4.6 Article

Stable propagation of optical solitons for nonlinear Schrodinger equation with dispersion and self phase modulation

期刊

MATHEMATICS AND COMPUTERS IN SIMULATION
卷 179, 期 -, 页码 126-136

出版社

ELSEVIER
DOI: 10.1016/j.matcom.2020.08.014

关键词

Soliton interaction; Hirota bilinear method; Modulated compressional dispersive Alfven

资金

  1. King Saud University, Riyadh, Saudi Arabia [RSP-2020/58]

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The study focused on MCDA waves with group velocity dispersion and self-phase modulation for multiple soliton interaction using Hirota bilinear method. One, two, and three soliton solutions were obtained, leading to the observation of various types of anti-dark solitons. These results could have implications for optical logic switches and ultrashort pulse lasers.
In this paper, we study modulated compressional dispersive Alfven (MCDA) waves with group velocity dispersion (GVD) and self-phase modulation (SPM) for multiple soliton interaction using Hirota bilinear method (HBM). We have obtained one, two and three soliton solutions. By choosing lambda(1)(t), lambda(2)(t) and lambda(3)(t) as different functions and we have observed parabolic, bright, M-shaped and S-shaped anti dark solitons. The obtained results might be significant to study optical logic switches and ultrashort pulse lasers. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

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