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 ,3 ,4 ]
Zhu Hong-Wu [1 ]
Meng Xiang-Hua [1 ]
Lue Xing [1 ]
Shan Wen-Rui [1 ]
Tian Bo [1 ,5 ,6 ]
机构：
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, Minist Educ, Key Lab Fluid Mech, Beijing 100083, Peoples R China
[3] Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100083, Peoples R China
[4] Meteorol Ctr Air Force Command Post, Changchun 130051, Peoples R China
[5] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100083, Peoples R China
[6] Beijing Univ Posts & Telecommun, Key Lab Opt Commun & Lightwave Technol, Minist Educ, Beijing 100876, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2008年 / 49卷 / 05期
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：
O4 [物理学];
学科分类号：
0702 ;
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 solution of this equation through the Wronskian technique. In addition, we testify that this equation can be reduced to a Jacobi identity by considering its solution as a Grammian determinant by means of Pfaffian derivative formulae.
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页码：1125 / 1128
页数：4
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