Optical solitons in nonlinear directional couplers with G′/G-expansion scheme

Author:

Mirzazadeh Mohammad1,Eslami Mostafa2,Zhou Qin3,Mahmood M. F.4,Zerrad Essaid5,Biswas Anjan67,Belic Milivoj8

Affiliation:

1. Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

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

3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People's Republic of China

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

5. Department of Physics and Engineering, Delaware State University, Dover, Delaware 19901-2277, USA

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

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

8. Science Program, Texas A and M University at Qatar, P. O. Box 23874, Doha, Qatar

Abstract

This paper obtains soliton solutions in optical couplers. The governing equation is solved by the aid of G′/G-expansion scheme. There are four types of nonlinear media that are taken into consideration. These are Kerr law, power law, parabolic law, and dual-power law. There are two kinds optical couplers studied in this paper. They are twin-core couplers and multiple-core couplers, where coupling with nearest neighbors as well as coupling with all neighbors are considered. Dark and singular soliton solutions are retrieved. These soliton solutions come with constraint conditions that must hold for the 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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