26 citations · 71 across the 14 of their papers we have counts for
3 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…
High-speed kinks in a generalized discrete model
Sergey V. Dmitriev, Avinash Khare, Panayotis G. Kevrekidis +2
We consider a generalized discrete model and demonstrate that it can support exact moving kink solutions in the form of tanh with an arbitrarily large velocity. The construct…
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…