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Fractional Sine–Gordon Equation Approach to the Coupled Higgs System Defined in Time-Fractional Form

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Abstract

In the present study, we derive exact solutions to the conformable time-fractional form of the coupled Higgs system by the implementation of the fractional Sine–Gordon expansion approach. The derived solutions are of various forms covering multi-waves and complex-valued waveforms. The procedure is based on the relation between the trigonometric and the hyperbolic functions set by the solutions of the fractional Sine–Gordon equation. In this perspective, some of the reported solutions have differences from the former solutions in the literature.

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Authors and Affiliations

  1. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    H. Rezazadeh

  2. Department of Mathematics, Payame Noor University (PNU), Tehran, P.O. Box 19395-3697, Iran

    S. M. Mirhosseini-Alizamini

  3. Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran

    A. Neirameh

  4. Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroon

    A. Souleymanou

  5. National Advanced School of Engineering, University of Yaounde I, Yaounde, Cameroon

    A. Souleymanou

  6. Nord Staße 9, Weimar, Germany

    A. Korkmaz

  7. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey

    Ahmet Bekir

Authors
  1. H. Rezazadeh
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  2. S. M. Mirhosseini-Alizamini
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  3. A. Neirameh
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  4. A. Souleymanou
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  5. A. Korkmaz
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  6. Ahmet Bekir
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Correspondence to Ahmet Bekir.

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Rezazadeh, H., Mirhosseini-Alizamini, S.M., Neirameh, A. et al. Fractional Sine–Gordon Equation Approach to the Coupled Higgs System Defined in Time-Fractional Form. Iran J Sci Technol Trans Sci 43, 2965–2973 (2019). https://doi.org/10.1007/s40995-019-00780-8

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  • DOI: https://doi.org/10.1007/s40995-019-00780-8

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