Results 41 to 50 of about 2,919,645 (262)

Cubic–quartic optical soliton perturbation with Fokas–Lenells equation by sine–Gordon equation approach

open access: yesResults in Physics, 2021
This paper recovers cubic–quartic optical solitons for perturbed Fokas–Lenells equation in polarization-preserving fibers and birefringent fibers. The perturbation terms appear with maximum permissible intensity. Singular and dark solitons, together with
Yakup Yıldırım   +6 more
doaj   +1 more source

Optical Soliton Neural Networks

open access: yes, 2023
The chapter describes the realization of photonic integrated circuits based on photorefractive solitonic waveguides. In particular, it has been shown that X-junctions formed by soliton waveguides can learn information by switching their state. X junctions can perform both supervised and unsupervised learning.
Eugenio Fazio   +2 more
openaire   +3 more sources

Stability of Multihump Optical Solitons [PDF]

open access: yesPhysical Review Letters, 1999
We demonstrate that, in contrast with what was previously believed, multi-hump solitary waves can be stable. By means of linear stability analysis and numerical simulations, we investigate the stability of two- and three-hump solitary waves governed by incoherent beam interaction in a saturable medium, providing a theoretical background for the ...
Ostrovskaya, Elena A.   +3 more
openaire   +4 more sources

Nondegenerate Bright Solitons in Coupled Nonlinear Schrödinger Systems: Recent Developments on Optical Vector Solitons

open access: yesPhotonics, 2021
Nonlinear dynamics of an optical pulse or a beam continue to be one of the active areas of research in the field of optical solitons. Especially, in multi-mode fibers or fiber arrays and photorefractive materials, the vector solitons display rich ...
S. Stalin   +2 more
doaj   +1 more source

Mathematical methods for construction new soliton solutions of Radhakrishnan-Kundu Lakshmanan equation

open access: yesAlexandria Engineering Journal, 2022
In this paper, the modified simple equation method and the extended simplest equation method are applied to secure optical solitons and other solutions for Radhakrishnan-Kundu Lakshmanan equation.
H.A. Eldidamony   +4 more
doaj   +1 more source

Formation and Propagation of Matter Wave Soliton Trains

open access: yes, 2002
Attraction between atoms in a Bose-Einstein-Condensate renders the condensate unstable to collapse. Confinement in an atom trap, however, can stabilize the condensate for a limited number of atoms, as was observed with 7Li, but beyond this number, the ...
A Görlitz   +30 more
core   +1 more source

Existence, symmetry breaking bifurcation and stability of two-dimensional optical solitons supported by fractional diffraction.

open access: yesOptics Express, 2021
We study existence, bifurcation and stability of two-dimensional optical solitons in the framework of fractional nonlinear Schrödinger equation, characterized by its Lévy index, with self-focusing and self-defocusing saturable nonlinearities.
Pengfei Li, Rujiang Li, C. Dai
semanticscholar   +1 more source

Highly Dispersive Optical Solitons with Four Forms of Self-Phase Modulation

open access: yesUniverse, 2023
This paper implements the enhanced Kudryashov approach to retrieve highly dispersive optical solitons and study it with four nonlinear forms. These are the power law, generalized quadratic-cubic law, triple-power law, and the generalized non-local law ...
Ahmed M. Elsherbeny   +7 more
doaj   +1 more source

Multidimensional solitons in a low-dimensional periodic potential

open access: yes, 2003
Using the variational approximation(VA) and direct simulations, we find stable 2D and 3D solitons in the self-attractive Gross-Pitaevskii equation (GPE) with a potential which is uniform in one direction ($z$) and periodic in the others (but the quasi-1D
A. Ferrando   +5 more
core   +1 more source

New optical solitons of perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion

open access: yes, 2021
The perturbed nonlinear Schrodinger–Hirota equation with spatio-temporal dispersion (PNSHE-STD) which governs the propagation of dispersive pulses in optical fibers, is investigated in this study using an improved Sardar sub-equation method. The Kerr and
Lanre Akinyemi   +6 more
semanticscholar   +1 more source

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