Wronskian and Grammian Determinant Solutions for a Variable-Coefficient Kadomtsev-Petviashvili Equation

被引：0
|
作者：
YAO Zhen-Zhi~1 ZHANG Chun-Yi~(2
机构：
来源：
Communications in Theoretical Physics | 2008年 / 49卷 / 05期
基金：
中国国家自然科学基金;
关键词：
variable-coefficient Kadomtsev Petviashvili equation; Wronskian determinant; Grammian determinant; Pfaffian; Jacobi identity;
D O I：
暂无
中图分类号：
O241.6 [线性代数的计算方法];
学科分类号：
070102 ;
摘要：
In this paper,we derive the bilinear form for a variable-coefficient Kadomtsev Petviashvili-typed equation.Based on the bilinear form,we obtain the Wronskian determinant solution,which is proved to be indeed an exact solutionof this equation through the Wronskian technique.In addition,we testify that this equation can be reduced to a Jacobiidentity by considering its solution as a Grammian determinant by means of Pfaffian derivative formulae.
引用
收藏
页码：1125 / 1128
页数：4
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