The dynamics of coupled perturbed discretized NLS equations

Vassilios M. Rothos, Tassos C. Bountis

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)326-330
Number of pages5
JournalPhysica D: Nonlinear Phenomena
Volume113
Issue number2-4
Publication statusPublished - 1998
Externally publishedYes

Fingerprint

NLS Equation
Spectrum analysis
Orbits
Boundary conditions
Lax Pair
Homoclinic Orbit
Discrete Equations
Periodic Boundary Conditions
Spectral Analysis
Coupled System
spectrum analysis
boundary conditions
Perturbation
orbits
operators
perturbation
Operator
Class

Keywords

  • Coupled discrete Nonlinear Schrödinger equations
  • Mel'nikov theory

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Rothos, V. M., & Bountis, T. C. (1998). The dynamics of coupled perturbed discretized NLS equations. Physica D: Nonlinear Phenomena, 113(2-4), 326-330.

The dynamics of coupled perturbed discretized NLS equations. / Rothos, Vassilios M.; Bountis, Tassos C.

In: Physica D: Nonlinear Phenomena, Vol. 113, No. 2-4, 1998, p. 326-330.

Research output: Contribution to journalArticle

Rothos, VM & Bountis, TC 1998, 'The dynamics of coupled perturbed discretized NLS equations', Physica D: Nonlinear Phenomena, vol. 113, no. 2-4, pp. 326-330.
Rothos, Vassilios M. ; Bountis, Tassos C. / The dynamics of coupled perturbed discretized NLS equations. In: Physica D: Nonlinear Phenomena. 1998 ; Vol. 113, No. 2-4. pp. 326-330.
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