Symmetry Analysis and Similarity Solutions of a Resonant Davey-Stewartson System

被引：0
作者：
Gao Yuan [1 ]
Tang Xiao-Yan [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2009年 / 52卷 / 04期
基金：
中国国家自然科学基金;
关键词：
resonant Davey-Stewartson system; symmetry; similarity solution; NONLINEAR SCHRODINGER-EQUATION; SOLITONS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Lie point symmetry analysis is performed to a recently proposed (2+1)-dimensional nonlinear system, the resonant Davey-Stewartson equation. Some similarity solutions of the RDS equation are thus obtained.
引用
收藏
页码：581 / 587
页数：7
相关论文
共 50 条
  • [31] Low-Regularity Integrator for the Davey-Stewartson II System
    Ning, Cui
    Kou, Xiaomin
    Wang, Yaohong
    JOURNAL OF SCIENTIFIC COMPUTING, 2024, 99 (01)
  • [32] DYNAMICS OF A MODIFIED DAVEY-STEWARTSON SYSTEM IN R3
    Lu, Jing
    COLLOQUIUM MATHEMATICUM, 2016, 145 (01) : 69 - 87
  • [33] On the blow-up phenomenon for a generalized Davey-Stewartson system
    Li, Xiaoguang
    Zhang, Jian
    Lai, Shaoyong
    Wu, Yonghong
    IMA JOURNAL OF APPLIED MATHEMATICS, 2014, 79 (02) : 326 - 346
  • [34] Nonsingular localized wave solutions for the nonlocal Davey-Stewartson I equation with zero background
    Xu, Tao
    Li, Min
    Huang, Yehui
    Chen, Yang
    Yu, Chen
    MODERN PHYSICS LETTERS B, 2017, 31 (35):
  • [35] (2+1) dimensional wave patterns of the Davey-Stewartson system
    Chow, KW
    Mak, CC
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 72 (12) : 3070 - 3074
  • [36] SHARP THRESHOLD FOR SCATTERING OF A GENERALIZED DAVEY-STEWARTSON SYSTEM IN THREE DIMENSION
    Lu, Jing
    Wu, Yifei
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (05) : 1641 - 1670
  • [37] Analytical and numerical solutions to the Davey-Stewartson equation with power-law nonlinearity
    Ebadi, Ghodrat
    Krishnan, E. V.
    Labidi, Manel
    Zerrad, Essaid
    Biswas, Anjan
    WAVES IN RANDOM AND COMPLEX MEDIA, 2011, 21 (04) : 559 - 590
  • [38] Rational and semi-rational solutions to the nonlocal Davey-Stewartson III equation
    Wang, Sheng-Nan
    Yu, Guo-Fu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 130
  • [39] Semi-rational solutions of the third-type Davey-Stewartson equation
    Rao, Jiguang
    Porsezian, Kuppuswamy
    He, Jingsong
    CHAOS, 2017, 27 (08)
  • [40] Novel periodic and optical soliton solutions for Davey-Stewartson system by generalized Jacobi elliptic expansion method
    Gaballah, Mahmoud
    El-Shiekh, Rehab M.
    Akinyemi, Lanre
    Rezazadeh, Hadi
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2024, 24 (08) : 2889 - 2897
12345