Extraction of optical solitons in birefringent fibers for Biswas-Arshed equation via extended trial equation method

Muhammad Tahir,Kashif Ali Abro,Aziz Ullah Awan

doi:10.1515/nleng-2021-0011

Abstract

Abstract This article obtains optical solitons to the Biswas-Arshed equation for birefringent fibers with higher order dispersions and in the absence of four-wave mixing terms, in a media with Kerr type nonlinearity. Optical dark, singular and bright soliton solutions are articulated by applying an imaginative integration technique, the extended trial equation scheme. Various additional traveling wave solutions are produced with this integration technique, which include rational solutions, Jacobi elliptic function solutions and periodic singular solutions. From the mathematical analysis some constraints are recognized that ensure the actuality of solitons.

Highlights

Solitons play a pivotal role in almost every eld of life and are prominently domineering in optics by virtue of their development and control in optical bers and transmission of data across trans-continental distances
Various additional traveling wave solutions are produced with this integration technique, which include rational solutions, Jacobi elliptic function solutions and periodic singular solutions
B and a are the coe cients of spatio-temporal dispersion (STD) and group velocity dispersion respectively, while d and c are the coe cients of third order STD and third order dispersion respectively, for =

Summary

Introduction

Solitons play a pivotal role in almost every eld of life and are prominently domineering in optics by virtue of their development and control in optical bers and transmission of data across trans-continental distances. In the context of optical bers the investigation of solitons is the conspicuous area of research in electrical engineering, telecommunication industry and applied sciences [1,2,3,4,5,6,7,8,9,10,11,12,13]. There is an extensive range of models that commendably describe the dynamics of formation of solitons such as the nonlinear Schrödinger’s equation, FokasLenells equation, Kaup-Newell equation, Lakshmanan-

Governing equation

Conclusion