了(2+1)维KP方程的新的显式精确解的结构.根据得到的精确解结构,构造出了该方程的三类精确解.

关 键 词:Riccati方程映射法  KP方程  精确解

Three types exact solution of (2+1)-dimensional KP equation
Xia Hongming.Three types exact solution of (2+1)-dimensional KP equation[J].Pure and Applied Mathematics,2013(6):577-581.
Authors:Xia Hongming
Institution:Xia Hongming (College of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China)
Abstract:In this paper, the soliton solution of (2+1)-dimensional KP equation is investigated, where a new structure of the explicit exact solutions for this equation is obtained by applying Riccati equation mapping method and variable separation method. As a result, three types soliton solutions of the equation are established.
Keywords:Riccati equation mapping method  KP equation  exact solutions
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