Two-dimensional nonlocal multisolitons

VM Lashkin, AI Yakimenko, OO Prikhodko - Physics Letters A, 2007 - Elsevier
… thermal nonlocal nonlinearity, we find a class of radially asymmetric nonrotating two-dimensional
The stability window for dipolar multisolitons is found. We find also rotating dipole and …

Two-dimensional nonlocal vortices, multipole solitons, and rotating multisolitons in dipolar Bose-Einstein condensates

VM Lashkin - Physical Review A—Atomic, Molecular, and Optical …, 2007 - APS
… of the two-dimensional 2D soliton solutions in Bose-Einstein condensates with nonlocal
dipole-dipole interactions. For the modified 2D Gross-Pitaevski equation with nonlocal and …

Dynamics of two-dimensional coherent structures in nonlocal nonlinear media

AI Yakimenko, VM Lashkin, OO Prikhodko - Physical Review E—Statistical …, 2006 - APS
… IV, we consider the multisoliton dipolelike structures. The … stationary two-dimensional localized
solitary structures in the nonlocal … momentum; dipolar multisolitons. While the fundamental …

Noncommutative multi-solitons in 2+ 1 dimensions

O Lechtenfeld, AD Popov - Journal of High Energy Physics, 2001 - iopscience.iop.org
… The nonlocality of the star product renders explicit computations cumbersome. We therefore
… for the standard non-commutative euclidean two-dimensional sigma model, as was clarified …

A novel (2+ 1)-dimensional Sawada-Kotera type system: multisoliton solution and variable separation solution

J Wang, Y Yang, X Tang, Y Chen - Nonlinear Dynamics, 2024 - Springer
… In particular, the single soliton standing on the elliptic function background is constructed
by the localization of nonlocal symmetry method [41], the consistent Tanh expansion method […

Two-dimensional ring-like vortex and multisoliton nonlinear structures at the upper-hybrid resonance

VM Lashkin - Physics of Plasmas, 2007 - pubs.aip.org
Two-dimensional (2D) equations describing the nonlinear interaction between upper-hybrid
and dispersive magnetosonic waves are presented. Nonlocal … , nonrotating multisolitons (two…

Stable fundamental two-dimensional solitons in media with competing nonlocal interactions

PS Jung, GG Pyrialakos, J Pilka, M Kwasny… - Chaos, Solitons & …, 2023 - Elsevier
… Here we show that the interplay between nonlocal nonlinear light–matter attraction and
repulsion can lead to novel types of solutions in two spatial dimensions. We find unusual new …

Physically significant nonlocal nonlinear Schrödinger equation and its soliton solutions

J Yang - Physical Review E, 2018 - APS
… For this integrable nonlocal equation, we will further study its bright solitons and multisolitons
in the framework of Riemann-Hilbert formulation (which is a modern treatment of the …

Higher-dimensional vector two-component solitons of a nonautonomous partially nonlocal coupled NLS model in a linear and harmonic potential

HY Chen, HP Zhu - Nonlinear Dynamics, 2023 - Springer
… (\(2 +1\))D nonlocal vector solitons and breathers in the nonautonomous PNL media under
the external potentials were reported [23, 24]. The management of (\(3 +1\))D nonlocal scalar …

Two-dimensional multisolitons and azimuthons in Bose-Einstein condensates

VM Lashkin - Physical Review A—Atomic, Molecular, and Optical …, 2008 - APS
… stability analysis, of two-dimensional 2D vortices in attractive … be stable in media with a
nonlocal nonlinear response 6–10 . … rotating azimuthon multisolitons in the two-dimensional BEC …