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Kinky breathers, W-shaped and multi-peak solitons interaction in (2 + 1)-dimensional nonlinear Schrödinger equation with Kerr law of nonlinearity

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Abstract.

The purpose of this paper is to construct multiwave solutions for the (2 + 1)-dimensional nonlinear Schrödinger equation by utilizing the logarithmic transformation and symbolic computation with the ansatz function method. We used three different techniques, namely, three waves method, double exponential form and homoclinic breather approach. By selecting appropriate values of the parameter, 3d plots are drawn to obtained kinky breathers, W-shaped and multi-peak solitons. Furthermore we observed three different types of very interesting interactional phenomena between multi-peak solitons and multi-kink waves.

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Authors and Affiliations

  1. Faculty of Science, Jiangsu University, 212013, Zhenjiang, Jiangsu, China

    Iftikhar Ahmed & Dianchen Lu

  2. Department of Mathematics, Faculty of science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

  3. Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

    Aly R. Seadawy

Authors
  1. Iftikhar Ahmed
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  2. Aly R. Seadawy
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  3. Dianchen Lu
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Correspondence to Aly R. Seadawy.

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Ahmed, I., Seadawy, A.R. & Lu, D. Kinky breathers, W-shaped and multi-peak solitons interaction in (2 + 1)-dimensional nonlinear Schrödinger equation with Kerr law of nonlinearity. Eur. Phys. J. Plus 134, 120 (2019). https://doi.org/10.1140/epjp/i2019-12482-8

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  • DOI: https://doi.org/10.1140/epjp/i2019-12482-8

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