113 citations · 1k across the 43 of their papers we have counts for
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Pairwise Interactions of Ring Dark Solitons with Vortices and other Rings: Stationary States, Stability Features and Nonlinear Dynamics
Wenlong Wang, Theodore Kolokolnikov, D. J. Frantzeskakis +2
In the present work, we explore analytically and numerically the co-existence and interactions of ring dark solitons (RDSs) with other RDSs, as well as with vortices. The azimuthal…
A direct derivation of the dark soliton excitation energy
Li-Chen Zhao, Yan-Hong Qin, Wenlong Wang +1
Dark solitons are common topological excitations in a wide array of nonlinear waves. The dark soliton excitation energy, crucial for exploring dark soliton dynamics, is necessarily…
Spectral and dynamical analysis of a single vortex ring in anisotropic harmonically trapped three-dimensional Bose-Einstein condensates
Christopher Ticknor, Wenlong Wang, P. G. Kevrekidis
In the present work, motivated by numerous recent experimental developments we revisit the dynamics of a single vortex ring in anisotropic harmonic traps. At the theoretical level,…
Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics
Wenlong Wang, R. N. Bisset, C. Ticknor +4
In the present work, we explore the existence, stability and dynamics of single and multiple vortex ring states that can arise in Bose-Einstein condensates. Earlier works have illu…
An Adiabatic Invariant Approach to Transverse Instability: Landau Dynamics of Soliton Filaments
P. G. Kevrekidis, Wenlong Wang, R. Carretero-Gonzalez +1
Assume a lower-dimensional solitonic structure embedded in a higher dimensional space, e.g., a 1D dark soliton embedded in 2D space, a ring dark soliton in 2D space, a spherical sh…
-induced breathing patterns in multi-component Bose-Einstein condensates
E. G. Charalampidis, Wenlong Wang, P. G. Kevrekidis +2
In this work, we employ the -rotations of a two-component, one-, two- and three-dimensional nonlinear Schrödinger system at and near the Manakov limit, to construct vector s…
Transitions From Order to Disorder in Multi-Dark and Multi-Dark-Bright Soliton Atomic Clouds
Wenlong Wang, P. G. Kevrekidis
We have performed a systematic study quantifying the variation of solitary wave behavior from that of an ordered cloud resembling a "crystalline" configuration to that of a disorde…