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Multi-wave, homoclinic breather, M-shaped rational and other solitary wave solutions for coupled-Higgs equation

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Abstract

In this article, we construct multi-wave, homoclinic breather, M-shaped rational and periodic cross kink wave solutions for coupled-Higgs equation (CHE) by using distinct transformations. We obtain these solutions with the aid of logarithmic transformations and symbolic computations. Moreover, we also derive some soliton wave solutions for CHE in polynomial forms. These solutions include solitary wave, soliton wave and Jacobi elliptic function solutions and are found by implementing unified technique. We will also discuss the graphical structure of our newly achieved results.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan

    S. T. R. Rizvi, M. A. Ashraf & A. Bashir

  2. Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    A. R. Seadawy

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

    M. Younis

  4. Department of Mathematics, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  5. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan, ROC

    Dumitru Baleanu

  6. Institute of Space Sciences, 077125, Magurele, Romania

    Dumitru Baleanu

Authors
  1. S. T. R. Rizvi
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  2. A. R. Seadawy
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  3. M. A. Ashraf
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  4. A. Bashir
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  5. M. Younis
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Correspondence to A. R. Seadawy.

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Rizvi, S.T.R., Seadawy, A.R., Ashraf, M.A. et al. Multi-wave, homoclinic breather, M-shaped rational and other solitary wave solutions for coupled-Higgs equation. Eur. Phys. J. Spec. Top. 230, 3519–3532 (2021). https://doi.org/10.1140/epjs/s11734-021-00270-2

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