130 citations · 550 across the 53 of their papers we have counts for
Showing 2008Show all
2 papers · 1 filter
nlin.PS2008
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…
math-ph2008★ 50 cited
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension
D. E. Pelinovsky, A. Stefanov
Based on the recent work \cite{KKK} for compact potentials, we develop the spectral theory for the one-dimensional discrete Schrödinger operator $$ H ϕ= (-\De + V)ϕ=-(ϕ_{n+1} + ϕ_{…