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Article: Localized modes of the Hirota equation: Nth order rogue wave and a separation of variable technique

TitleLocalized modes of the Hirota equation: <i>N</i>th order rogue wave and a separation of variable technique
Authors
Issue Date2016
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns
Citation
Communications in Nonlinear Science and Numerical Simulation, 2016, v. 39, p. 118-133 How to Cite?
AbstractThe Hirota equation is a special extension of the intensively studied nonlinear Schrödinger equation, by incorporating third order dispersion and one form of the self-steepening effect. Higher order rogue waves of the Hirota equation can be calculated theoretically through a Darboux-dressing transformation by a separation of variable approach. A Taylor expansion is used and no derivative calculation is invoked. Furthermore, stability of these rogue waves is studied computationally. By tracing the evolution of an exact solution perturbed by random noise, it is found that second order rogue waves are generally less stable than first order ones.
Persistent Identifierhttp://hdl.handle.net/10722/234061
ISSN
2015 Impact Factor: 2.834
2015 SCImago Journal Rankings: 1.575

 

DC FieldValueLanguage
dc.contributor.authorMu, G-
dc.contributor.authorQin, Z-
dc.contributor.authorChow, KW-
dc.contributor.authorEe, BK-
dc.date.accessioned2016-10-14T06:58:48Z-
dc.date.available2016-10-14T06:58:48Z-
dc.date.issued2016-
dc.identifier.citationCommunications in Nonlinear Science and Numerical Simulation, 2016, v. 39, p. 118-133-
dc.identifier.issn1007-5704-
dc.identifier.urihttp://hdl.handle.net/10722/234061-
dc.description.abstractThe Hirota equation is a special extension of the intensively studied nonlinear Schrödinger equation, by incorporating third order dispersion and one form of the self-steepening effect. Higher order rogue waves of the Hirota equation can be calculated theoretically through a Darboux-dressing transformation by a separation of variable approach. A Taylor expansion is used and no derivative calculation is invoked. Furthermore, stability of these rogue waves is studied computationally. By tracing the evolution of an exact solution perturbed by random noise, it is found that second order rogue waves are generally less stable than first order ones.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns-
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation-
dc.titleLocalized modes of the Hirota equation: <i>N</i>th order rogue wave and a separation of variable technique-
dc.typeArticle-
dc.identifier.emailChow, KW: kwchow@hku.hk-
dc.identifier.authorityChow, KW=rp00112-
dc.identifier.doi10.1016/j.cnsns.2016.02.028-
dc.identifier.hkuros267335-
dc.identifier.volume39-
dc.identifier.spage118-
dc.identifier.epage133-
dc.publisher.placeNetherlands-

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