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Article: 'Positon' and 'dromion' solutions of the (2+1) dimensional long wave-short wave resonance interaction equations

Title'Positon' and 'dromion' solutions of the (2+1) dimensional long wave-short wave resonance interaction equations
Authors
KeywordsBilinear Transformations
Dromions
Long Waves-Short Waves Interaction Equations
Nonlinear Evolution Equations
Positons
Solitons
Issue Date1999
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, 1999, v. 68 n. 6, p. 1847-1853 How to Cite?
Abstract'Positon' and 'dromion' solutions are derived for the long wave-short wave interaction equations in a two-layer fluid. Positons are new, exact solutions of nonlinear evolution equations that exhibit algebraic decay in the far field. A positon solution can be generated by taking a special limit of multi-soliton expansion. Variation of the limiting process yields different solutions. Dromions are exact, localized solutions of (2+1) dimensional (2 spatial, 1 temporal) nonlinear evolution equations that decay exponentially in all directions. One and higher dromion solutions are investigated, and a particular case of higher dromion solutions is considered in details. By applying another limiting procedure a new solution is generated. This method of 'coalescence of eigenvalues' or 'wavenumbers' is thus quite universal, and can be applied to a wide variety of expansions, not just the multi-soliton type. Finally, the case of propagation solutions on a continuous wave background is also studied.
Persistent Identifierhttp://hdl.handle.net/10722/156530
ISSN
2015 Impact Factor: 1.559
2015 SCImago Journal Rankings: 0.720
References

 

DC FieldValueLanguage
dc.contributor.authorLai, DWCen_US
dc.contributor.authorChow, KWen_US
dc.date.accessioned2012-08-08T08:42:49Z-
dc.date.available2012-08-08T08:42:49Z-
dc.date.issued1999en_US
dc.identifier.citationJournal Of The Physical Society Of Japan, 1999, v. 68 n. 6, p. 1847-1853en_US
dc.identifier.issn0031-9015en_US
dc.identifier.urihttp://hdl.handle.net/10722/156530-
dc.description.abstract'Positon' and 'dromion' solutions are derived for the long wave-short wave interaction equations in a two-layer fluid. Positons are new, exact solutions of nonlinear evolution equations that exhibit algebraic decay in the far field. A positon solution can be generated by taking a special limit of multi-soliton expansion. Variation of the limiting process yields different solutions. Dromions are exact, localized solutions of (2+1) dimensional (2 spatial, 1 temporal) nonlinear evolution equations that decay exponentially in all directions. One and higher dromion solutions are investigated, and a particular case of higher dromion solutions is considered in details. By applying another limiting procedure a new solution is generated. This method of 'coalescence of eigenvalues' or 'wavenumbers' is thus quite universal, and can be applied to a wide variety of expansions, not just the multi-soliton type. Finally, the case of propagation solutions on a continuous wave background is also studied.en_US
dc.languageengen_US
dc.publisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htmen_US
dc.relation.ispartofJournal of the Physical Society of Japanen_US
dc.subjectBilinear Transformationsen_US
dc.subjectDromionsen_US
dc.subjectLong Waves-Short Waves Interaction Equationsen_US
dc.subjectNonlinear Evolution Equationsen_US
dc.subjectPositonsen_US
dc.subjectSolitonsen_US
dc.title'Positon' and 'dromion' solutions of the (2+1) dimensional long wave-short wave resonance interaction equationsen_US
dc.typeArticleen_US
dc.identifier.emailChow, KW:kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0033433017en_US
dc.identifier.hkuros41709-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033433017&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume68en_US
dc.identifier.issue6en_US
dc.identifier.spage1847en_US
dc.identifier.epage1853en_US
dc.publisher.placeJapanen_US
dc.identifier.scopusauthoridLai, DWC=7102862481en_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US

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