Obtaining exact solutions of nonlinear partial differential equations via two different methods

被引:18
|
作者
Akbulut, Arzu [1 ]
Islam, S. M. Rayhanul [2 ]
Rezazadeh, Hadi [3 ]
Tascan, Filiz [1 ]
机构
[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math & Comp, Eskisehir, Turkey
[2] Pabna Univ Sci & Technol, Dept Math, Pabna, Bangladesh
[3] Amol Univ Special Modern Technol, Cent Fac Technol, Amol, Iran
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2022年 / 36卷 / 05期
关键词
Exact solutions; soliton solutions; symbolic computation; partial differential equation; TRAVELING-WAVE SOLUTIONS; SAWADA-KOTERA-ITO; BENJAMIN-BONA-MAHONY; CONSERVATION-LAWS; SOLITON-SOLUTIONS; MODEL;
D O I
10.1142/S0217979222500412
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper, we obtained the exact solutions of the (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) and the seventh-order Sawada- Kotera-Ito (S-K Ito) equations with the help of the (w/g)-expansion method specially the (g'/g(2))-expansion and (g')-expansion methods. Soliton solutions found for the given equations are in the form of hyperbolic, trigonometric and rational solutions. All obtained solutions were checked. 3D and 2D graphs of some solutions were given and discussed.
引用
收藏
页数:16
相关论文
共 50 条
  • [31] On Exact Multidimensional Solutions of a Nonlinear System of First Order Partial Differential Equations
    Kosov, A. A.
    Semenov, E., I
    Tirskikh, V. V.
    BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS, 2019, 28 : 53 - 68
  • [32] Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
    Anco, Stephen C.
    Ali, Sajid
    Wolf, Thomas
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2011, 7
  • [33] Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution
    Pandir, Yusuf
    Gurefe, Yusuf
    Kadak, Ugur
    Misirli, Emine
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [34] Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
    Gepreel, Khaled A.
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [35] Study of coupled nonlinear partial differential equations for finding exact analytical solutions
    Khan, Kamruzzaman
    Akbar, M. Ali
    Koppelaar, H.
    ROYAL SOCIETY OPEN SCIENCE, 2015, 2 (07):
  • [36] On exact solutions of some higher-dimensional nonlinear partial differential equations
    Inc, M
    Evans, DJ
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (06) : 743 - 754
  • [37] Application of the Exp-Function and Generalized Kudryashov Methods for Obtaining New Exact Solutions of Certain Nonlinear Conformable Time Partial Integro-Differential Equations
    Kaewta, Supaporn
    Sirisubtawee, Sekson
    Sungnul, Surattana
    COMPUTATION, 2021, 9 (05)
  • [38] Explicit exact solutions for some nonlinear partial differential equations with nonlinear terms of any order
    Li, B
    Chen, Y
    Zhang, HQ
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2003, 53 (04) : 283 - 295
  • [39] Exact and Approximate Solutions for Linear and Nonlinear Partial Differential Equations via Laplace Residual Power Series Method
    Khresat, Haneen
    El-Ajou, Ahmad
    Al-Omari, Shrideh
    Alhazmi, Sharifah E.
    Oqielat, Moa'ath N.
    AXIOMS, 2023, 12 (07)
  • [40] On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations
    Vitanov, Nikolay K.
    Dimitrova, Zlatinka I.
    Vitanov, Kaloyan N.
    COMPUTATION, 2021, 9 (10)