114 citations · 297 across the 23 of their papers we have counts for
9 papers · 1 filter
Standing and Traveling Waves in a Model of Periodically Modulated One-dimensional Waveguide Arrays
Ross Parker, Jesús Cuevas-Maraver, P. G. Kevrekidis +1
In the present work, we study coherent structures in a one-dimensional discrete nonlinear Schrödinger lattice in which the coupling between waveguides is periodically modulated. Nu…
Quartic Kerr cavity combs: Bright and dark solitons
Pedro Parra-Rivas, Sabrina Hetzel, Yaroslav V. Kartashov +4
We theoretically investigate the dynamics, bifurcation structure and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the norma…
Revisiting Multi-breathers in the discrete Klein-Gordon equation: A Spatial Dynamics Approach
Ross Parker, Jesús Cuevas-Maraver, P. G. Kevrekidis +1
We consider the existence and spectral stability of multi-breather structures in the discrete Klein-Gordon equation, both for soft and hard symmetric potentials. To obtain analytic…
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…
Floquet solitons in square lattices: Existence, Stability and Dynamics
Ross Parker, Jesús Cuevas-Maraver, P. G. Kevrekidis +1
In the present work, we revisit a recently proposed and experimentally realized topological 2D lattice with periodically time-dependent interactions. We identify the fundamental so…
Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation
Ross Parker, Alejandro Aceves
In the present work, we consider the existence and spectral stability of multi-pulse solitary wave solutions to a nonlinear Schrödinger equation with both fourth and second order d…