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.

引用

页码：1125 / 1128

页数：4

共 50 条

[21] Wronskian Form Solutions for a Variable Coefficient Kadomtsev–Petviashvili Equation
吕卓生
任文秀
Communications in Theoretical Physics, 2014, 61 (03) : 339 - 343
[22] Extended Symmetry of Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation
Wang Jia
Li Biao
Ye Wang-Chuan
COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 53 (04) : 698 - 702
[23] Bilinear Backlund Transformation for a Variable-Coefficient Kadomtsev-Petviashvili Equation
Wu Jian-Ping
CHINESE PHYSICS LETTERS, 2011, 28 (06)
[24] Extended Symmetry of Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation
王佳
李彪
叶望川
CommunicationsinTheoreticalPhysics, 2010, 53 (04) : 698 - 702
[25] Soliton, Wronskian and Grammian solutions to the generalised (3+1)-dimensional Kadomtsev-Petviashvili equation
Kai, Yue
PRAMANA-JOURNAL OF PHYSICS, 2019, 93 (03):
[26] Nonautonomous solitons and Wronskian solutions for the (3+1)-dimensional variable-coefficient forced Kadomtsev-Petviashvili equation in the fluid or plasma
Su, Chuan-Qi
Gao, Yi-Tian
Yang, Jin-Wei
Gao, Zhe
APPLIED MATHEMATICS LETTERS, 2016, 61 : 42 - 48
[27] Direct Similarity Reduction and New Exact Solutions for the Variable-Coefficient Kadomtsev-Petviashvili Equation
El-Shiekh, Rehab M.
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2015, 70 (06): : 445 - 450
[28] Transformations and multi-solitonic solutions for a generalized variable-coefficient Kadomtsev-Petviashvili equation
Liang, Yueqian
Wei, Guangmei
Li, Xiaonan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (11) : 3268 - 3277
[29] Interaction solutions of a variable-coefficient Kadomtsev-Petviashvili equation with self-consistent sources
Yuan, Na
Liu, Jian-Guo
Seadawy, Aly R.
Khater, Mostafa M. A.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2022, 23 (05) : 787 - 795
[30] Grammian solutions to a non-isospectral Kadomtsev-Petviashvili equation
Department of Mathematics, Shanghai University, Shanghai 200444, China
Chin. Phys. Lett., 2006, 9 (2349-2351):

← 1 2 3 4 5 →