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 language | English |
|---|---|
| Pages (from-to) | 326-330 |
| Number of pages | 5 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 113 |
| Issue number | 2-4 |
| Publication status | Published - 1998 |
| Externally published | Yes |
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Keywords
- Coupled discrete Nonlinear Schrödinger equations
- Mel'nikov theory
ASJC Scopus subject areas
- Applied Mathematics
- Statistical and Nonlinear Physics
Cite this
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 journal › Article
}
TY - JOUR
T1 - The dynamics of coupled perturbed discretized NLS equations
AU - Rothos, Vassilios M.
AU - Bountis, Tassos C.
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
UR - http://www.scopus.com/inward/record.url?scp=4243938217&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4243938217&partnerID=8YFLogxK
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 -