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Soliton solutions in the conformable (2+1)-dimensional chiral nonlinear Schrödinger equation

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Abstract

In this paper, the generalized exponential rational function method is applied to obtain analytical solutions for the conformable (2+1)-dimensional chiral nonlinear Schrödinger equation. We obtain novel soliton, traveling waves and kink-type solutions with complex structures. We also present the two- and three-dimensional shapes for the real and imaginary part of the obtained solutions. It is illustrated that generalized exponential rational function method is simple and efficient method to reach the various types of the soliton solutions.

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Acknowledgements

The authors are highly thankful and grateful to Mehran University of Engineering and Technology, Jamshoro, Pakistan, for generous support and facilities of this research work. José Francisco Gómez Aguilar acknowledges the support provided by CONACyT: Cátedras CONACyT para jóvenes investigadores 2014 and SNI-CONACyT.

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Authors and Affiliations

  1. Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran

    Behzad Ghanbari

  2. Department of Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, 34349, Istanbul, Turkey

    Behzad Ghanbari

  3. CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico

    J. F. Gómez-Aguilar

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

    Ahmet Bekir

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  1. Behzad Ghanbari
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  2. J. F. Gómez-Aguilar
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  3. Ahmet Bekir
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All authors contributed equally and significantly in writing this article. All authors read and approved the final manuscript.

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Correspondence to Ahmet Bekir.

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Ghanbari, B., Gómez-Aguilar, J.F. & Bekir, A. Soliton solutions in the conformable (2+1)-dimensional chiral nonlinear Schrödinger equation. J Opt 51, 289–316 (2022). https://doi.org/10.1007/s12596-021-00754-3

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  • DOI: https://doi.org/10.1007/s12596-021-00754-3

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