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Article: Rational function representations of wave patterns in higher-dimensional and discrete evolution equations
Title | Rational function representations of wave patterns in higher-dimensional and discrete evolution equations |
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Authors | |
Keywords | 02.30.Jr 45.05.+x 46.40.Cd Discrete evolution equations Elliptic functions Hirota bilinear method |
Issue Date | 2004 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physleta |
Citation | Physics Letters, Section A: General, Atomic And Solid State Physics, 2004, v. 326 n. 5-6, p. 404-411 How to Cite? |
Abstract | A class of periodic waves of nonlinear evolution equations (NEEs) can be expressed as rational functions of elliptic functions. A combination of the Hirota bilinear method and theta functions is demonstrated to be effective in calculating such waves. Examples of applications are NEEs in higher spatial dimensions and discrete NEEs. © 2004 Elsevier B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/76174 |
ISSN | 2023 Impact Factor: 2.3 2023 SCImago Journal Rankings: 0.483 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Chow, KW | en_HK |
dc.date.accessioned | 2010-09-06T07:18:21Z | - |
dc.date.available | 2010-09-06T07:18:21Z | - |
dc.date.issued | 2004 | en_HK |
dc.identifier.citation | Physics Letters, Section A: General, Atomic And Solid State Physics, 2004, v. 326 n. 5-6, p. 404-411 | en_HK |
dc.identifier.issn | 0375-9601 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/76174 | - |
dc.description.abstract | A class of periodic waves of nonlinear evolution equations (NEEs) can be expressed as rational functions of elliptic functions. A combination of the Hirota bilinear method and theta functions is demonstrated to be effective in calculating such waves. Examples of applications are NEEs in higher spatial dimensions and discrete NEEs. © 2004 Elsevier B.V. All rights reserved. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physleta | en_HK |
dc.relation.ispartof | Physics Letters, Section A: General, Atomic and Solid State Physics | en_HK |
dc.rights | Physics Letters Section A: General, Atomic and Solid State Physics. Copyright © Elsevier BV. | en_HK |
dc.subject | 02.30.Jr | en_HK |
dc.subject | 45.05.+x | en_HK |
dc.subject | 46.40.Cd | en_HK |
dc.subject | Discrete evolution equations | en_HK |
dc.subject | Elliptic functions | en_HK |
dc.subject | Hirota bilinear method | en_HK |
dc.title | Rational function representations of wave patterns in higher-dimensional and discrete evolution equations | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0375-9601&volume=326&spage=404&epage=411&date=2004&atitle=Rational+function+representations+of+wave+patterns+in+higher-dimensional+and+discrete+evolution+equations | 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 | 10.1016/j.physleta.2004.04.074 | en_HK |
dc.identifier.scopus | eid_2-s2.0-2942532725 | en_HK |
dc.identifier.hkuros | 90339 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-2942532725&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 326 | en_HK |
dc.identifier.issue | 5-6 | en_HK |
dc.identifier.spage | 404 | en_HK |
dc.identifier.epage | 411 | en_HK |
dc.identifier.isi | WOS:000222037700017 | - |
dc.publisher.place | Netherlands | en_HK |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_HK |
dc.identifier.issnl | 0375-9601 | - |