Title: Dynamical Barrier for the Formation of Solitary Waves in Discrete Lattices
Authors: KEVREKIDIS P. G.ESPINOLA-ROCHA J. A.DROSSINOS IOANNISSTEFANOV A.
Citation: PHYSICS LETTERS A vol. 372 p. 2247-2253
Publisher: ELSEVIER SCIENCE BV
Publication Year: 2008
JRC N°: JRC42718
ISSN: 0375-9601
URI: http://dx.doi.org/10.1016/j.physleta.2007.11.029
http://publications.jrc.ec.europa.eu/repository/handle/JRC42718
DOI: 10.1016/j.physleta.2007.11.029
Type: Articles in Journals
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 Schrodinger 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 Schrodinger equation is compared to the dynamics of excitations in the integrable, both discrete and continuum, version of the nonlinear Schrodinger equation.
JRC Institute:Institute for Environment and Sustainability

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