26 citations · 71 across the 14 of their papers we have counts for
5 papers · 1 filter
Asymptotic stability of small solitons in the discrete nonlinear Schrodinger equation in one dimension
P. G. Kevrekidis, D. E. Pelinovsky, A. Stefanov
Asymptotic stability of small solitons in one dimension is proved in the framework of a discrete nonlinear Schrodinger equation with septic and higher power-law nonlinearities and…
Stability of discrete dark solitons in nonlinear Schrodinger lattices
D. E. Pelinovsky, P. G. Kevrekidis
We obtain new results on the stability of discrete dark solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrodinger equation, following the analysis of…
Symmetry breaking bifurcation in Nonlinear Schrodinger /Gross-Pitaevskii Equations
E. W. Kirr, P. G. Kevrekidis, E. Shlizerman +1
We consider a class of nonlinear Schrodinger / Gross-Pitaveskii (NLS-GP) equations, i.e. NLS with a linear potential. We obtain conditions for a symmetry breaking bifurcation in a…
Asymptotic Calculation of Discrete Nonlinear Wave Interactions
P. G. Kevrekidis, Avinash Khare, A. Saxena +2
We illustrate how to compute asymptotic interactions between discrete solitary waves of dispersive equations, using the approach proposed by Manton [Nucl. Phys. B 150, 397 (1979)].…
Breathers on a Background: Periodic and Quasiperiodic Solutions of Extended Discrete Nonlinear Wave Systems
P. G. Kevrekidis, M. I. Weinstein
In this paper we investigate the emergence of time-periodic and and time-quasiperiodic (sometimes infinitely long lived and sometimes very long lived or metastable) solutions of di…