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Article: Coalescence of Ripplons, Breathers, Dromions and Dark Solitons
Title | Coalescence of Ripplons, Breathers, Dromions and Dark Solitons |
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Authors | |
Keywords | Breathers Dromions Hirota bilinear method Nonlinear evolution equations |
Issue Date | 2001 |
Publisher | Institute 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? |
Abstract | New 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 Identifier | http://hdl.handle.net/10722/75963 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 0.612 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lai, DWC | en_HK |
dc.contributor.author | Chow, KW | en_HK |
dc.date.accessioned | 2010-09-06T07:16:16Z | - |
dc.date.available | 2010-09-06T07:16:16Z | - |
dc.date.issued | 2001 | en_HK |
dc.identifier.citation | Journal of the Physical Society of Japan, 2001, v. 70 n. 3, p. 666-677 | - |
dc.identifier.issn | 0031-9015 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75963 | - |
dc.description.abstract | New 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.language | eng | en_HK |
dc.publisher | Institute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htm | en_HK |
dc.relation.ispartof | Journal of the Physical Society of Japan | en_HK |
dc.subject | Breathers | en_HK |
dc.subject | Dromions | en_HK |
dc.subject | Hirota bilinear method | en_HK |
dc.subject | Nonlinear evolution equations | en_HK |
dc.title | Coalescence of Ripplons, Breathers, Dromions and Dark Solitons | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+solitons | en_HK |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_HK |
dc.identifier.authority | Chow, KW=rp00112 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1143/JPSJ.70.666 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0035631898 | en_HK |
dc.identifier.hkuros | 62296 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0035631898&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 70 | en_HK |
dc.identifier.issue | 3 | en_HK |
dc.identifier.spage | 666 | en_HK |
dc.identifier.epage | 677 | en_HK |
dc.identifier.isi | WOS:000167833400015 | - |
dc.publisher.place | Japan | en_HK |
dc.identifier.scopusauthorid | Lai, DWC=7102862481 | en_HK |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_HK |
dc.identifier.issnl | 0031-9015 | - |