The Davey-Stewartson equation with sources derived from nonlinear variable separation method

被引:5
|
作者
Shen, Shoufeng [1 ,2 ]
Jiang, Liya [2 ]
机构
[1] NW Univ Xian, Ctr Nonlinear Studies, Xian 710069, Peoples R China
[2] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Davey-Stewartson equation; Variable separation; Nonlinear evolution equation; KADOMTSEV-PETVIASHVILI EQUATION; KORTEWEG-DEVRIES EQUATION; COHERENT STRUCTURES; HIERARCHIES; INTEGRATION;
D O I
10.1016/j.cam.2009.07.020
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, by taking the Davey-Stewartson equation as an example, a new construction procedure based on nonlinear variable separation method is presented to obtain nonlinear evolution equations with sources for the first time. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:585 / 589
页数:5
相关论文
共 50 条
  • [21] Lattice soliton: Solution to the Davey-Stewartson equation
    Takashima, R
    Tajiri, M
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1999, 68 (07) : 2246 - 2251
  • [22] The Davey-Stewartson Equation on the Half-Plane
    Fokas, A. S.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 289 (03) : 957 - 993
  • [23] A new dromion solution of the Davey-Stewartson equation
    Lu, J
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1996, 18 (06): : 765 - 770
  • [24] The Davey-Stewartson Equation on the Half-Plane
    A. S. Fokas
    Communications in Mathematical Physics, 2009, 289 : 957 - 993
  • [25] ON THE BOUNDARY-CONDITIONS OF THE DAVEY-STEWARTSON EQUATION
    ABLOWITZ, MJ
    MANAKOV, SV
    SCHULTZ, CL
    PHYSICS LETTERS A, 1990, 148 (1-2) : 50 - 52
  • [26] THE DAVEY-STEWARTSON EQUATION AND CONSTRAINED LINEAR FLOWS
    GUIL, F
    MANAS, M
    PHYSICA D, 1995, 87 (1-4): : 99 - 104
  • [27] INFINITELY MANY SYMMETRIES OF THE DAVEY-STEWARTSON EQUATION
    LOU, SY
    HU, XB
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (07): : L207 - L212
  • [28] Soliton solutions of Davey-Stewartson equation by trial equation method and ansatz approach
    Mirzazadeh, M.
    NONLINEAR DYNAMICS, 2015, 82 (04) : 1775 - 1780
  • [29] Soliton stability to the Davey-Stewartson: I. Equation by the Hirota method
    Tajiri, M
    Takeuchi, K
    Arai, T
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2001, 70 (06) : 1505 - 1511
  • [30] The first integral method and traveling wave solutions to Davey-Stewartson equation
    Jafari, Hossein
    Sooraki, Atefe
    Talebi, Yahya
    Biswas, Anjan
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2012, 17 (02): : 182 - 193