On compacton traveling wave solutions of Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation

被引：0
|
作者：
Nadeem Salamat
Ameer Hamza Arif
Muhammad Mustahsan
Malik M. Saad Missen
V. B. Surya Prasath
机构：
[1] Khawaja Fareed University of Engineering and Information Technology,Department of Mathematics
[2] The Islamia University of Bahawalpur,Department of Mathematics
[3] The Islamia University of Bahawalpur,Department of Computer Science and IT
[4] University of Cincinnati,Department of Electrical Engineering and Computer Science
来源：
Computational and Applied Mathematics | 2022年 / 41卷
关键词：
Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation; Differential transformation method; Graphical profile; Compacton-like wave solution; 34A07; 35R13;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Nonlinear evolution equations are used to model various complex physical phenomena, and finding exact solutions of these equations is important for their applications. One of the important problem is that of finding traveling wave solutions in well-known nonlinear evolution systems from mathematical physics. In this paper, the differential transformation method (DTM) along with the wave-like transformation is used to develop the compacton traveling wave solution of nonlinear Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation. The multiple choices for the parameters in the partial differential equation are studied and results shows that the method is efficient to develop new compacton wave solutions of partial differential equation. We plot the exact analytical and numerical solutions for different values of parameters. These results validate the experiment results.
引用
收藏
相关论文
共 50 条
  • [21] Exact traveling soliton solutions for the generalized Benjamin-Bona-Mahony equation
    Malwe Boudoue Hubert
    Nikolai A. Kudryashov
    Mibaile Justin
    Souleymanou Abbagari
    Gambo Betchewe
    Serge Y. Doka
    The European Physical Journal Plus, 133
  • [22] Exact traveling soliton solutions for the generalized Benjamin-Bona-Mahony equation
    Hubert, Malwe Boudoue
    Kudryashov, Nikolai A.
    Justin, Mibaile
    Abbagari, Souleymanou
    Betchewe, Gambo
    Doka, Serge Y.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (03):
  • [23] On traveling wave solutions with stability and phase plane analysis for the modified Benjamin-Bona-Mahony equation
    Sagib, Md.
    Hossain, Md. Aslam
    Saha, Bijan Krishna
    Khan, Kamruzzaman
    PLOS ONE, 2024, 19 (07):
  • [24] On the convergence of difference schemes for the Benjamin-Bona-Mahony (BBM) equation
    Achouri, T.
    Khiari, N.
    Omrani, K.
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) : 999 - 1005
  • [25] Some Further Results on Traveling Wave Solutions for the ZK-BBM(m, n) Equations
    Li, Shaoyong
    Liu, Zhengrong
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [26] Travelling wave solutions of the generalized Benjamin-Bona-Mahony equation
    Estevez, P. G.
    Kuru, S.
    Negro, J.
    Nieto, L. M.
    CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 2031 - 2040
  • [27] Nonlinear wave solutions and their relations for the modified Benjamin–Bona–Mahony equation
    Ming Song
    Nonlinear Dynamics, 2015, 80 : 431 - 446
  • [28] Dispersive wave solutions of the nonlinear fractional Zakhorov-Kuznetsov-Benjamin-Bona-Mahony equation and fractional symmetric regularized long wave equation
    Yaro, David
    Seadawy, Aly R.
    Lu, Dianchen
    Apeanti, Wilson Osafo
    Akuamoah, Saviour Worlanyo
    RESULTS IN PHYSICS, 2019, 12 : 1971 - 1979
  • [29] Exact traveling wave solutions for the Benjamin-Bona-Mahony equation by improved Fan sub-equation method
    Li, Hong
    Wang, Kanmin
    Li, Jibin
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (14-15) : 7644 - 7652
  • [30] ON THE STABILITY OF TRAVELING-WAVE SOLUTIONS FOR SOME NONLINEAR EQUATIONS SIMILAR TO THE BENJAMIN-BONA-MAHONY EQUATION
    ILIEV, ID
    KIRCHEV, KP
    MATHEMATISCHE NACHRICHTEN, 1989, 141 : 313 - 324
12345