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Article: Coalescence of Ripplons, Breathers, Dromions and Dark Solitons

TitleCoalescence of Ripplons, Breathers, Dromions and Dark Solitons
Authors
KeywordsBreathers
Dromions
Hirota bilinear method
Nonlinear evolution equations
Issue Date2001
PublisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htm
Citation
Journal Of The Physical Society Of Japan, 2001, v. 70 n. 3, p. 666-677 How to Cite?
AbstractNew solutions of several nonlinear evolution equations (NEEs) are obtained by a special limit corresponding to a coalescence or merger of wavenumbers. This technique will yield the multiple pole solutions of NEEs if ordinary solitons are involved. This limiting process will now be applied through the Hirota bilinear transform to other novel solutions of NEEs. For ripplons (self similar explode-decay solutions) such merger yields interacting self similar solitary waves. For breathers (pulsating waves) this coalescence gives rise to a pair of counterpropagating breathers. For dromions (exponentially decaying solutions in all spatial directions) this merger might generate additional localized structures. For dark solitons such coalescence can lead to a pair of anti-dark (localized elevation solitary waves on a continuous wave background) and dark solitons.
Persistent Identifierhttp://hdl.handle.net/10722/75963
ISSN
2015 Impact Factor: 1.559
2015 SCImago Journal Rankings: 0.720
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLai, DWCen_HK
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2010-09-06T07:16:16Z-
dc.date.available2010-09-06T07:16:16Z-
dc.date.issued2001en_HK
dc.identifier.citationJournal Of The Physical Society Of Japan, 2001, v. 70 n. 3, p. 666-677en_HK
dc.identifier.issn0031-9015en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75963-
dc.description.abstractNew solutions of several nonlinear evolution equations (NEEs) are obtained by a special limit corresponding to a coalescence or merger of wavenumbers. This technique will yield the multiple pole solutions of NEEs if ordinary solitons are involved. This limiting process will now be applied through the Hirota bilinear transform to other novel solutions of NEEs. For ripplons (self similar explode-decay solutions) such merger yields interacting self similar solitary waves. For breathers (pulsating waves) this coalescence gives rise to a pair of counterpropagating breathers. For dromions (exponentially decaying solutions in all spatial directions) this merger might generate additional localized structures. For dark solitons such coalescence can lead to a pair of anti-dark (localized elevation solitary waves on a continuous wave background) and dark solitons.en_HK
dc.languageengen_HK
dc.publisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htmen_HK
dc.relation.ispartofJournal of the Physical Society of Japanen_HK
dc.subjectBreathersen_HK
dc.subjectDromionsen_HK
dc.subjectHirota bilinear methoden_HK
dc.subjectNonlinear evolution equationsen_HK
dc.titleCoalescence of Ripplons, Breathers, Dromions and Dark Solitonsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0031-9015&volume=70 No 3&spage=666&epage=677&date=2001&atitle=Coalescence+of+ripplons,+breathers,+dromions+and+dark+solitonsen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1143/JPSJ.70.666en_HK
dc.identifier.scopuseid_2-s2.0-0035631898en_HK
dc.identifier.hkuros62296en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035631898&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume70en_HK
dc.identifier.issue3en_HK
dc.identifier.spage666en_HK
dc.identifier.epage677en_HK
dc.identifier.isiWOS:000167833400015-
dc.publisher.placeJapanen_HK
dc.identifier.scopusauthoridLai, DWC=7102862481en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK

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