Please use this identifier to cite or link to this item: http://hdl.handle.net/2307/408
Title: Multiscale techniques for nonlinear difference equations
Authors: Scimiterna, Christian
metadata.dc.contributor.advisor: Ragnisco, Orlando
Keywords: integrable systems
partial difference equations
nonlinear discrete systems
perturbative techniques
multiscale reduction
integrability test
Issue Date: 3-Feb-2009
Publisher: Università degli studi Roma Tre
Abstract: The aim of this thesis is the development of a multiscale reductive perturbation technique for discrete systems, that is systems described by partial difference equations. A guiding principle in such a programme should certainly be the requirement, if one starts from an integrable model, to maintain this integrability property for the reduced models. So, if for an integrable system the reduced equations should always be at all perturbative orders integrable (a member of an integrable hierarchy), for a nonintegrable one the result could be, up to any finite order, either integrable or not. Anyway for a nonintegrable system there should always exist an order at which we obtain a nonintegrable equation. Thus a properly developed multiscale technique should provide us as a by-product, besides approximate solutions to our equations of motion, an integrability test capable in principle to recognize a nonintegrable system.
URI: http://hdl.handle.net/2307/408
Appears in Collections:X_Dipartimento di Fisica 'Edoardo Amaldi'
T - Tesi di dottorato

Files in This Item:
File Description SizeFormat
Tesi.pdf785.05 kBAdobe PDFView/Open
SFX Query Show full item record Recommend this item

Page view(s)

9
checked on Aug 8, 2020

Download(s)

2
checked on Aug 8, 2020

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.