https://doi.org/10.1140/epjp/i2019-12482-8
Regular Article
Kinky breathers, W-shaped and multi-peak solitons interaction in (2 + 1)-dimensional nonlinear Schrödinger equation with Kerr law of nonlinearity
1
Faculty of Science, Jiangsu University, 212013, Zhenjiang, Jiangsu, China
2
Department of Mathematics, Faculty of science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
3
Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
* e-mail: aly742001@yahoo.com
Received:
8
November
2018
Accepted:
18
December
2018
Published online:
26
March
2019
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.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
