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Article: Positon-like Solutions of Nonlinear Evolution Equations in (2+1) Dimensions

TitlePositon-like Solutions of Nonlinear Evolution Equations in (2+1) Dimensions
Authors
Issue Date1998
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaos
Citation
Chaos, Solitons And Fractals, 1998, v. 9 n. 11, p. 1901-1912 How to Cite?
AbstractPositons are new exact solutions of classical nonlinear evolution equations in one spatial dimension, such as the Korteweg-de Vries and sine-Gordon equations. Recently, positons have been established as a singular limit of a 2-soliton expression. Extension to (2+1)-dimensional phenomena (2 spatial and 1 temporal dimensions) is attempted in this work, and positon-like solutions are obtained for the well-known Kadomtsev-Petviashvili and Davey-Stewartson equations, as well as less familiar examples such as the (2+1)-dimensional integrable sine-Gordon equation. © 1997 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75617
ISSN
2015 Impact Factor: 1.611
2015 SCImago Journal Rankings: 0.679
References

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.contributor.authorLai, WCen_HK
dc.contributor.authorShek, CKen_HK
dc.contributor.authorTso, Ken_HK
dc.date.accessioned2010-09-06T07:12:55Z-
dc.date.available2010-09-06T07:12:55Z-
dc.date.issued1998en_HK
dc.identifier.citationChaos, Solitons And Fractals, 1998, v. 9 n. 11, p. 1901-1912en_HK
dc.identifier.issn0960-0779en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75617-
dc.description.abstractPositons are new exact solutions of classical nonlinear evolution equations in one spatial dimension, such as the Korteweg-de Vries and sine-Gordon equations. Recently, positons have been established as a singular limit of a 2-soliton expression. Extension to (2+1)-dimensional phenomena (2 spatial and 1 temporal dimensions) is attempted in this work, and positon-like solutions are obtained for the well-known Kadomtsev-Petviashvili and Davey-Stewartson equations, as well as less familiar examples such as the (2+1)-dimensional integrable sine-Gordon equation. © 1997 Elsevier Science Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaosen_HK
dc.relation.ispartofChaos, Solitons and Fractalsen_HK
dc.titlePositon-like Solutions of Nonlinear Evolution Equations in (2+1) Dimensionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0960-0779&volume=9 No11&spage=1901&epage=1912&date=1998&atitle=Positon-like+solutions+of+nonlinear+evolution+equations+in+(2+1)+dimensionsen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0032206474en_HK
dc.identifier.hkuros41707en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032206474&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume9en_HK
dc.identifier.issue11en_HK
dc.identifier.spage1901en_HK
dc.identifier.epage1912en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridLai, WC=7402231090en_HK
dc.identifier.scopusauthoridShek, CK=7005934977en_HK
dc.identifier.scopusauthoridTso, K=36847131200en_HK

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