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|Title:||Dynamical Barrier for the Formation of Solitary Waves in Discrete Lattices|
|Authors:||KEVREKIDIS P. G.; ESPINOLA-ROCHA J. A.; DROSSINOS IOANNIS; STEFANOV A.|
|Citation:||PHYSICS LETTERS A vol. 372 p. 2247-2253|
|Publisher:||ELSEVIER SCIENCE BV|
|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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