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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

  • Iftikhar Ahmed
  • Aly R. SeadawyEmail author
  • Dianchen Lu
Regular Article

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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Copyright information

© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Faculty of ScienceJiangsu UniversityZhenjiang, JiangsuChina
  2. 2.Department of Mathematics, Faculty of scienceTaibah UniversityAl-Madinah Al-MunawarahSaudi Arabia
  3. 3.Mathematics Department, Faculty of ScienceBeni-Suef UniversityBeni-SuefEgypt

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