On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources

被引：1

作者：

Sun, Ye-Peng ^{[1
]}

Tam, Hon-Wah ^{[2
]}

机构：

[1] Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China

[2] Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Source generation procedure; Non-isospectral KP equation; Grammian determinant solution; Pfaffianization; Self-consistent sources; N-SOLITON SOLUTIONS; KDV EQUATION; DARBOUX TRANSFORMATIONS; VRIES EQUATION; KP EQUATION; HIERARCHY; PFAFFIANIZATION; INTEGRATION; KORTEWEG;

D O I：

10.1016/j.na.2008.02.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1610 / 1619

页数：10

共 50 条

[21] Generalized Darboux Transformation for the Discrete Kadomtsev–Petviashvili Equation with Self-Consistent Sources
Runliang Lin
Yukun Du
Theoretical and Mathematical Physics, 2018, 196 : 1320 - 1332
[22] INTEGRABLE NON-ISOSPECTRAL FLOWS ASSOCIATED WITH THE KADOMTSEV-PETVIASHVILI EQUATIONS IN 2+1 DIMENSIONS
YI, C
LI, YS
BULLOUGH, RK
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (08): : L443 - L449
[23] The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system
Sun, Ye-Peng
Tam, Hon-Wah
Zhu, Bo
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (08) : 3024 - 3032
[24] A non-isospectral integrable couplings of Volterra lattice hierarchy with self-consistent sources
Yu, Fajun
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) : 1217 - 1223
[25] Non-isospectral integrable couplings of Ablowitz-Ladik hierarchy with self-consistent sources
Yu, Fajun
PHYSICS LETTERS A, 2008, 372 (46) : 6909 - 6915
[26] The Kadomtsev-Petviashvili equation
Adomian, G
APPLIED MATHEMATICS AND COMPUTATION, 1996, 76 (01) : 95 - 97
[27] Rational, semi-rational solution and self-consistent sources extension of the variable-coefficient extended modified Kadomtsev-Petviashvili equation
Hai, Rihan
Gegen, Hasi
PHYSICA SCRIPTA, 2022, 97 (09)
[28] New type of a generalized variable-coefficient Kadomtsev-Petviashvili equation with self-consistent sources and its Grammian-type solutions
Zhang, Yi
Xu, Yue
Ma, Kun
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 37 : 77 - 89
[29] Solving Non-Isospectral mKdV Equation and Sine-Gordon Equation Hierarchies with Self-Consistent Sources via Inverse Scattering Transform
李琪
张大军
陈登远
Communications in Theoretical Physics, 2010, 54 (08) : 219 - 228
[30] Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation
Jian-Guo Liu
Mostafa Eslami
Hadi Rezazadeh
Mohammad Mirzazadeh
Nonlinear Dynamics, 2019, 95 : 1027 - 1033

← 1 2 3 4 5 →