[PDF][PDF] Localized structures in optical and matter-wave media: a selection of recent studies

D Mihalache - Rom. Rep. Phys, 2021 - rrp.nipne.ro
A survey of some recent theoretical and experimental studies on localized structures that
form and propagate in a broad class of optical and matter-wave media is presented. The …

Prediction and dynamical evolution of multipole soliton families in fractional Schrödinger equation with the PT-symmetric potential and saturable nonlinearity

WB Bo, RR Wang, Y Fang, YY Wang, CQ Dai - Nonlinear Dynamics, 2023 - Springer
The first good prediction of the multipole soliton solution for the non-integrable equation, ie,
the saturable nonlinear Schrödinger equation under the PT-symmetric potential, is achieved …

Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation

STR Rizvi, AR Seadawy, S Ahmed, M Younis… - Chaos, Solitons & …, 2021 - Elsevier
This article possess lump, lump with one kink, lump with two kink, rogue wave and lump
interactions with periodic and kink solitons for the generalized unstable space time fractional …

Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media

S Shen, Z Yang, X Li, S Zhang - Communications in Nonlinear Science and …, 2021 - Elsevier
In this study, the propagation characteristics of complex-valued hyperbolic-cosine-Gaussian
(CVHCG) beams were studied based on the nonlocal nonlinear Schrödinger equation in …

A family of nonlinear Schrodinger equations and their solitons solutions

RA El-Nabulsi, W Anukool - Chaos, Solitons & Fractals, 2023 - Elsevier
In this communication, three different forms of fractional nonlinear Schrödinger equations
have been constructed based on the notion of nonlocal generalized fractional momentum …

Periodic collision theory of multiple cosine-Hermite-Gaussian solitons in Schrödinger equation with nonlocal nonlinearity

J Li, ZJ Yang, SM Zhang - Applied Mathematics Letters, 2023 - Elsevier
In this paper, the dynamic characteristics of periodic collisions of multiple cosine-Hermite-
Gaussian (CHG) solitons in Schrödinger equation with nonlocal nonlinearity is investigated …

Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension

L Zeng, D Mihalache, BA Malomed, X Lu, Y Cai… - Chaos, Solitons & …, 2021 - Elsevier
We construct families of fundamental, dipole, and tripole solitons in the fractional
Schrödinger equation (FSE) incorporating self-focusing cubic and defocusing quintic terms …

Symmetry-breaking bifurcations and ghost states in the fractional nonlinear Schrödinger equation with a PT-symmetric potential

P Li, BA Malomed, D Mihalache - Optics Letters, 2021 - opg.optica.org
We report symmetry-breaking and restoring bifurcations of solitons in a fractional
Schrödinger equation with cubic or cubic–quintic (CQ) nonlinearity and a parity–time …

Transformation of multipole and vortex solitons in the nonlocal nonlinear fractional Schrödinger equation by means of Lévy-index management

Q Wang, L Zhang, BA Malomed, D Mihalache… - Chaos, Solitons & …, 2022 - Elsevier
The structure and stability of multipole and vortex solitons in the nonlocal nonlinear
fractional Schrödinger equation with a gradually decreasing Lévy index, α, are numerically …

Characteristics of certain higher-order Hermite-cos-Gauss breathing solitons induced by the initial wavefront bending in optical media with nonlocal nonlinearity

J Li, ZJ Yang, SM Zhang - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, we discuss the evolution dynamics of Hermite-cos-Gauss (HcG) beams with
initial isophase wavefront bending in optical media with nonlocal nonlinearity. Nonlocal …