Bright and exotic solitons in optical metamaterials by semi-inverse variational principle

Author:

Xu Yanan1,Vega-Guzman Jose2,Milovic Daniela3,Mirzazadeh M.4,Eslami Mostafa5,Mahmood M. F.2,Biswas Anjan16,Belic Milivoj7

Affiliation:

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

2. Department of Mathematics, Howard University, Washington, DC 20059, USA

3. Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Serbia

4. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran

5. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

6. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

7. Science Program, Texas A & M University at Qatar, P.O. Box 23874, Doha, Qatar

Abstract

This paper addresses solitons in optical metamaterials. The semi-inverse variational principle (SVP) is utilized to secure bright soliton solutions to the governing model. There are five forms of nonlinearity that are studied in this paper. They are Kerr law, power law, parabolic law, dual-power law and finally the log law nonlinearity. In particular for Kerr law nonlinearity, there are two additional forms of soliton solutions obtained. They are cosh-Gaussian pulses and bright-dark combo solitons and these are collectively being referred to as exotic solitons. There are several constraint conditions that naturally emerge for these solitons to exist.

Publisher

World Scientific Pub Co Pte Lt

Subject

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

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