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Article: The Dynamics of Pole Trajectories in the Complex Plane and Peregrine Solitons for Higher-Order Nonlinear Schrödinger Equations: Coherent Coupling and Quintic Nonlinearity

TitleThe Dynamics of Pole Trajectories in the Complex Plane and Peregrine Solitons for Higher-Order Nonlinear Schrödinger Equations: Coherent Coupling and Quintic Nonlinearity
Authors
Keywordsquintic nonlinearity
coherent coupling
pole trajectories
rogue waves
nonlinear Schrödinger equations
Issue Date2020
PublisherFrontiers Research Foundation. The Journal's web site is located at http://www.frontiersin.org/physics/
Citation
Frontiers in Physics, 2020, v. 8, p. article no. 581662 How to Cite?
AbstractThe Peregrine soliton is an exact, rational, and localized solution of the nonlinear Schrödinger equation and is commonly employed as a model for rogue waves in physical sciences. If the transverse variable is allowed to be complex by analytic continuation while the propagation variable remains real, the poles of the Peregrine soliton travel down and up the imaginary axis in the complex plane. At the turning point of the pole trajectory, the real part of the complex variable coincides with the location of maximum height of the rogue wave in physical space. This feature is conjectured to hold for at least a few other members of the hierarchy of Schrödinger equations. In particular, evolution systems with coherent coupling or quintic (fifth-order) nonlinearity will be studied. Analytical and numerical results confirm the validity of this conjecture for the first- and second-order rogue waves.
Persistent Identifierhttp://hdl.handle.net/10722/300344
ISSN
2020 Impact Factor: 3.56
2020 SCImago Journal Rankings: 0.754
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorPENG, N-
dc.contributor.authorCHIU, TL-
dc.contributor.authorChow, KW-
dc.date.accessioned2021-06-04T08:41:35Z-
dc.date.available2021-06-04T08:41:35Z-
dc.date.issued2020-
dc.identifier.citationFrontiers in Physics, 2020, v. 8, p. article no. 581662-
dc.identifier.issn2296-424X-
dc.identifier.urihttp://hdl.handle.net/10722/300344-
dc.description.abstractThe Peregrine soliton is an exact, rational, and localized solution of the nonlinear Schrödinger equation and is commonly employed as a model for rogue waves in physical sciences. If the transverse variable is allowed to be complex by analytic continuation while the propagation variable remains real, the poles of the Peregrine soliton travel down and up the imaginary axis in the complex plane. At the turning point of the pole trajectory, the real part of the complex variable coincides with the location of maximum height of the rogue wave in physical space. This feature is conjectured to hold for at least a few other members of the hierarchy of Schrödinger equations. In particular, evolution systems with coherent coupling or quintic (fifth-order) nonlinearity will be studied. Analytical and numerical results confirm the validity of this conjecture for the first- and second-order rogue waves.-
dc.languageeng-
dc.publisherFrontiers Research Foundation. The Journal's web site is located at http://www.frontiersin.org/physics/-
dc.relation.ispartofFrontiers in Physics-
dc.rightsThis Document is Protected by copyright and was first published by Frontiers. All rights reserved. It is reproduced with permission.-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectquintic nonlinearity-
dc.subjectcoherent coupling-
dc.subjectpole trajectories-
dc.subjectrogue waves-
dc.subjectnonlinear Schrödinger equations-
dc.titleThe Dynamics of Pole Trajectories in the Complex Plane and Peregrine Solitons for Higher-Order Nonlinear Schrödinger Equations: Coherent Coupling and Quintic Nonlinearity-
dc.typeArticle-
dc.identifier.emailChow, KW: kwchow@hku.hk-
dc.identifier.authorityChow, KW=rp00112-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.3389/fphy.2020.581662-
dc.identifier.scopuseid_2-s2.0-85095705221-
dc.identifier.hkuros322735-
dc.identifier.volume8-
dc.identifier.spagearticle no. 581662-
dc.identifier.epagearticle no. 581662-
dc.identifier.isiWOS:000586263900001-
dc.publisher.placeSwitzerland-

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