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Article: Interactions of breathers and solitons in the extended Korteweg-de Vries equation

TitleInteractions of breathers and solitons in the extended Korteweg-de Vries equation
Authors
KeywordsBreathers
Extended Korteweg-de Vries equation
Solitons
Issue Date2005
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/wamot
Citation
Wave Motion, 2005, v. 43 n. 2, p. 158-166 How to Cite?
AbstractThe extended Korteweg-de Vries model governs the evolution of weakly dispersive waves under the combined influence of quadratic and cubic nonlinearities, and is relevant to finite-amplitude wave motions in the atmosphere and the ocean. Analytic expressions for a multi-soliton are obtained by the Hirota bilinear method, and are shown to agree with those for isolated solitary waves or breathers obtained earlier in the literature. In particular, the interaction of a breather and a soliton can now be studied. Both the soliton and the breather retain their identities after interaction except for some phase shifts. Detailed examination of the interaction process shows that the profile of the breather will depend critically on the polarity of the colliding soliton. © 2005 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/48615
ISSN
2015 Impact Factor: 1.449
2015 SCImago Journal Rankings: 0.668
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.contributor.authorGrimshaw, RHJen_HK
dc.contributor.authorDing, Een_HK
dc.date.accessioned2008-05-22T04:19:04Z-
dc.date.available2008-05-22T04:19:04Z-
dc.date.issued2005en_HK
dc.identifier.citationWave Motion, 2005, v. 43 n. 2, p. 158-166en_HK
dc.identifier.issn0165-2125en_HK
dc.identifier.urihttp://hdl.handle.net/10722/48615-
dc.description.abstractThe extended Korteweg-de Vries model governs the evolution of weakly dispersive waves under the combined influence of quadratic and cubic nonlinearities, and is relevant to finite-amplitude wave motions in the atmosphere and the ocean. Analytic expressions for a multi-soliton are obtained by the Hirota bilinear method, and are shown to agree with those for isolated solitary waves or breathers obtained earlier in the literature. In particular, the interaction of a breather and a soliton can now be studied. Both the soliton and the breather retain their identities after interaction except for some phase shifts. Detailed examination of the interaction process shows that the profile of the breather will depend critically on the polarity of the colliding soliton. © 2005 Elsevier B.V. All rights reserved.en_HK
dc.format.extent324022 bytes-
dc.format.extent3837 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/wamoten_HK
dc.relation.ispartofWave Motionen_HK
dc.rightsWave Motion. Copyright © Elsevier BV.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectBreathersen_HK
dc.subjectExtended Korteweg-de Vries equationen_HK
dc.subjectSolitonsen_HK
dc.titleInteractions of breathers and solitons in the extended Korteweg-de Vries equationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0165-2125&volume=43&issue=2&spage=158 &epage= 166&date=2005&atitle=Interactions+of+breathers+and+solitons+in+the+extended+Korteweg–de+Vries+equationen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturepostprinten_HK
dc.identifier.doi10.1016/j.wavemoti.2005.09.005en_HK
dc.identifier.scopuseid_2-s2.0-28244484411en_HK
dc.identifier.hkuros111181-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-28244484411&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume43en_HK
dc.identifier.issue2en_HK
dc.identifier.spage158en_HK
dc.identifier.epage166en_HK
dc.identifier.isiWOS:000233684100005-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridGrimshaw, RHJ=35462748600en_HK
dc.identifier.scopusauthoridDing, E=9636486100en_HK

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