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Dynamical barrier for the formation of solitary waves in discrete lattices

Lookup NU author(s): Dr Yannis Drossinos

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Abstract

We consider the problem of the existence of a dynamical barrier of "mass" that needs to be excited on a lattice site to lead to the formation and subsequent persistence of localized modes for a nonlinear Schrödinger lattice. We contrast the existence of a dynamical barrier with its absence in the static theory of localized modes in one spatial dimension. We suggest an energetic criterion that provides a sufficient, but not necessary, condition on the amplitude of a single-site initial condition required to form a solitary wave. We show that this effect is not one-dimensional by considering its two-dimensional analog. The existence of a sufficient condition for the excitation of localized modes in the non-integrable, discrete, nonlinear Schrödinger equation is compared to the dynamics of excitations in the integrable, both discrete and continuum, version of the nonlinear Schrödinger equation. © 2007 Elsevier B.V. All rights reserved.

Publication metadata

Author(s): Kevrekidis PG, Espinola-Rocha JA, Drossinos Y, Stefanov A

Publication type: Article

Publication status: Published

Journal: Physics Letters, Section A: General, Atomic and Solid State Physics

Year: 2008

Volume: 372

Issue: 13

Pages: 2247-2253

ISSN (print): 0375-9601

ISSN (electronic):

Publisher: Elsevier BV

URL: http://dx.doi.org/10.1016/j.physleta.2007.11.029

DOI: 10.1016/j.physleta.2007.11.029

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