TY - JOUR
T1 - The dynamics of coupled perturbed discretized NLS equations
AU - Rothos, Vassilios M.
AU - Bountis, Tassos C.
N1 - Funding Information:
V.M. Rothos wishes to thank Prof. D.W. McLaughlin and Dr. Cl. Haller for useful discussions. This research was partially supported by the State Scholarships Foundation (SSF) of Greece, a l?EN.ED grant from the Greek Secretariat of Research and Technology of the Greek Ministry of Industry, Energy and Technology and a HCM, Project of the EU, no. CTRX-CT93-033 1.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 1998
Y1 - 1998
N2 - We study the dynamics of two coupled perturbed discretized NLS equations with periodic boundary conditions. The unperturbed system consists of two integrable discrete NLS equations, for which the corresponding Lax pairs are known. We describe here the homoclinic orbits of the coupled system and give new results for a class of non-integrable perturbations through a Mel'nikov type approach, using the spectral analysis of Lax's operators and Fenichel's theory.
AB - We study the dynamics of two coupled perturbed discretized NLS equations with periodic boundary conditions. The unperturbed system consists of two integrable discrete NLS equations, for which the corresponding Lax pairs are known. We describe here the homoclinic orbits of the coupled system and give new results for a class of non-integrable perturbations through a Mel'nikov type approach, using the spectral analysis of Lax's operators and Fenichel's theory.
KW - Coupled discrete Nonlinear Schrödinger equations
KW - Mel'nikov theory
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U2 - 10.1016/S0167-2789(97)00285-6
DO - 10.1016/S0167-2789(97)00285-6
M3 - Article
AN - SCOPUS:4243938217
VL - 113
SP - 326
EP - 330
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 2-4
ER -