Optical soliton perturbation of Fokas-Lenells equation by the Laplace-Adomian decomposition algorithm

O González-Gaxiola,Anjan Biswas,Milivoj R Belic

doi:10.1186/s41476-019-0111-6

O González-Gaxiola, Anjan Biswas + Show 1 more

Open Access

https://doi.org/10.1186/s41476-019-0111-6

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Abstract

This paper displays numerical simulation for bright and dark optical solitons that emerge from Fokas-Lenells equation which is studied in the context of dispersive solitons in polarization-preserving fibers. The Laplace-Adomian decomposition scheme is the numerical tool adopted in the paper. The numerical results, for bright and dark solitons, are expository and therefore supplement the analytical developments, thus far.

Highlights

One of the governing models to study dispersive solitons is Fokas-Lennels equation (FLE) [1–13]
In addition to group velocity dispersion (GVD), one considers, inter-modal dispersion as well as nonlinear dispersion treating it with a flavor of additional dispersive effects
They range from semi-inverse variational principle, Lie symmetry analysis, Riccati equation approach, exp-function method, traveling wave hypothesis, trial function method and further wide varieties

Summary

Introduction

Introduction One of the governing models to study dispersive solitons is Fokas-Lennels equation (FLE) [1–13]. One of the very many and modern numerical algorithms that will be implemented is the Laplace-Adomian decomposition integration scheme. This paper studies FLE, for the first time, by the aid of Laplace-Adomian decomposition scheme.

Results

Conclusion