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Soliton solutions and stability analysis for some conformable nonlinear partial differential equations in mathematical physics

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Abstract

This research presents soliton solutions and stability analysis to some conformable nonlinear partial differential equations (CNPDEs). The CNPDEs equations in this paper are conformable Cahn–Allen and conformable Zoomeron equations. The powerful sine-Gordon method is used to carry out the soliton solutions for these equations. The aspects of stability analysis for the considered equations is investigated using the linear stability technique. The sine-Gordon method proves to be efficient and effective for the extraction of soliton solutions for different types of CNPDEs.

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Authors and Affiliations

  1. Department of Mathematics, Science Faculty, Firat University, 23119, Elazig, Turkey

    Mustafa Inc, Abdullahi Yusuf & Aliyu Isa Aliyu

  2. Department of Mathematics, Science Faculty, Federal University Dutse, 7156, Jigawa, Nigeria

    Abdullahi Yusuf & Aliyu Isa Aliyu

  3. Department of Mathematics, Cankaya University, öǧretmenler Cad, 1406530, Ankara, Turkey

    Dumitru Baleanu

  4. Institute of Space Sciences, Magurele, Bucharest, Romania

    Dumitru Baleanu

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  1. Mustafa Inc
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  2. Abdullahi Yusuf
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  4. Dumitru Baleanu
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Correspondence to Abdullahi Yusuf.

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Inc, M., Yusuf, A., Aliyu, A.I. et al. Soliton solutions and stability analysis for some conformable nonlinear partial differential equations in mathematical physics. Opt Quant Electron 50, 190 (2018). https://doi.org/10.1007/s11082-018-1459-3

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