The existence of a global attractor for the (2+1)-dimensional long wave-short wave resonance interaction equation

被引:6
|
作者
Lu, Hong [1 ]
Xin, Jie [1 ]
机构
[1] Ludong Univ, Sch Math & Informat, Yantai 264025, Shandong Prov, Peoples R China
基金
中国博士后科学基金;
关键词
Long wave-short wave resonance interaction equation; Global attractor; Decomposition of the solution semigroup;
D O I
10.1016/j.na.2010.08.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove the existence of a global attractor and an asymptotic smoothing effect of the solution for the (2 + 1)-dimensional long wave-short wave resonance interaction equation. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3767 / 3778
页数:12
相关论文
共 50 条
  • [31] Orbital stability of solitary waves of the long wave-short wave resonance equations
    Guo, BL
    Chen, L
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1998, 21 (10) : 883 - 894
  • [32] Invariance Analysis of the (2+1) Dimensional Long Dispersive Wave Equation
    Senthil Velan M.
    Lakshmanan M.
    Journal of Nonlinear Mathematical Physics, 1997, 4 (3-4) : 251 - 260
  • [33] Complexiton solutions of the (2+1)-dimensional dispersive long wave equation
    Chen Yong
    Fan En-Gui
    CHINESE PHYSICS, 2007, 16 (01): : 6 - 15
  • [34] WKB analysis for the three coupled long wave-short wave interaction equations
    Muslu, Gulcin M.
    Lin, Chi-Kun
    APPLICABLE ANALYSIS, 2020, 99 (09) : 1507 - 1527
  • [35] Interaction Between Kink Solitary Wave and Rogue Wave for (2+1)-Dimensional Burgers Equation
    Chuanjian Wang
    Zhengde Dai
    Changfu Liu
    Mediterranean Journal of Mathematics, 2016, 13 : 1087 - 1098
  • [36] Interaction Between Kink Solitary Wave and Rogue Wave for (2+1)-Dimensional Burgers Equation
    Wang, Chuanjian
    Dai, Zhengde
    Liu, Changfu
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 1087 - 1098
  • [37] An Effective Method For The Existence Of The Global Attractor Of A Nonlinear Wave Equation
    Sengul, Mustafa Taylan
    APPLIED MATHEMATICS E-NOTES, 2007, 7 : 179 - 185
  • [38] Bifurcation of travelling wave solutions for a (2+1)-dimensional nonlinear dispersive long wave equation
    Zhou, Yuqian
    Liu, Qian
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) : 970 - 979
  • [39] Interaction solutions of a (2+1)-dimensional dispersive long wave system
    Wang, Hui
    Wang, Yun-Hu
    Dong, Huan-He
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (08) : 2625 - 2628
  • [40] Mixed solitons in a (2+1)-dimensional multicomponent long-wave-short-wave system
    Kanna, T.
    Vijayajayanthi, M.
    Lakshmanan, M.
    PHYSICAL REVIEW E, 2014, 90 (04):