New exact travelling wave solutions of the discrete sine-Gordon equation

被引：0
|
作者：
Dai, CQ [1 ]
Yang, Q [1 ]
Zhang, JF [1 ]
机构：
[1] Zhejiang Normal Univ, Inst Nonlinear Phys, Jinhua 321004, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2004年 / 59卷 / 10期
关键词：
discrete sine-Gordon equation; exact travelling wave solution; hyperbolic function approach;
D O I：
暂无
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
In this paper, we explore more applications of the hyperbolic function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations (PDES), to special discrete nonlinear equations. Some exact travelling wave solution of the discrete sine-Gordon equation are obtained in terms of hyperbolic function approach.
引用
收藏
页码：635 / 639
页数：5
相关论文
共 50 条
  • [21] Some solutions of discrete sine-Gordon equation
    Xie, Fuding
    Ji, Min
    Zhao, Hong
    CHAOS SOLITONS & FRACTALS, 2007, 33 (05) : 1791 - 1795
  • [22] On kinks and other travelling-wave solutions of a modified sine-Gordon equation
    Fiore, Gaetano
    Guerriero, Gabriele
    Maio, Alfonso
    Mazziotti, Enrico
    MECCANICA, 2015, 50 (08) : 1989 - 2006
  • [23] A family of interesting exact solutions of the sine-Gordon equation
    Huang, DB
    Liu, ZR
    Wang, LL
    CHINESE PHYSICS LETTERS, 2000, 17 (01) : 1 - 3
  • [24] New exact solutions for the sine-Gordon equation in 2+1 dimensions
    S. Johnson
    P. Suarez
    A. Biswas
    Computational Mathematics and Mathematical Physics, 2012, 52 : 98 - 104
  • [25] New exact solutions of the double sine-Gordon equation using symbolic computations
    Bin, He
    Qing, Meng
    Yao, Long
    Rui Weiguo
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (02) : 1334 - 1346
  • [26] Solitary wave solutions of triple sine-Gordon equation
    Yang, JS
    Lou, SY
    CHINESE PHYSICS LETTERS, 2004, 21 (04) : 608 - 611
  • [27] Exact Jacobian Elliptic Function Solutions to sine-Gordon Equation
    FU Zun--Tao
    YAO Zhen--Hua
    LIU Shi--Kuo
    LIU Shi--Da School of Physics & Laboratory for Severe Storm and Flood Disaster
    CommunicationsinTheoreticalPhysics, 2005, 44 (07) : 23 - 30
  • [28] EXACT AND NUMERICAL-SOLUTIONS TO THE PERTURBED SINE-GORDON EQUATION
    LEVRING, OA
    SAMUELSEN, MR
    OLSEN, OH
    PHYSICA D, 1984, 11 (03): : 349 - 358
  • [29] New exact solutions for the sine-Gordon equation in 2+1 dimensions
    Johnson, S.
    Suarez, P.
    Biswas, A.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2012, 52 (01) : 98 - 104
  • [30] Exact solutions and conservation laws for a nonisospectral sine-Gordon equation
    Ning, TK
    Zhang, DJ
    Chen, DY
    Deng, SF
    CHAOS SOLITONS & FRACTALS, 2005, 25 (03) : 611 - 620
12345