RUS  ENG
Full version
JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2020 Volume 25, Issue 4, Pages 338–348 (Mi rcd1069)

This article is cited in 15 papers

Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme

Oswaldo González-Gaxiolaa, Anjan Biswasbcde, Mir Asmaf, Abdullah Kamis Alzahranid

a Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, 05348 Mexico City, Mexico
b Department of Physics, Chemistry and Mathematics, Alabama A&M University, AL 35762-4900 Normal, USA
c Department of Applied Mathematics, National Research Nuclear University MEPhI, Kashirskoe sh. 31, 115409 Moscow, Russia
d Department of Mathematics, King Abdulaziz University, 21589 Jeddah, Saudi Arabia
e Department of Mathematics and Statistics, Tshwane University of Technology, 0008 Pretoria, South Africa
f Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia

Abstract: This paper numerically addresses optical dromions and domain walls that are monitored by Kundu – Mukherjee – Naskar equation. The Kundu – Mukherjee – Naskar equation is considered because this model describes the propagation of soliton dynamics in optical fiber communication system. The scheme employed in this work is Laplace – Adomian decomposition type. The accuracy of the scheme is $O(10^{-8})$ and the physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of both optical dromions and domain walls.

Keywords: Kundu – Mukherjee – Naskar equation, optical dromions, domain walls, Laplace – Adomian decomposition method, Adomian polynomials.

MSC: 78A60

Received: 27.04.2020
Accepted: 17.06.2020

Language: English

DOI: 10.1134/S1560354720040036



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024