2 papers
math.AP2021
Ground States in Spatially Discrete Nonlinear Schrödinger Lattices
Atanas G. Stefanov, Ryan M. Ross, Panayotis G. Kevrekidis
In his seminal work, Weinstein considered the question of the ground states for discrete Schrödinger equations with power law nonlinearities, posed on . More specifi…
math-ph2018
ϕ^4 Solitary Waves in a Parabolic Potential: Existence, Stability, and Collisional Dynamics
R. M. Ross, P. G. Kevrekidis, D. K. Campbell +2
We explore a ϕ^4 model with an added external parabolic potential term. This term dramatically alters the spectral properties of the system. We identify single and multiple kink so…