Further investigations to extract abundant new exact traveling wave solutions of some NLEEs

被引:20
作者
Miah, M. Mamun [1 ]
Seadawy, Aly R. [2 ,3 ]
Ali, H. M. Shahadat [4 ]
Akbar, M. Ali [5 ]
机构
[1] Khulna Univ Engn & Technol, Dept Math, Khulna, Bangladesh
[2] Taibah Univ, Math Dept, Al Madinah Al Munawarah, Saudi Arabia
[3] Beni Suef Univ, Dept Math, Bani Suwayf, Egypt
[4] Noakhali Sci & Technol Univ, Dept Appl Math, Sonapur, Bangladesh
[5] Univ Rajshahi, Dept Appl Math, Rajshahi 6205, Bangladesh
关键词
Exact traveling wave solutions; (G'/G; 1/G)-expansion method; (3+1)-dimensional Jimbo-Miwa equation; (3+1)-dimensional; NONLINEAR SCHRODINGER-EQUATION; EXP-FUNCTION METHOD; SOLITON-SOLUTIONS; EXPANSION METHOD; F-EXPANSION; BRIGHT;
D O I
10.1016/j.joes.2019.06.004
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
In this study, we implement the generalized (G'/G)-expansion method established by Wang et al. to examine wave solutions to some nonlinear evolution equations. The method, known as the double (G'/G, 1/G)-expansion method is used to establish abundant new and further general exact wave solutions to the (3 + 1)-dimensional Jimbo-Miwa equation, the (3 + 1)-dimensional Kadomtsev-Petviashvili equation and symmetric regularized long wave equation. The solutions are extracted in terms of hyperbolic function, trigonometric function and rational function. The solitary wave solutions are constructed from the obtained traveling wave solutions if the parameters received some definite values. Graphs of the solutions are also depicted to describe the phenomena apparently and the shapes of the obtained solutions are singular periodic, anti-kink, singular soliton, singular anti-bell shape, compaction etc. This method is straightforward, compact and reliable and gives huge new closed form traveling wave solutions of nonlinear evolution equations in ocean engineering. (C) 2019 Shanghai Jiaotong University. Published by Elsevier B.V.
引用
收藏
页码:387 / 394
页数:8
相关论文
共 47 条
  • [1] Further improved F-expansion and new exact solutions for nonlinear evolution equations
    Abdou, M. A.
    [J]. NONLINEAR DYNAMICS, 2008, 52 (03) : 277 - 288
  • [2] A Generalized and Improved (G′/G)-Expansion Method for Nonlinear Evolution Equations
    Akbar, M. Ali
    Ali, Norhashidah Hj. Mohd.
    Zayed, E. M. E.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [3] Abundant Exact Traveling Wave Solutions of Generalized Bretherton Equation via Improved (G′/G)-Expansion Method
    Akbar, M. Ali
    Ali, Norhashidah Hj. Mohd.
    Zayed, E. M. E.
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (02) : 173 - 178
  • [4] A novel (G′/G)-expansion method and its application to the Boussinesq equation
    Alam, Md. Nur
    Akbar, Md. Ali
    Mohyud-Din, Syed Tauseef
    [J]. CHINESE PHYSICS B, 2014, 23 (02)
  • [5] Soliton solutions of the nonlinear Schrodinger equation with the dual power law nonlinearity and resonant nonlinear Schrodinger equation and their modulation instability analysis
    Ali, Asghar
    Seadawy, Aly R.
    Lu, Dianchen
    [J]. OPTIK, 2017, 145 : 79 - 88
  • [6] A Modification of the Generalized Kudryashov Method for the System of Some Nonlinear Evolution Equations
    Ali, H. M. Shahadat
    Habib, M. A.
    Miah, M. Mamun
    Akbar, M. Ali
    [J]. JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2019, 14 (01): : 91 - 109
  • [7] Study of abundant explicit wave solutions of the Drinfeld-Sokolov-Satsuma-Hirota (DSSH) equation and the shallow water wave equation
    Ali, H. M. Shahadat
    Miah, M. Mamun
    Akbar, M. Ali
    [J]. PROPULSION AND POWER RESEARCH, 2018, 7 (04) : 320 - 328
  • [8] Exact bright-dark solitary wave solutions of the higher-order cubic-quintic nonlinear Schrodinger equation and its stability
    Arshad, M.
    Seadawy, Aly R.
    Lu, Dianchen
    [J]. OPTIK, 2017, 138 : 40 - 49
  • [9] Bibi S., 2014, J. Assoc. Arab Univ. Basic Appl. Sci, V15, P90, DOI DOI 10.1016/J.JAUBAS.2013.03.006
  • [10] El-Sabbagh M.F., 2014, INTER J MOD MATH SCI, V12, P30