The Analytical Solutions to the Fractional Kraenkel-Manna-Merle System in Ferromagnetic Materials

被引：15
|
作者：
Alshammari, Mohammad [1 ]
Hamza, Amjad E. [1 ]
Cesarano, Clemente [2 ]
Aly, Elkhateeb S. [3 ]
Mohammed, Wael W. [1 ,4 ]
机构：
[1] Univ Hail, Dept Math, Coll Sci, Hail 2440, Saudi Arabia
[2] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy
[3] Jazan Univ, Dept Math, Coll Sci, Jazan 45142, Saudi Arabia
[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 07期
关键词：
fractional KMMS; F-expansion method; M-truncated derivative; NONLINEAR EVOLUTION-EQUATIONS; TRAVELING-WAVE SOLUTIONS; RECENT PROGRESS; TANH METHOD; SEMICONDUCTORS; SOLITONS;
D O I：
10.3390/fractalfract7070523
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we examine the Kraenkel-Manna-Merle system (KMMS) with an M-truncated derivative (MTD). Our goal is to obtain rational, hyperbolic, and trigonometric solutions by using the F-expansion technique with the Riccati equation. To our knowledge, no one has studied the exact solutions to the KMMS in the presence/absence of a damping effect with an M-truncated derivative, using the F-expansion technique. The magnetic field propagation in a zero-conductivity ferromagnet is described by the KMMS; hence, solutions to this equation may provide light on several fascinating scientific phenomena. We use MATLAB to display figures in a variety of 3D and 2D formats to demonstrate the influence of the M-truncated derivative on the exact solutions to the KMMS.
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收藏
页数：12
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