Zobrazeno 1 - 10
of 2 357
pro vyhledávání: '"Malomed, Boris"'
Research on time crystals concerns the spontaneous breaking of translational symmetry in time, as well as the realization of phenomena and phases known from solid-state physics in the time domain. Periodically driven systems of massive particles are
Externí odkaz:
http://arxiv.org/abs/2410.21047
We introduce a waveguiding system composed of three linearly-coupled fractional waveguides, with a triangular (prismatic) transverse structure. It may be realized as a tri-core nonlinear optical fiber with fractional group-velocity dispersion (GVD),
Externí odkaz:
http://arxiv.org/abs/2410.12610
We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons is investigated in the framework of the fractional nonlinear
Externí odkaz:
http://arxiv.org/abs/2409.18299
We investigate spontaneous symmetry- and antisymmetry-breaking bifurcations of solitons in a nonlinear dual-core waveguide with the pure-quartic dispersion and Kerr nonlinearity. Symmetric, antisymmetric, and asymmetric pure-quartic solitons (PQSs) a
Externí odkaz:
http://arxiv.org/abs/2409.15062
The current state of research on vortices carried by quantum droplets (QDs) has predicted their existence, in the stable form, in two- and three-dimensional free-space binary Bose-Einstein condensates (BECs) and dipolar BECs. These theoretical result
Externí odkaz:
http://arxiv.org/abs/2409.10390
Publikováno v:
New J. Phys. 26, 093020 (2024)
We analytically and numerically study three-component rogue waves (RWs) in spin-1 Bose-Einstein condensates with Raman-induced spin-orbit coupling (SOC). Using the multiscale perturbative method, we obtain approximate analytical solutions for RWs wit
Externí odkaz:
http://arxiv.org/abs/2409.01613
Publikováno v:
Proc. R. Soc. A 480 (2024) 20230765
s in laser systems with two fractional-dispersion/diffraction terms, quantified by their L\'{e}vy indices, $\alpha_{1}\, \alpha_{2}\in (1, 2]$, and self-focusing or defocusing Kerr nonlinearity. Some fundamental solitons are obtained by means of the
Externí odkaz:
http://arxiv.org/abs/2409.01135
Stable vortex solitons (VSs) are objects of great interest for fundamental studies and various applications, including particle trapping, microscopy, data encoding, and matter-wave gyroscopes. However, three-dimensional (3D) VSs with high topological
Externí odkaz:
http://arxiv.org/abs/2408.12878
Buildup and switching mechanisms of solitons in complex nonlinear systems are fundamentally important dynamical regimes. Using a novel strongly nonlinear optical system,the work reveals a new buildup scenario for soliton molecules , which includes a
Externí odkaz:
http://arxiv.org/abs/2408.10836
A physics-informed neural network (PINN) is used to produce a variety of self-trapped necklace solutions of the (2+1)-dimensional nonlinear Schr\"{o}dinger/Gross-Pitaevskii equation. We elaborate the analysis for the existence and evolution of neckla
Externí odkaz:
http://arxiv.org/abs/2408.05414