Vortex solitons: Old results and new perspectives
BA Malomed - Physica D: Nonlinear Phenomena, 2019 - Elsevier
A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …
Multidimensional solitons: Well-established results and novel findings
BA Malomed - The European Physical Journal Special Topics, 2016 - Springer
A brief review is given of some well-known and some very recent results obtained in studies
of two-and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) …
of two-and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) …
[BOOK][B] Topological and non-topological solitons in scalar field theories
YM Shnir - 2018 - books.google.com
Solitons emerge in various non-linear systems as stable localized configurations, behaving
in many ways like particles, from non-linear optics and condensed matter to nuclear physics …
in many ways like particles, from non-linear optics and condensed matter to nuclear physics …
Stable solitons in three dimensional free space without the ground state: self-trapped Bose-Einstein condensates with spin-orbit coupling
By means of variational methods and systematic numerical analysis, we demonstrate the
existence of metastable solitons in three dimensional (3D) free space, in the context of …
existence of metastable solitons in three dimensional (3D) free space, in the context of …
Stationary ring solitons in field theory—knots and vortons
E Radu, MS Volkov - Physics Reports, 2008 - Elsevier
We review the current status of the problem of constructing classical field theory solutions
describing stationary vortex rings in Minkowski space in 3+ 1 dimensions. We describe the …
describing stationary vortex rings in Minkowski space in 3+ 1 dimensions. We describe the …
Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+ 1)-dimensional KdV–Calogero–Bogoyavlenkskii–Schiff equation
G Xu, Y Liu, W Cui - Applied Mathematics Letters, 2022 - Elsevier
In this letter a novel (4+ 1)-dimensional KdV–Calogero–Bogoyavlenkskii–Schiff (KdV-CBS)
equation is investigated. The Painlevé analysis shows that this higher dimensional …
equation is investigated. The Painlevé analysis shows that this higher dimensional …
New global defect structures
We investigate the presence of defects in systems described by real scalar field in (D, 1)
spacetime dimensions. We show that when the potential assumes specific form, there are …
spacetime dimensions. We show that when the potential assumes specific form, there are …
Three-dimensional solitons supported by the spin–orbit coupling and Rydberg–Rydberg interactions in PT-symmetric potentials
Y Zhao, Q Huang, T Gong, S Xu, Z Li… - Chaos, Solitons & …, 2024 - Elsevier
Excited states (ESs) of two-and three-dimensional (2D and 3D) solitons of the semivortex
(SV) and mixed-mode (MM) types, supported by the interplay of the spin–orbit coupling …
(SV) and mixed-mode (MM) types, supported by the interplay of the spin–orbit coupling …
[HTML][HTML] Nonlinear complex dynamical analysis and solitary waves for the (3+ 1)-D nonlinear extended quantum Zakharov–Kuznetsov equation
This manuscript is a captivating exploration of the (3+ 1)-D nonlinear extended Quantum
Zakharov–Kuznetsov (NLEQZK) equation, revealing its complex dynamics and solitary wave …
Zakharov–Kuznetsov (NLEQZK) equation, revealing its complex dynamics and solitary wave …
Twisted toroidal vortex solitons in inhomogeneous media with repulsive nonlinearity
Toroidal modes in the form of so-called Hopfions, with two independent winding numbers, a
hidden one (twist s), which characterizes a circular vortex thread embedded into a three …
hidden one (twist s), which characterizes a circular vortex thread embedded into a three …