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
  • [11] A note on "New kink-shaped solutions and periodic wave solutions for the (2+1)-dimensional Sine-Gordon equation"
    Kudryashov, Nikolay A.
    Ryabov, Pavel N.
    Sinelshchikov, Dmitry I.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (08) : 2479 - 2481
  • [12] New exact solutions for the sine-Gordon equation in 2+1 dimensions
    Johnson, S.
    Suarez, P.
    Biswas, A.
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2012, 52 (01) : 98 - 104
  • [13] Bifurcations of travelling wave solutions for a general Sine-Gordon equation
    Meng, Q
    He, B
    Long, Y
    Rui, WG
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 29 (02) : 483 - 489
  • [14] Hybrid solutions of three functions to the (2+1)-dimensional sine-Gordon equation
    Gao Mei-Ru
    Chen Huai-Tang
    [J]. ACTA PHYSICA SINICA, 2012, 61 (22)
  • [15] Digging into the Elusive Localised Solutions of (2+1) Dimensional sine-Gordon Equation
    Radha, R.
    Kumar, C. Senthil
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2018, 73 (05): : 415 - 423
  • [16] SPECIAL SOLUTIONS OF SINE-GORDON EQUATION IN 2+1 DIMENSIONS
    GRELLA, G
    MARINARO, M
    [J]. LETTERE AL NUOVO CIMENTO, 1978, 23 (12): : 459 - 464
  • [17] Dromion interactions of a (2+1)-dimensional sine-Gordon equation
    Ruan, HY
    Chen, YX
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1999, 54 (05): : 291 - 298
  • [18] Abundant Interaction Solutions of Sine-Gordon Equation
    Lu, DaZhao
    Cui, YanYing
    Liu, ChangHe
    Wu, ShangWen
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [19] Embedded solitons in the (2+1)-dimensional sine-Gordon equation
    Zhong, WenYe
    Zhong, Wei-Ping
    Belic, Milivoj R.
    Cai, Guofa
    [J]. NONLINEAR DYNAMICS, 2020, 100 (02) : 1519 - 1526
  • [20] Travelling wave solutions for sine-Gordon prototypes
    Zheng, YG
    Liu, ZR
    Liu, YR
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2001, 2 (01) : 73 - 77