Travelling Wave Solutions of The Gilson-Pickering Equation

被引:0
|
作者
Tang, Jiade [1 ]
Chen, Aiyong [1 ]
机构
[1] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China
关键词
solitary patterns solutions; compactons; sine-cosine method; tanh method; numerical simulation; TANH METHOD;
D O I
暂无
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, the Gilson-Pickering equation is studied by using the sine-cosine method and the tanh method. Some exact travelling wave solutions of the Gilson-Pickering equation are obtained. Moreover, we make numerical simulation for the new solitary patterns solutions and compactons solutions.
引用
收藏
页码:693 / 698
页数:6
相关论文
共 50 条
  • [41] Explicit travelling wave solutions to a nonlinear equation
    Zheng, Yun
    Zhang, Hongqing
    He Jishu/Nuclear Techniques, 2000, 23 (02): : 389 - 391
  • [42] Travelling Wave Solutions for Generalized Fisher Equation
    Wang Shubin (Zhengzhou University of Technology
    数学季刊, 1998, (03) : 102 - 110
  • [43] EXACT TRAVELLING WAVE SOLUTIONS OF A BEAM EQUATION
    Camacho, J. C.
    Bruzon, M. S.
    Ramirez, J.
    Gandarias, M. L.
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2011, 18 : 33 - 49
  • [44] Travelling wave solutions of generalized PC equation
    Liu, Zheng-Rong
    Song, Ming
    PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2007, : 1530 - 1533
  • [45] Exact Travelling wave Solutions of a Beam Equation
    J. C. Camacho
    M. S. Bruzón
    J. Ramírez
    M. L. Gandarias
    Journal of Nonlinear Mathematical Physics, 2011, 18 : 33 - 49
  • [46] EXACT TRAVELLING WAVE SOLUTIONS TO BBM EQUATION
    Zhu Li Jingen Yang College of Math and Information Science Xinyang Normal University Xinyang Henan Jirong Shan Education Bureau of Sishui Sishui Shandong
    Annals of Differential Equations, 2009, 25 (04) : 414 - 419
  • [47] A not-a-knot meshless method with radial basis functions for numerical solutions of Gilson–Pickering equation
    F. Zabihi
    M. Saffarian
    Engineering with Computers, 2018, 34 : 37 - 44
  • [48] The smooth and nonsmooth travelling wave solutions in a nonlinear wave equation
    Li, SM
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (11) : 1333 - 1343
  • [49] TRAVELLING WAVE SOLUTIONS FOR A SURFACE WAVE EQUATION IN FLUID MECHANICS
    Tian, Yi
    Yan, Zai-Zai
    THERMAL SCIENCE, 2016, 20 (03): : 893 - 898
  • [50] Travelling Wave Solutions of the General Regularized Long Wave Equation
    Hang Zheng
    Yonghui Xia
    Yuzhen Bai
    Luoyi Wu
    Qualitative Theory of Dynamical Systems, 2021, 20