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 …
The dynamic characteristics of pure-quartic solitons and soliton molecules
X Liu, H Zhang, W Liu - Applied Mathematical Modelling, 2022 - Elsevier
Pure-quartic solitons (PQSs) with higher energy in short pulse width have been generated in
the mode-locked fiber laser recently, and soliton molecules have been found as a means to …
the mode-locked fiber laser recently, and soliton molecules have been found as a means to …
[HTML][HTML] Soliton molecules in Sharma–Tasso–Olver–Burgers equation
Z Yan, S Lou - Applied Mathematics Letters, 2020 - Elsevier
Soliton molecules which are the bound states of solitons have been experimentally
discovered in optics and theoretically investigated for coupled systems. This Letter is …
discovered in optics and theoretically investigated for coupled systems. This Letter is …
[图书][B] The defocusing nonlinear Schrödinger equation: from dark solitons to vortices and vortex rings
PG Kevrekidis, DJ Frantzeskakis… - 2015 - SIAM
The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …
Multiple dark-bright solitons in atomic Bose-Einstein condensates
D Yan, JJ Chang, C Hamner, PG Kevrekidis… - Physical Review A …, 2011 - APS
Motivated by recent experimental results, we present a systematic theoretical analysis of
dark-bright-soliton interactions and multiple-dark-bright-soliton complexes in atomic two …
dark-bright-soliton interactions and multiple-dark-bright-soliton complexes in atomic two …
Beating dark–dark solitons in Bose–Einstein condensates
Motivated by recent experimental results, we study beating dark–dark (DD) solitons as a
prototypical coherent structure that emerges in two-component Bose–Einstein condensates …
prototypical coherent structure that emerges in two-component Bose–Einstein condensates …
A novel (2+ 1)-dimensional integrable KdV equation with peculiar solution structures
SY Lou - Chinese Physics B, 2020 - iopscience.iop.org
Abstract The celebrated (1+ 1)-dimensional Korteweg de–Vries (KdV) equation and its (2+
1)-dimensional extension, the Kadomtsev–Petviashvili (KP) equation, are two of the most …
1)-dimensional extension, the Kadomtsev–Petviashvili (KP) equation, are two of the most …
Stable High‐Dimensional Weak‐Light Soliton Molecules and Their Active Control
L Qin, C Hang, BA Malomed… - Laser & Photonics …, 2022 - Wiley Online Library
Bound states of solitons, alias soliton molecules (SMs), are well known in 1D systems, while
making stable bound states of multidimensional solitons is a challenging problem because …
making stable bound states of multidimensional solitons is a challenging problem because …
Soliton molecules in dipolar Bose-Einstein condensates
Dipolar interactions support the formation of intersite soliton molecules in a stack of quasi-
one-dimensional (quasi-1D) traps. We show that the stability and properties of individual …
one-dimensional (quasi-1D) traps. We show that the stability and properties of individual …
D'Alembert wave, the Hirota conditions and soliton molecule of a new generalized KdV equation
H Ma, S Yue, A Deng - Journal of Geometry and Physics, 2022 - Elsevier
Abstract A (2+ 1)-dimensional new generalized Korteweg-de Vries (ngKdV) equation is
educed from a bilinear differential equation by combining the logarithmic transformation u= 2 …
educed from a bilinear differential equation by combining the logarithmic transformation u= 2 …