Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method-Reference-Cited by-同舟云学术

Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method

Published:2019-05-27 Issue: Volume:2019 Page:1-6
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Bakodah H. O.¹^ORCID,Banaja M. A.¹^ORCID,Alshaery A. A.¹,Al Qarni A. A.²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia

2. Department of Mathematics, Faculty of Science, University of Bisha, Blqarn Campus, Saudi Arabia

Abstract

In this paper, we present new numerical results for the dispersive optical soliton solutions of the nonlinear Schrödinger-Hirota equation. The spatio-temporal dispersion term is included, in addition to group velocity dispersion Kerr law of nonlinearity are studied. A general recursive numerical scheme for the equation is devised via the Improved Adomian Decomposition Method (IADM) and further sought for some analytical results for validation. The scheme is shown to be efficient and possessed high level of accuracy as demonstrated.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2019/2960912.pdf

Reference40 articles.

1. IV Theoretical Foundation of Optical-Soliton Concept in Fibers

2. Optical Solitons: Theoretical Challenges and Industrial Perspectives

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