[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 …
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 …
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
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 …
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 …
(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 …
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 …
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
We construct families of fundamental, dipole, and tripole solitons in the fractional
Schrödinger equation (FSE) incorporating self-focusing cubic and defocusing quintic terms …
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
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 …
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 …
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 …
initial isophase wavefront bending in optical media with nonlocal nonlinearity. Nonlocal …