Journal article
One-parameter localized traveling waves in nonlinear Schrödinger lattices
Abstract
We address the existence of traveling single-humped localized solutions in the spatially discrete nonlinear Schrödinger (NLS) equation. A mathematical technique is developed for analysis of persistence of these solutions from a certain limit in which the dispersion relation of linear waves contains a triple zero. The technique is based on using the Implicit Function Theorem for solution of an appropriate differential advance–delay equation in …
Authors
Pelinovsky DE; Melvin TRO; Champneys AR
Journal
Physica D Nonlinear Phenomena, Vol. 236, No. 1, pp. 22–43
Publisher
Elsevier
Publication Date
December 2007
DOI
10.1016/j.physd.2007.07.010
ISSN
0167-2789