Abundant new travelling wave solutions for the (2+1)-dimensional Sine-Gordon equation

被引:8
|
作者
Li, Zhu [1 ]
Dong, Huanhe [2 ]
机构
[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China
关键词
D O I
10.1016/j.chaos.2006.09.030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Abundant new travelling wave solutions of the (2 + 1)-dimensional Sine-Gordon equation are obtained by the generalized Jacobi elliptic function method. The solutions obtained include the kink-shaped solutions, bell-shaped solutions, singular solutions and periodic solutions. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:547 / 551
页数:5
相关论文
共 50 条
  • [2] NEW CLASS OF RUNNING-WAVE SOLUTIONS OF THE (2+1)-DIMENSIONAL SINE-GORDON EQUATION
    MARTINOV, NK
    VITANOV, NK
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (13): : 4611 - 4618
  • [3] THE SPECTRUM OF TRAVELLING WAVE SOLUTIONS TO THE SINE-GORDON EQUATION
    Jones, Christopher K. R. T.
    Marangell, Robert
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2012, 5 (05): : 925 - 937
  • [4] Travelling wave solutions of triple Sine-Gordon equation
    Liu, CS
    [J]. CHINESE PHYSICS LETTERS, 2004, 21 (12) : 2369 - 2371
  • [5] New kink-shaped solutions and periodic wave solutions for the (2+1)-dimensional Sine-Gordon equation
    Li, Zitian
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) : 3777 - 3781
  • [6] Analytical soliton solutions of the (2+1)-dimensional sine-Gordon equation
    Shi, Rui
    Song, Zhijie
    Feng, Tao
    Wang, Gangwei
    Wang, Xin
    [J]. NONLINEAR DYNAMICS, 2017, 88 (01) : 255 - 262
  • [7] The (2+1)-dimensional sine-Gordon equation; Integrability and localized solutions
    Radha, R
    Lakshmanan, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (07): : 1551 - 1562
  • [8] New exact travelling wave solutions of the discrete sine-Gordon equation
    Dai, CQ
    Yang, Q
    Zhang, JF
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2004, 59 (10): : 635 - 639
  • [9] A (2+1)-DIMENSIONAL EXTENSION FOR THE SINE-GORDON EQUATION
    LOU, SY
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (17): : L789 - L791
  • [10] New exact solutions for the sine-Gordon equation in 2+1 dimensions
    S. Johnson
    P. Suarez
    A. Biswas
    [J]. Computational Mathematics and Mathematical Physics, 2012, 52 : 98 - 104