Combined multi-waves rational solutions for complex Ginzburg–Landau equation with Kerr law of nonlinearity-Reference-Cited by-同舟云学术

Combined multi-waves rational solutions for complex Ginzburg–Landau equation with Kerr law of nonlinearity

Published:2019-01-30 Issue:03 Volume:34 Page:1950019
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Ahmed Iftikhar¹,Seadawy Aly R.²³,Lu Dianchen¹

Affiliation:

1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. 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, Egypt

Abstract

By utilizing the logarithmic transformation and symbolic computation with ansatz functions technique, rational solution and multi-waves interaction solutions are obtained for complex Ginzburg–Landau equation with Kerr law of nonlinearity. Meanwhile, the interaction between rational solutions and the kink wave is also investigated. The dynamics of these obtained solutions are analyzed and described in figures by selecting appropriate values of parameters. Through graphical interpretation, we observe the dynamics and characteristics of lump-kink interaction, soliton–soliton interaction, multi-waves interactions and breathers.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732319500196

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