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Various forms of M-shaped rational, periodic cross kink waves and breathers for Bose–Einstien condensate model

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Abstract

In this manuscript, various types of breather, periodic cross-kink and rational solitons, M-shaped rational solutions with one and two kink and multi-waves will be discussed for Bose–Einstien condensate (BEC) model. We will compute the Kuznetsov–Ma breather, Akhmediev breather and generalized breather along with discussion on the interaction between them. At the end we will present the graphical description for our newly obtained solutions.

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Acknowledgements

Taif University Researchers Supporting Project Number (TURSP- 2020/326), Taif University, Taif, Saudi Arabia.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

  2. Department of Computer Science, University of the Punjab, Lahore, Pakistan

    Muhammad Younis

  3. Mathematics Department, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    Ali Althobaiti

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  1. Aly R. Seadawy
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Correspondence to Aly R. Seadawy.

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Seadawy, A.R., Younis, M. & Althobaiti, A. Various forms of M-shaped rational, periodic cross kink waves and breathers for Bose–Einstien condensate model. Opt Quant Electron 54, 152 (2022). https://doi.org/10.1007/s11082-021-03498-3

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