OPTICAL SOLITONS IN MULTI-DIMENSIONS WITH SPATIO-TEMPORAL DISPERSION AND NON-KERR LAW NONLINEARITY-Reference-Cited by-同舟云学术

OPTICAL SOLITONS IN MULTI-DIMENSIONS WITH SPATIO-TEMPORAL DISPERSION AND NON-KERR LAW NONLINEARITY

Published:2013-09 Issue:03 Volume:22 Page:1350035
ISSN:0218-8635
Container-title:Journal of Nonlinear Optical Physics & Materials
language:en
Short-container-title:J. Nonlinear Optic. Phys. Mat.

Author:

XU YANAN¹,JOVANOSKI ZLATKO²,BOUASLA ABDELAZIZ³,TRIKI HOURIA³,MORARU LUMINITA⁴,BISWAS ANJAN¹⁵

Affiliation:

1. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

2. Applied and Industrial Mathematics Research Group, School of Physical, Environmental and Mathematical Sciences, UNSW Canberra, ACT 2600, Australia

3. Department of Physics, Faculty of Sciences, Badji Mokhtar University, 23000 Annaba, Algeria

4. Department of Chemistry, Physics and Environment, University Dunarea de Jos Galati, 111 Domneasca Street, 800201 Galati, Romania

5. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah-80203, Saudi Arabia

Abstract

This paper studies the dynamics of optical solitons in multi-dimensions with spatio-temporal dispersion and non-Kerr law nonlinearity. The integrability aspect is the main focus of this paper. Five different forms of nonlinearity are considered — Kerr law, power law, parabolic law, dual-power law and log law nonlinearity. The traveling wave hypothesis, ansatz approach and the semi-inverse variational principle are the integration tools that are adopted to retrieve the soliton solutions to the governing equation. As a result, several constraint conditions arise out of the integration process and represent necessary conditions for the existence of solitons.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218863513500355

Reference30 articles.

1. Introduction to non-Kerr Law Optical Solitons

2. Optical soliton perturbation in non-Kerr law media: Traveling wave solution

3. OPTICAL SOLITON PERTURBATION IN NANOFIBERS WITH IMPROVED NONLINEAR SCHRÖDINGER'S EQUATION BY SEMI-INVERSE VARIATIONAL PRINCIPLE

4. On a class of physically important integrable equations

5. Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation

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