On the reflection of solitons of the cubic nonlinear Schrödinger equation

Handle URI:
http://hdl.handle.net/10754/619215
Title:
On the reflection of solitons of the cubic nonlinear Schrödinger equation
Authors:
Katsaounis, Theodoros ( 0000-0001-7387-7987 ) ; Mitsotakis, Dimitrios
Abstract:
In this paper, we perform a numerical study on the interesting phenomenon of soliton reflection of solid walls. We consider the 2D cubic nonlinear Schrödinger equation as the underlying mathematical model, and we use an implicit-explicit type Crank-Nicolson finite element scheme for its numerical solution. After verifying the perfect reflection of the solitons on a vertical wall, we present the imperfect reflection of a dark soliton on a diagonal wall.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Katsaounis T, Mitsotakis D (2016) On the reflection of solitons of the cubic nonlinear Schrödinger equation. Mathematical Methods in the Applied Sciences. Available: http://dx.doi.org/10.1002/mma.4070.
Publisher:
Wiley-Blackwell
Journal:
Mathematical Methods in the Applied Sciences
Issue Date:
5-Jul-2016 ; 5-Jul-2016
DOI:
10.1002/mma.4070
ARXIV:
https://arxiv.org/abs/1602.04424; arXiv:1602.04424
Type:
Article
ISSN:
0170-4214
Sponsors:
Victoria University of Wellington[208964]
Additional Links:
https://arxiv.org/abs/1602.04424
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorKatsaounis, Theodorosen
dc.contributor.authorMitsotakis, Dimitriosen
dc.date.accessioned2016-09-01T10:30:41Z-
dc.date.available2016-09-01T10:30:41Z-
dc.date.issued2016-07-05-
dc.date.issued2016-07-05en
dc.identifier.citationKatsaounis T, Mitsotakis D (2016) On the reflection of solitons of the cubic nonlinear Schrödinger equation. Mathematical Methods in the Applied Sciences. Available: http://dx.doi.org/10.1002/mma.4070.en
dc.identifier.issn0170-4214en
dc.identifier.doi10.1002/mma.4070en
dc.identifier.urihttp://hdl.handle.net/10754/619215-
dc.description.abstractIn this paper, we perform a numerical study on the interesting phenomenon of soliton reflection of solid walls. We consider the 2D cubic nonlinear Schrödinger equation as the underlying mathematical model, and we use an implicit-explicit type Crank-Nicolson finite element scheme for its numerical solution. After verifying the perfect reflection of the solitons on a vertical wall, we present the imperfect reflection of a dark soliton on a diagonal wall.en
dc.description.sponsorshipVictoria University of Wellington[208964]en
dc.language.isoenen
dc.publisherWiley-Blackwellen
dc.relation.urlhttps://arxiv.org/abs/1602.04424en
dc.subjectDark and bright solitonsen
dc.subjectNonlinear Schrödinger equationen
dc.subjectRelaxation methoden
dc.subjectSoliton reflectionen
dc.titleOn the reflection of solitons of the cubic nonlinear Schrödinger equationen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalMathematical Methods in the Applied Sciencesen
dc.contributor.institutionIACM, FORTH; Heraklion Greeceen
dc.contributor.institutionSchool of Mathematics and Statistics; Victoria University of Wellington; PO Box 600 Wellington 6140 New Zealanden
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
dc.identifier.arxividhttps://arxiv.org/abs/1602.04424-
dc.identifier.arxividarXiv:1602.04424en
kaust.authorKatsaounis, Theodorosen
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