OPTICAL SOLITON PERTURBATION IN NANOFIBERS WITH IMPROVED NONLINEAR SCHRÖDINGER'S EQUATION BY SEMI-INVERSE VARIATIONAL PRINCIPLE-Reference-Cited by-同舟云学术

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

Published:2012-12 Issue:04 Volume:21 Page:1250054
ISSN:0218-8635
Container-title:Journal of Nonlinear Optical Physics & Materials
language:en
Short-container-title:J. Nonlinear Optic. Phys. Mat.

Author:

BISWAS ANJAN¹,MILOVIC DANIELA²,SAVESCU MICHELLE¹³,MAHMOOD MOHAMMAD F.⁴,KHAN KAISAR R.⁵,KOHL RUSSELL⁶

Affiliation:

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

2. Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 1800, Nis, Serbia

3. Department of Mathematics, Kuztown University of Pennsylvania, 15200 Kutztown Road, Kuztown, PA-19530, USA

4. Department of Mathematics, Howard University, Washington, DC-20059, USA

5. Canino School of Engineering Technology, State University of New York, Canton, Canton, NY-13617, USA

6. Department of Mathematics and Computer Science, University of Maryland Eastern Shore, Princess Anne, MD-21853, USA

Abstract

This paper studies the perturbation of the improved version of the nonlinear Schrödinger's equation that governs the propagation of solitons through nonlinear optical fibers. The semi-inverse variational principle is employed in order to obtain an analytical soliton solution in presence of the perturbation terms. There are three types of nonlinearity that will be studied. They are Kerr law, power law and the log law. The constraint conditions will naturally fall out in order for the soliton solutions to exist. The numerical simulations supplement the analytical results for each of the three laws of nonlinearity.

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/S0218863512500543

Reference28 articles.

1. Solitons in Relativistic Plasmas by He’s Variational Principle

2. Introduction to non-Kerr Law Optical Solitons

3. TEMPORAL 1-SOLITON SOLUTION OF THE COMPLEX GINZBURG-LANDAU EQUATION WITH POWER LAW NONLINEARITY

4. OPTICAL SOLITON PERTURBATION WITH LOG LAW NONLINEARITY BY HE'S SEMI-INVERSE VARIATIONAL PRINCIPLE

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