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Article: The evolution of periodic waves of the coupled nonlinear Schrödinger equations

TitleThe evolution of periodic waves of the coupled nonlinear Schrödinger equations
Authors
Tsang, SCChow, KW
KeywordsCoupled Nonlinear Schrödinger Equations
Hopscotch Method
Periodic Waves
Issue Date2004
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/matcom
Citation
Mathematics And Computers In Simulation, 2004, v. 66 n. 6, p. 551-564 How to Cite?
DOI: http://dx.doi.org/10.1016/j.matcom.2004.04.002
AbstractSystems of coupled nonlinear Schrödinger equations (CNLS) arise in several branches of physics, e.g., hydrodynamics and nonlinear optics. The Hopscotch method is applied to solve CNLS numerically. The algorithm is basically a finite difference method but with a special procedure for marching forward in time. The accuracy of the scheme is ensured as the system is proved to satisfy certain conserved quantities. Physically, the goal is to study the effects of an initial phase difference on the evolution of periodic, plane waves. The outcome will depend on the precise nature of the cubic nonlinearity, or in physical terms, the nature of polarization in optical applications. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156812
ISSN
0378-4754
2021 Impact Factor: 3.601
2020 SCImago Journal Rankings: 0.541
ISI Accession Number ID
WOS:000223330600009
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorTsang, SCen_US
dc.contributor.authorChow, KWen_US
dc.date.accessioned2012-08-08T08:44:04Z-
dc.date.available2012-08-08T08:44:04Z-
dc.date.issued2004en_US
dc.identifier.citationMathematics And Computers In Simulation, 2004, v. 66 n. 6, p. 551-564en_US
dc.identifier.issn0378-4754en_US
dc.identifier.urihttp://hdl.handle.net/10722/156812-
dc.description.abstractSystems of coupled nonlinear Schrödinger equations (CNLS) arise in several branches of physics, e.g., hydrodynamics and nonlinear optics. The Hopscotch method is applied to solve CNLS numerically. The algorithm is basically a finite difference method but with a special procedure for marching forward in time. The accuracy of the scheme is ensured as the system is proved to satisfy certain conserved quantities. Physically, the goal is to study the effects of an initial phase difference on the evolution of periodic, plane waves. The outcome will depend on the precise nature of the cubic nonlinearity, or in physical terms, the nature of polarization in optical applications. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/matcomen_US
dc.relation.ispartofMathematics and Computers in Simulationen_US
dc.rightsMathematics and Computers in Simulation. Copyright © Elsevier BV.-
dc.subjectCoupled Nonlinear Schrödinger Equationsen_US
dc.subjectHopscotch Methoden_US
dc.subjectPeriodic Wavesen_US
dc.titleThe evolution of periodic waves of the coupled nonlinear Schrödinger equationsen_US
dc.typeArticleen_US
dc.identifier.emailChow, KW:kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.matcom.2004.04.002en_US
dc.identifier.scopuseid_2-s2.0-3142686141en_US
dc.identifier.hkuros98219-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-3142686141&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume66en_US
dc.identifier.issue6en_US
dc.identifier.spage551en_US
dc.identifier.epage564en_US
dc.identifier.isiWOS:000223330600009-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridTsang, SC=7102255919en_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.issnl0378-4754-

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