TOTALLY NEW SOLITON PHENOMENA IN THE FRACTIONAL ZOOMERON MODEL FOR SHALLOW WATER

被引：17

作者：

Wang, Kang-Le ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 03期

关键词：

Fractional Zoomeron Equation; Soliton Solution; M-Truncated Fractional Derivative; EQUATION;

D O I：

10.1142/S0218348X23500299

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The nonlinear fractional Zoomeron equation with M-truncated fractional derivative, which is widely used in physics and engineering, is the major subject of this study. Using the fractional functional variable approach and fractional variational method, we effectively derived several new soliton solutions to the nonlinear fractional Zoomeron equation. The two concepts that are suggested can be used to quickly and effectively find the solutions to the same kinds of fractional evolution equations. Finally, various 3D and 2D simulation figures are plotted to show the physical characteristics of these acquired soliton solutions.

引用

页数：10

共 31 条

[1]

Ain Q. T., 2021, GEM INT J GEOMATHEMA, V12, P1

[2] New singular soliton solutions to the longitudinal wave equation in a magneto-electro-elastic circular rod with M-derivative [J].

Baskonus, H. M. ;

Gomez-Aguilar, J. F. .

MODERN PHYSICS LETTERS B, 2019, 33 (21)

[3] A study on Caudrey-Dodd-Gibbon-Sawada-Kotera partial differential equation [J].

Baskonus, Haci Mehmet ;

Mahmud, Adnan Ahmad ;

Muhamad, Kalsum Abdulrahman ;

Tanriverdi, Tanfer .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (14) :8737-8753

[4] Solitons in an inhomogeneous Murnaghan's rod [J].

Cattani, Carlo ;

Sulaiman, Tukur Abdulkadir ;

Baskonus, Haci Mehmet ;

Bulut, Hasan .

EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (06)

[5] The analytical solutions of Zoomeron equation via extended rational sin-cos and sinh-cosh methods [J].

Cinar, Melih ;

Onder, Ismail ;

Secer, Aydin ;

Yusuf, Abdullahi ;

Abdulkadir Sulaiman, Tukur ;

Bayram, Mustafa ;

Aydin, Huseyin .

PHYSICA SCRIPTA, 2021, 96 (09)

[6]

Duran S., 2021, Opt. Quantum Electron, V53, P299, DOI [10.1007/s11082-021-02940-w, DOI 10.1007/S11082-021-02940-W]

[7] An investigation of the physical dynamics of a traveling wave solution called a bright soliton [J].

Duran, Serbay .

PHYSICA SCRIPTA, 2021, 96 (12)

[8] Dynamic interaction of behaviors of time-fractional shallow water wave equation system [J].

Duran, Serbay .

MODERN PHYSICS LETTERS B, 2021, 35 (22)

[9] Homotopy perturbation method for strongly nonlinear oscillators [J].

He, Ji-Huan ;

Jiao, Man-Li ;

Gepreel, Khaled A. ;

Khan, Yasir .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 204 :243-258

[10] A note on enhanced (G'/G)-expansion method in nonlinear physics [J].

Khan, Kamruzzaman ;

Akbar, M. Ali ;

Salam, Md. Abdus ;

Islam, Md. Hamidul .

AIN SHAMS ENGINEERING JOURNAL, 2014, 5 (03) :877-884

← 1 2 3 4 →