On the soliton solutions to the space-time fractional simplified MCH equation

被引：9
|
作者：
Rezazadeh, Hadi [1 ]
Ali, Khalid K. [2 ]
Eslami, Mostafa [3 ]
Mirzazadeh, Mohammad [4 ]
机构：
[1] Amol Univ Special Modern Technol, Fac Engn Technol, Amol 4615863111, Iran
[2] Al Azhar Univ, Dept Math, Fac Sci, Cairo, Egypt
[3] Univ Mazandaran, Dept Math, Fac Math Sci, Babol Sar, Iran
[4] Univ Guilan, Dept Engn Sci, Fac Technol & Engn, Rudsar Vajargah, India
来源：
JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2019年 / 22卷 / 02期
关键词：
New extended direct algebraic method; Conformable fractional derivative; Simplified MCH equation; OPTICAL SOLITONS; EVOLUTION; SYSTEM;
D O I：
10.1080/09720502.2019.1597431
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, with the aid of the Maple software, the new extended direct algebraic method is used as a powerful method to constructs some new solutions to the well-known nonlinear models, namely, the simplified modified Camassa-Holm equation. The space-time fractional derivatives are defined in the sense of the new conformable fractional derivative. It is shown that the method is straightforward and effective mathematical tool for solving nonlinear evolution equations in mathematical physics and engineering.
引用
收藏
页码：149 / 165
页数：17
相关论文
共 50 条
  • [1] Closed-form solutions to the conformable space-time fractional simplified MCH equation and time fractional Phi-4 equation
    Abdelrahman, Mahmoud A. E.
    Alkhidhr, Hanan A.
    [J]. RESULTS IN PHYSICS, 2020, 18
  • [2] Soliton solutions of space-time fractional Zoomeron differential equation
    Rehman, Hamood Ur
    Asjad, Muhammad Imran
    Iqbal, Ifrah
    Akgul, Ali
    [J]. INTERNATIONAL JOURNAL OF APPLIED NONLINEAR SCIENCE, 2023, 4 (01) : 29 - 46
  • [3] Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations
    Abdelrahman, Mahmoud A. E.
    Hassan, S. Z.
    Alomair, R. A.
    Alsaleh, D. M.
    [J]. AIMS MATHEMATICS, 2021, 6 (06): : 6555 - 6568
  • [4] New structures for the space-time fractional simplified MCH and SRLW equations
    Ali, Khalid K.
    Nuruddeen, R. I.
    Raslan, K. R.
    [J]. CHAOS SOLITONS & FRACTALS, 2018, 106 : 304 - 309
  • [5] New Soliton Solutions to the Space-Time Fractional Boussinesq Equation Using a Reliable Method
    Alzubaidi, Marwa M.
    Almatrafi, M. B.
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
  • [6] Optical soliton solutions to the space-time fractional perturbed Schrodinger equation in communication engineering
    Akbar, M. Ali
    Khatun, Mst. Munny
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (07)
  • [7] New Types of Soliton Solutions for Space-time Fractional Cubic Nonlinear Schrodinger Equation
    Neirameh, Ahmad
    Eslami, Mostafa
    Mehdipoor, Mostafa
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (02): : 121 - 131
  • [8] Abundant fractional soliton solutions of a space-time fractional perturbed Gerdjikov-Ivanov equation by a fractional mapping method
    Lu, Peng-Hong
    Wang, Yue-Yue
    Dai, Chao-Qing
    [J]. CHINESE JOURNAL OF PHYSICS, 2021, 74 : 96 - 105
  • [9] EXACT SOLUTIONS OF SPACE-TIME FRACTIONAL (2+1)-DIMENSIONAL BREAKING SOLITON EQUATION
    Tian, Yi
    Wan, Jian-Xiong
    [J]. THERMAL SCIENCE, 2021, 25 (02): : 1229 - 1235
  • [10] Solutions of the space-time fractional Cattaneo diffusion equation
    Qi, Haitao
    Jiang, Xiaoyun
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390 (11) : 1876 - 1883
12345