Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method

被引:81
|
作者
Yusufoglu, E. [1 ]
Bekir, A. [1 ]
Alp, M. [1 ]
机构
[1] Dumlupinar Univ, Fac Art Sci, Dept Math, Kutahya, Turkey
关键词
D O I
10.1016/j.chaos.2006.10.012
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we establish exact solutions for nonlinear evolution equations. The sine-cosine method is used to construct periodic and solitary wave solutions of the Kawahara and modified Kawahara equations. These solutions may be important of significance for the explanation of some practical physical problems. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1193 / 1197
页数:5
相关论文
共 50 条
  • [31] Novel analytical cnoidal and solitary wave solutions of the Extended Kawahara equation
    El-Tantawy, S. A.
    Salas, Alvaro H.
    Alharthi, M. R.
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 147
  • [32] The Sine-Cosine Method For The Davey-Stewartson Equations
    Zedan, Hassan A.
    Monaquel, Shatha Jameel
    [J]. APPLIED MATHEMATICS E-NOTES, 2010, 10 : 103 - 111
  • [33] Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves
    Sprenger, Patrick
    Bridges, Thomas J.
    Shearer, Michael
    [J]. JOURNAL OF NONLINEAR SCIENCE, 2023, 33 (05)
  • [34] Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves
    Patrick Sprenger
    Thomas J. Bridges
    Michael Shearer
    [J]. Journal of Nonlinear Science, 2023, 33
  • [35] Analytic solutions of the (2+1)-dimensional nonlinear evolution equations using the sine-cosine method
    Tascan, Filiz
    Bekir, Ahmet
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (08) : 3134 - 3139
  • [36] All Traveling Wave Exact Solutions of the Kawahara Equation Using the Complex Method
    Ye, Feng
    Tian, Jian
    Zhang, Xiaoting
    Jiang, Chunling
    Ouyang, Tong
    Gu, Yongyi
    [J]. AXIOMS, 2022, 11 (07)
  • [37] Solitons and periodic solutions for the Rosenau-KdV and Rosenau-Kawahara equations
    Zuo, Jin-Ming
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 835 - 840
  • [38] The sine-cosine method for obtaining solutions with compact and noncompact structures
    Wazwaz, AM
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 159 (02) : 559 - 576
  • [39] The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations
    Yusufoglu, E.
    Bekir, A.
    [J]. CHAOS SOLITONS & FRACTALS, 2008, 38 (04) : 1126 - 1133
  • [40] Exact solitary wave solutions by extended rational sine-cosine and extended rational sinh-cosh techniques
    Mahak, Nadia
    Akram, Ghazala
    [J]. PHYSICA SCRIPTA, 2019, 94 (11)