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
  • [21] A Table Lookup Method for Exact Analytical Solutions of Nonlinear Fractional Partial Differential Equations
    Ji Juan-Juan
    Guo Ye-Cai
    Zhang Lan-Fang
    Zhang Chao-Long
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
  • [22] Simple Equations Method for Obtaining Exact Solutions of Nonlinear Differential Equations with Polynomial or Nonpolynomial Nonlinearity
    Dimitrova, Zlatinka I.
    Vitanov, Nikolay K.
    ADVANCED COMPUTING IN INDUSTRIAL MATHEMATICS, SIAM, 2025, 522 : 81 - 92
  • [23] Exact solutions of some systems of nonlinear partial differential equations using symbolic computation
    Xie, FD
    Li, M
    Zhang, Y
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (5-6) : 711 - 716
  • [24] Elementary functions for constructing exact solutions to nonlinear partial differential equations with applications to nonlinear Schrodinger type and MHD equations
    Moawad, S. M.
    Ibrahim, D. A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (09) : 2151 - 2166
  • [25] Exact solutions for nonlinear fractional differential equations using exponential rational function method
    Mohyud-Din, Syed Tauseef
    Bibi, Sadaf
    OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (02)
  • [26] Analytical solutions of some nonlinear fractional-order differential equations by different methods
    Odabasi, Meryem
    Pinar, Zehra
    Kocak, Huseyin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (09) : 7526 - 7537
  • [27] On the Exact Solutions of a Sequence of Nonlinear Differential Equations Possessing Polynomial Nonlinearities
    Dimitrova, Zlatinka, I
    NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES, NTADES 2023, 2024, 449 : 57 - 66
  • [28] Some Exact Solutions of Two Fifth Order KdV-Type Nonlinear Partial Differential Equations
    Mia, Abdus Sattarl
    Akter, Tania
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2012, 25 (04): : 356 - 365
  • [29] FIRST INTEGRAL METHOD AND EXACT SOLUTIONS TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS
    Zhang, Zai-Yun
    Zhong, Juan
    Dou, Sha Sha
    Liu, Jiao
    Peng, Dan
    Gao, Ting
    ROMANIAN REPORTS IN PHYSICS, 2013, 65 (04) : 1155 - 1169
  • [30] Exact solutions of some nonlinear systems of partial differential equations by using the first integral method
    Hosseini, K.
    Ansari, R.
    Gholamin, R.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (02) : 807 - 814