A study for obtaining more solitary pattern solutions of fifth-order KdV-like equations

被引:16
|
作者
Inc, M [1 ]
Evans, DJ
机构
[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
[2] Nottingham Trent Univ, Fac Engn & Comp, Nottingham, England
关键词
mfK(m; n; k; p); equation; solitary pattern solution; solitary wave solution;
D O I
10.1080/00207160410001661285
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we will investigate the solitary pattern solutions of the modified form of fifth-order KdV equations by using two direct formulations. Thus, we get new solitary pattern solutions having cusps or infinite slopes. In addition, new solitary wave and singular solitary wave solutions are obtained.
引用
收藏
页码:473 / 482
页数:10
相关论文
共 50 条
  • [1] Compactons and solitary patterns solutions to fifth-order KdV-like equations
    Wazwaz, Abdul-Majid
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 371 (02) : 273 - 279
  • [2] Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation
    Batwa, Sumayah
    Ma, Wen-Xiu
    ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [3] Rough solutions of the fifth-order KdV equations
    Guo, Zihua
    Kwak, Chulkwang
    Kwon, Soonsik
    JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (11) : 2791 - 2829
  • [4] Solitary and compacton solutions of fractional KdV-like equations
    Tang, Bo
    Fan, Yingzhe
    Zhao, Jianping
    Wang, Xuemin
    OPEN PHYSICS, 2016, 14 (01): : 328 - 336
  • [5] Classification of traveling wave solutions for time-fractional fifth-order KdV-like equation
    Inc, Mustafa
    Kilic, Bulent
    WAVES IN RANDOM AND COMPLEX MEDIA, 2014, 24 (04) : 393 - 403
  • [6] On the stability of solitary wave solutions of the fifth-order KdV equation
    Buryak, AV
    Champneys, AR
    PHYSICS LETTERS A, 1997, 233 (1-2) : 58 - 62
  • [7] On the stability of solitary wave solutions of the fifth-order KdV equation
    Buryak, A.V.
    Champneys, A.R.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1997, 233 (1-2): : 58 - 62
  • [8] Solitary patterns solutions having infinite slopes or cusps for fifth-order KdV like equations in higher dimensions
    Wazwaz, AM
    APPLIED MATHEMATICS AND COMPUTATION, 2002, 131 (01) : 181 - 194
  • [9] ON SOLITARY-WAVE SOLUTIONS OF FIFTH-ORDER KDV TYPE OF MODEL EQUATIONS FOR WATER WAVES
    Choi, Jeongwhan
    Sun, Shu-Ming
    Whang, Sungim
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (3-4): : 403 - 433
  • [10] Cnoidal wave solutions for a class of fifth-order KdV equations
    Khater, AH
    Hassan, MM
    Temsah, RS
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 70 (04) : 221 - 226