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New solitons and other solutions in saturated ferromagnetic materials modeled by Kraenkel–Manna–Merle system

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Abstract

This study reveals some new solitons solutions to the Kraenkel–Manna–Merle (KMM) system which describes the nonlinear ultra-short wave pulse motions in saturated ferromagnetic materials having external field with zero-conductivity. Various kinds of soliton solutions such as dark, bright, singular, combined dark bright, combined dark-singular solitons, periodic and singular periodic waves are successfully constructed by applying two integration schemes, namely the extended sinh-Gordon equation expansion and the (\(\frac{G^{\prime }}{G^2}\)) expansion function methods. Thus, this study shows the effectiveness and simplicity of the proposed methods. The physical features of some reported solutions are portrayed via the 3D, 2D, and contour graphs under the choice of the suitable values of the parameters. The results reveal the system theoretically possesses extremely rich soliton structures.

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Authors and Affiliations

  1. Punjab University College of Information Technology, University of the Punjab, Lahore, 54000, Pakistan

    U. Younas, M. Bilal, M. Younis & S. U. Rehman

  2. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    T. A. Sulaiman & A. Yusuf

  3. Department of Mathematics, Federal University Dutse, Jigawa, Nigeria

    T. A. Sulaiman & A. Yusuf

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  1. U. Younas
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  2. T. A. Sulaiman
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  3. A. Yusuf
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  4. M. Bilal
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  5. M. Younis
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  6. S. U. Rehman
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Correspondence to T. A. Sulaiman.

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Younas, U., Sulaiman, T.A., Yusuf, A. et al. New solitons and other solutions in saturated ferromagnetic materials modeled by Kraenkel–Manna–Merle system. Indian J Phys 96, 181–191 (2022). https://doi.org/10.1007/s12648-020-01958-2

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  • DOI: https://doi.org/10.1007/s12648-020-01958-2

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