7 papers
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…
Rabi switch of condensate wavefunctions in a multicomponent Bose gas
H. E. Nistazakis, Z. Rapti, D. J. Frantzeskakis +3
Using a time-dependent linear (Rabi) coupling between the components of a weakly interacting multicomponent Bose-Einstein condensate (BEC), we propose a protocol for transferring t…
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…
Highly Nonlinear Solitary Waves in Heterogeneous Periodic Granular Media
Mason A. Porter, Chiara Daraio, Ivan Szelengowicz +2
We use experiments, numerical simulations, and theoretical analysis to investigate the propagation of highly nonlinear solitary waves in periodic arrangements of dimer (two-mass) a…
Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity
F. Palmero, R. Carretero-González, J. Cuevas +2
In this paper we analyze the existence, stability, dynamical formation and mobility properties of localized solutions in a one-dimensional system described by the discrete nonlinea…