Dynamics of Damped and Undamped Wave Natures of the Fractional Kraenkel-Manna-Merle System in Ferromagnetic Materials
Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JACM-10-2_007
تاریخ نمایه سازی: 23 اردیبهشت 1403
Abstract:
This research considers the Kraenkel-Manna-Merle system with an M-truncated derivative (K-M-M-S-M-T-D) that defines the magnetic field propagation (M-F-P) in ferromagnetic materials with zero conductivity (F-M-Z-C) and uses the Sardar sub-equation method (S-S-E-M). Our goal is to acquire soliton solutions (SSs) of K-M-M-S-M-T-D via the S-S-E-M. To our knowledge, no one has considered the SSs to the K-M-M-S-MTD with or without a damping effect (DE) via the S-S-E-M. The SSs are achieved as the M-shape, periodic wave shape, W-shape, kink, anti-parabolic, and singular kink solitons in terms of free parameters. We utilize Maple to expose pictures in three-dimensional (۳-D), contour and two-dimensional (۲-D) for different values of fractional order (FO) of the got SSs, and we discuss the effect of the FO of the K-M-M-S-MTD via the S-S-E-M, which has not been discussed in the previous literature. All wave phenomena are applied to optical fiber communication, signal transmission, porous mediums, magneto-acoustic waves in plasma, electromagnetism, fluid dynamics, chaotic systems, coastal engineering, and so on. The achieved SSs prove that the S-S-E-M is very simple and effective for nonlinear science and engineering for examining nonlinear fractional differential equations (N-L-F-D-Es).
Keywords:
The fractional Kraenkel-Manna-Merle system , M-Truncated derivative , Sardar sub-equation method , soliton solutions , nonlinear fractional differential equations
Authors
Md. Nur Alam
Department of Mathematics, Pabna University of Science and Technology, Pabna, ۶۶۰۰, Bangladesh
Md. Abdur Rahim
Department of Computer Science and Engineering, Pabna University of Science and Technology, Pabna, ۶۶۰۰, Bangladesh
Md. Najmul Hossain
Department of Electrical, Electronic and Communication Engineering, Pabna University of Science and Technology, Pabna, ۶۶۰۰, Bangladesh
Cemil Tunç
Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, ۶۵۰۸۰, Van, Turkey
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