6 citations · 7 across the 3 of their papers we have counts for
3 papers
nlin.PS2023★ 1 cited
Standing and Traveling Waves in a Nonlinearly Dispersive Lattice Model
Ross Parker, Pierre Germain, Jesús Cuevas-Maraver +2
In the work of Colliander et al. (2010), a minimal lattice model was constructed describing the transfer of energy to high frequencies in the defocusing nonlinear Schrödinger equat…
math.CA2023
Localization and global dynamics in the long-range discrete nonlinear Schrödinger equation
Brian Choi, Austin Marstaller, Alejandro Aceves
We study localization, pinning, and mobility in the fractional discrete nonlinear Schrödinger equation (fDNLS) with generalized power-law coupling. A finite-dimensional spatial-dyn…
math.DS2021★ 6 cited
Standing Wave Solutions in Twisted Multicore Fibers
Ross Parker, Alejando Aceves
In the present work, we consider the existence and spectral stability of standing wave solutions to a model for light propagation in a twisted multi-core fiber with no gain or loss…