1. Αποθετήριο Παραδοτέων Υποτρόφων Δράσεων ΕΣΠΑ Τριτοβάθμιας Εκπαίδευσης 2017-2023
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3. Ερευνητικές ομάδες

Τύπος:	Ανακοίνωση σε συνέδριο
Τίτλος:	Excitation of Peregrine-type waveforms from vanishing initial conditions in the presence of periodic forcing
Συγγραφέας:	[EL] Βέτας, Κωνσταντίνος[EN] Vetas, Konstantinos
Ημερομηνία:	20/06/2019
Περίληψη:	We show by direct numerical simulations that spatiotemporally localized wave forms, strongly reminiscent of the Peregrine rogue wave, can be excited by vanishing initial conditions for the periodically driven nonlinear Schrödinger equation. The emergence of the Peregrine-type waveforms can be potentially justified, in terms of the existence and modulational instability of spatially homogeneous solutions of the model, and the continuous dependence of the localized initial data for small time intervals. We also comment on the persistence of the above dynamics, under the presence of small damping effects, and justify, that this behavior should be considered as far from approximations of the corresponding integrable limit. Extensions to higher order models are also touched upon.
Γλώσσα:	Αγγλικά
Τόπος δημοσίευσης:	Chania, Crete, Greece
Σελίδες:	1
Θεματική κατηγορία:	[EL] Μαθηματική φυσική[EN] Mathematical Physics
Λέξεις-κλειδιά:	Forced Nonlinear Schrödinger Equation; Time-periodic driver; Rogue Waves; vanishing initial conditions; modulational instability; Peregrine Soliton
Κάτοχος πνευματικών δικαιωμάτων:	© Copyright 2019 by ISAST: International Society for the Advancement of Science and Technology.
Όροι και προϋποθέσεις δικαιωμάτων:	All rights reserved. No part of this publication may be reproduced, stored, retrieved or transmitted, in any form or by any means, without the written permission of the publisher, nor be otherwise circulated in any form of binding or cover.
Διατίθεται ανοιχτά στην τοποθεσία:	http://www.cmsim.org/images/CHAOS_2019_BoA_Final_version.pdf
Ηλεκτρονική διεύθυνση του τεκμηρίου στον εκδότη:	http://www.cmsim.org/images/CHAOS_2019_BoA_Final_version.pdf
Τίτλος πηγής δημοσίευσης:	Book of Abstracts of the 12th Chaotic Modeling and Simulation International Conference
Όνομα εκδήλωσης:	12 th Chaotic Modeling and Simulation International Conference with Quantum Complexity and Nanotechnology Symposium
Τοποθεσία εκδήλωσης:	Chania, Crete, Greece
Ημ/νία έναρξης εκδήλωσης:	18/06/2019
Ημ/νία λήξης εκδήλωσης:	22/06/2019
Σημειώσεις:	Conference site: http://www.cmsim.org/chaos2019.html This research is co-financed by Greece and the European Union (European Social Fund – ESF) through the Operational Programme (Human Resources Development, Education and Lifelong Learning 2014–2020) in the context of the project “Localized and quasiperiodic solutions for partial differential equations: Dynamical paths from mathematical ecology to nonlinear physics” (MIS 5004244).
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