Highly dispersive optical solitons of equation with various polynomial nonlinearity law

NA Kudryashov - Chaos, Solitons & Fractals, 2020 - Elsevier
An nonlinear sixth-order partial differential equation for description of propagation pulse with
various polynomial nonlinearities is considered. Traveling wave solutions are used to obtain …

Periodic and solitary waves in optical fiber Bragg gratings with dispersive reflectivity

NA Kudryashov - Chinese Journal of Physics, 2020 - Elsevier
The system of partial differential equations for moving optical solitons in fiber Bragg gratings
are studied. The traveling wave reductions are used to look for solutions of the system of …

Chirped and chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having quadratic-cubic nonlinearity by sub-ODE approach

EME Zayed, MEM Alngar, A Biswas, H Triki, Y Yıldırım… - Optik, 2020 - Elsevier
This paper exposes optical solitons and other solutions to fiber Bragg gratings with
dispersive reflectivity having quadratic-cubic form of nonlinear refractive index. The new sub …

Soliton collisions in the discrete nonlinear Schrödinger equation

IE Papacharalampous, PG Kevrekidis, BA Malomed… - Physical Review E, 2003 - APS
We report analytical and numerical results for on-site and intersite collisions between
solitons in the discrete nonlinear Schrödinger model. A semianalytical variational …

Solitary waves described by a high‐order system in optical fiber Bragg gratings with arbitrary refractive index

KV Kan, NA Kudryashov - Mathematical Methods in the …, 2022 - Wiley Online Library
A system of the fourth‐order nonlinear differential equations for description of wave
propagation in optical fiber Bragg gratings is considered. This system of equations also …

Dynamics and collisions of moving solitons in Bragg gratings with dispersive reflectivity

DR Neill, J Atai, BA Malomed - Journal of Optics A: Pure and …, 2008 - iopscience.iop.org
Results of systematic investigation of the stability of moving solitons and soliton–soliton
collisions are reported within the framework of the recently proposed model which is a …

Optical solitons in fiber Bragg gratings with generalized anti-cubic nonlinearity by extended auxiliary equation

EME Zayed, RMA Shohib, A Biswas… - Chinese Journal of …, 2020 - Elsevier
Optical solitons in fiber Bragg gratings with generalized anti-cubic nonlinearity by extended
auxiliary equation - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Chirped and chirp-free optical solitons in fiber Bragg gratings with Kudryashov's model in presence of dispersive reflectivity

EME Zayed, MEM Alngar, A Biswas, M Ekici… - Journal of …, 2020 - Springer
In this paper, the extended Kudryashov's method has been successfully implemented to
obtain optical solitons and other solutions to Kudryashov's model in fiber Bragg gratings …

Stability of Bragg grating solitons in a cubic–quintic nonlinear medium with dispersive reflectivity

S Dasanayaka, J Atai - Physics Letters A, 2010 - Elsevier
We investigate the existence and stability of Bragg grating solitons in a cubic–quintic
medium with dispersive reflectivity. It is found that the model supports two disjoint families of …

Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity

SAMS Chowdhury, J Atai - Scientific Reports, 2017 - nature.com
The existence, stability and collision dynamics of moving Bragg grating solitons in a
semilinear dual-core system where one core has the Kerr nonlinearity and is equipped with …