44 citations · 176 across the 20 of their papers we have counts for
7 papers · 1 filter
Spatiotemporal dynamics in a twisted, circular waveguide array
Ross Parker, Yannan Shen, Alejandro Aceves +1
We consider the existence and spectral stability of nonlinear discrete localized solutions representing light pulses propagating in a twisted multi-core optical fiber. By consideri…
From Solitons to Rogue Waves in Nonlinear Left-Handed Metamaterials
Yannan Shen, P. G. Kevrekidis, G. P. Veldes +4
In the present work, we explore soliton and rogue-like wave solutions in the transmission line analogue of a nonlinear left-handed metamaterial. The nonlinearity is expressed throu…
Characterizing Traveling Wave Collisions in Granular Chains Starting from Integrable Limits: the case of the KdV and the Toda Lattice
Y. Shen, P. G. Kevrekidis, S. Sen +1
Our aim in the present work is to develop approximations for the collisional dynamics of traveling waves in the context of granular chains in the presence of precompression. To tha…
Traveling waves of the regularized short pulse equation
Y. Shen, T. P. Horikis, P. G. Kevrekidis +1
In the present work, we revisit the so-called regularized short pulse equation (RSPE) and, in particular, explore the traveling wave solutions of this model. We theoretically analy…
Ultrashort pulses and short-pulse equations in dimensions
Y. Shen, N. Whitaker, P. G. Kevrekidis +2
In this paper, we derive and study two versions of the short pulse equation (SPE) in dimensions. Using Maxwell's equations as a starting point, and suitable Kramers-Kronig…
Finite-temperature dynamics of matter-wave dark solitons in linear and periodic potentials: an example of an anti-damped Josephson junction
Y. Shen, P. G. Kevrekidis, N. Whitaker +2
We study matter-wave dark solitons in atomic Bose-Einstein condensates at finite temperatures, under the effect of linear and periodic potentials. Our model, namely a dissipative G…
Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
N. L. Tsitsas, T. P. Horikis, Y. Shen +3
We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. In the frequency "band gaps" (where line…