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Article: A class of exact, periodic solutions of nonlinear envelope equations

TitleA class of exact, periodic solutions of nonlinear envelope equations
Authors
Chow, KW
KeywordsPhysics mathematics
Issue Date1995
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/jmp/
Citation
Journal of Mathematical Physics, 1995, v. 36 n. 8, p. 4125-4137 How to Cite?
DOI: http://dx.doi.org/10.1063/1.530951
AbstractA class of periodic solutions of nonlinear envelope equations, e.g., the nonlinear Schrödinger equation (NLS), is expressed in terms of rational functions of elliptic functions. The Hirota bilinear transformation and theta functions are used to extend and generalize this class of solutions first reported for NLS earlier in the literature. In particular a higher order NLS and the Davey-Stewartson (DS) equations are treated. Doubly periodic standing waves solutions are obtained for both the DSI and DSII equations. A symbolic manipulation software is used to confirm the validity of the solutions independently. © 1995 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/43018
ISSN
0022-2488
2023 Impact Factor: 1.2
2023 SCImago Journal Rankings: 0.569
ISI Accession Number ID
WOS:A1995RM88500019

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2007-03-23T04:37:01Z-
dc.date.available2007-03-23T04:37:01Z-
dc.date.issued1995en_HK
dc.identifier.citationJournal of Mathematical Physics, 1995, v. 36 n. 8, p. 4125-4137-
dc.identifier.issn0022-2488en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43018-
dc.description.abstractA class of periodic solutions of nonlinear envelope equations, e.g., the nonlinear Schrödinger equation (NLS), is expressed in terms of rational functions of elliptic functions. The Hirota bilinear transformation and theta functions are used to extend and generalize this class of solutions first reported for NLS earlier in the literature. In particular a higher order NLS and the Davey-Stewartson (DS) equations are treated. Doubly periodic standing waves solutions are obtained for both the DSI and DSII equations. A symbolic manipulation software is used to confirm the validity of the solutions independently. © 1995 American Institute of Physics.en_HK
dc.format.extent1004125 bytes-
dc.format.extent26624 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/jmp/en_HK
dc.relation.ispartofJournal of Mathematical Physicsen_HK
dc.rightsCopyright 1995 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics, 1995, v. 36 n. 8, p. 4125-4137 and may be found at https://doi.org/10.1063/1.530951-
dc.subjectPhysics mathematicsen_HK
dc.titleA class of exact, periodic solutions of nonlinear envelope equationsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-2488&volume=36&issue=8&spage=4125&epage=4137&date=1995&atitle=A+class+of+exact,+periodic+solutions+of+nonlinear+envelope+equationsen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1063/1.530951en_HK
dc.identifier.scopuseid_2-s2.0-36449005107en_HK
dc.identifier.hkuros13992-
dc.identifier.volume36en_HK
dc.identifier.issue8en_HK
dc.identifier.spage4125en_HK
dc.identifier.epage4137en_HK
dc.identifier.isiWOS:A1995RM88500019-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.issnl0022-2488-

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