New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method

被引：141
|
作者：
Hosseini, K. [1 ]
Ansari, R. [2 ]
机构：
[1] Islamic Azad Univ, Rasht Branch, Dept Math, Rasht, Iran
[2] Univ Guilan, Dept Mech Engn, Rasht, Iran
来源：
WAVES IN RANDOM AND COMPLEX MEDIA | 2017年 / 27卷 / 04期
关键词：
Nonlinear Boussinesq equations; conformable time-fractional derivative; modified Kudryashov method; new exact solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; FUNCTIONAL VARIABLE METHOD; FINDING EXACT-SOLUTIONS; 1ST INTEGRAL METHOD; WAVE SOLUTIONS;
D O I：
10.1080/17455030.2017.1296983
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the nonlinear Boussinesq equations with the conformable time-fractional derivative are solved analytically using the well-established modified Kudryashov method. As a consequence, a number of new exact solutions for this type of equations are formally derived. It is believed that the method is one of the most effective techniques for extracting new exact solutions of nonlinear fractional differential equations.
引用
收藏
页码：628 / 636
页数：9
相关论文
共 50 条
  • [1] Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the exp(-φ/(ε))-expansion method
    Hosseini, K.
    Bekir, A.
    Ansari, R.
    OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (04)
  • [2] New exact solutions of the conformable time-fractional Cahn-Allen and Cahn-Hilliard equations using the modified Kudryashov method
    Hosseini, K.
    Bekir, A.
    Ansari, R.
    OPTIK, 2017, 132 : 203 - 209
  • [3] New exact solutions for nonlinear Atangana conformable Boussinesq-like equations by new Kudryashov method
    Mirhosseini-Alizamini, Seyed Mehdi
    Ullah, Najib
    Sabi'u, Jamilu
    Rezazadeh, Hadi
    Inc, Mustafa
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (12):
  • [4] Solitary Wave Solutions of Nonlinear Conformable Time-Fractional Boussinesq Equations
    Guner, O.
    Bekir, A.
    Hosseini, K.
    ACTA PHYSICA POLONICA A, 2019, 136 (01) : 135 - 140
  • [5] Exact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics
    Ekici, Mustafa
    SYMMETRY-BASEL, 2023, 15 (10):
  • [6] On exact solutions of some important nonlinear conformable time-fractional differential equations
    Özkan E.M.
    Özkan A.
    SeMA Journal, 2023, 80 (2) : 303 - 318
  • [7] The modified simplest equation procedure for conformable time-fractional Boussinesq equations
    Razzaq, Waseem
    Zafar, Asim
    Akbulut, Arzu
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2022, 36 (17):
  • [8] Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology
    Kumar, Dipankar
    Seadawy, Aly R.
    Joardar, Atish Kumar
    CHINESE JOURNAL OF PHYSICS, 2018, 56 (01) : 75 - 85
  • [9] The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrodinger Equation by the Trial Equation Method and Modified Trial Equation Method
    Aderyani, Safoura Rezaei
    Saadati, Reza
    Vahidi, Javad
    Allahviranloo, Tofigh
    ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
  • [10] The exact solutions of conformable time-fractional modified nonlinear Schrodinger equation by first integral method and functional variable method
    Aderyani, Safoura Rezaei
    Saadati, Reza
    Vahidi, Javad
    Gomez-Aguilar, J. F.
    OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (04)
12345