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Investigation for soliton solutions with some coupled equations

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Abstract

The goal of this study is to investigate the soliton solution of the nonlinear coupled Higgs equation and the Maccari system with beta time derivative. Nonlinear partial differential equations are utilized to describe complex phenomenon in applied sciences. To acquire the soliton solutions of the given model equation with beta derivative, we apply the Sine-Gordon equation method. Numerical simulation with the graphical representation clearly reveals the high competence of the given algorithm. These solitons appear with constrictive requirements that ensure their existence, and they are also presented.

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Authors and Affiliations

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

    Asim Zafar, Faiza Shakoor & Muhammad Ishaq

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

    Mustafa Inc

  3. Department of Mathematics, Firat University, Elazig, Turkey

    Mustafa Inc

  4. Department of Medical Research, China Medical University, Taichung, Taiwan

    Mustafa Inc

Authors
  1. Asim Zafar
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  2. Mustafa Inc
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  3. Faiza Shakoor
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  4. Muhammad Ishaq
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Correspondence to Mustafa Inc.

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Zafar, A., Inc, M., Shakoor, F. et al. Investigation for soliton solutions with some coupled equations. Opt Quant Electron 54, 243 (2022). https://doi.org/10.1007/s11082-022-03639-2

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