3 papers
math.AP2017
Solitary Waves and Dynamics for Subcritical Perturbations of Energy Critical NLS
Matt Coles, Stephen Gustafson
We consider a perturbed energy critical focusing Nonlinear Schrödinger Equation in three dimensions. We construct solitary wave solutions for focusing subcritical perturbations as…
math.AP2015
A Degenerate Edge Bifurcation in the 1D Linearized Nonlinear Schrodinger Equation
Matt Coles, Stephen Gustafson
This work deals with the focusing Nonlinear Schrodinger Equation in one dimension with pure-power nonlinearity near cubic. We consider the spectrum of the linearized operator abou…
nlin.PS2009
Excited states in the Thomas-Fermi limit: a variational approach
M. Coles, D. E. Pelinovsky, P. G. Kevrekidis
Excited states of Bose--Einstein condensates are considered in the semi-classical (Thomas-Fermi) limit of the Gross--Pitaevskii equation with repulsive inter-atomic interactions an…