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KP方程的Wronski行列式解研究
引用本文:丁茂震,郭慧敏,邵泽军.KP方程的Wronski行列式解研究[J].唐山师范学院学报,2010,32(5):29-32.
作者姓名:丁茂震  郭慧敏  邵泽军
作者单位:北京化工大学北方学院,河北廊坊065201
摘    要:偏微分方程在科学和工程中有广泛的应用,因此探讨它们严格解的求法是非常重要的问题。随着孤立子理论的发展,求解某类非线性偏微分方程的一些理论和方法应运而生。介绍了基于Hirota方法和Wronski技巧,并以KP方程为例说明。

关 键 词:偏微分方程  Hirota方法  Wronski技巧

The Wronski Determinant Solution of KP Equation
DING Mao-zhen,GUO Hui-min,SHAO Ze-jun.The Wronski Determinant Solution of KP Equation[J].Journal of Tangshan Teachers College,2010,32(5):29-32.
Authors:DING Mao-zhen  GUO Hui-min  SHAO Ze-jun
Institution:(North College, Beijing University of Chemical Technology, Langfang 065201, China)
Abstract:It is well--known that partial differential equations have wide applications in Science and Engineering, therefore to find their exact solutions is very important. With the development of soliton theory, several approaches have been proposed to construct exact solutions for nonlinear partial differential equations. In this paper, we will introduce one of them, namely, the Wronski technique. KP equation is taken as an example for demonstration.
Keywords:partial differential equations  Hirota method  the Wronski technique
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