Super-exponential decay of Diffraction Managed Solitons

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dc.creatorHundertmark, Dirk
dc.creatorLee, Young-Ran
dc.date2008-04-23
dc.date.accessioned2026-07-07T09:34:19Z
dc.date.available2026-07-07T09:34:19Z
dc.descriptionThis is the second part of a series of papers where we develop rigorous decay estimates for breather solutions of an averaged version of the non-linear Schrödinger equation. In this part we study the diffraction managed discrete non-linear Schrödinger equation, an equation which describes coupled waveguide arrays with periodic diffraction management geometries. We show that, for vanishing average diffraction, all solutions of the non-linear and non-local diffraction management equation decay super-exponentially. As a byproduct of our method, we also have a simple proof of existence of diffraction managed solitons in the case of vanishing average diffraction.
dc.description29 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0804.3783
dc.identifierhttp://arxiv.org/abs/0804.3783
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159450
dc.subjectMathematical Physics
dc.subject35Q55; 37K40
dc.titleSuper-exponential decay of Diffraction Managed Solitons
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