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Article: A class of exact, periodic solutions of nonlinear envelope equations
Title | A class of exact, periodic solutions of nonlinear envelope equations |
---|---|
Authors | |
Keywords | Physics mathematics |
Issue Date | 1995 |
Publisher | American 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? |
Abstract | A 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 Identifier | http://hdl.handle.net/10722/43018 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.569 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chow, KW | en_HK |
dc.date.accessioned | 2007-03-23T04:37:01Z | - |
dc.date.available | 2007-03-23T04:37:01Z | - |
dc.date.issued | 1995 | en_HK |
dc.identifier.citation | Journal of Mathematical Physics, 1995, v. 36 n. 8, p. 4125-4137 | - |
dc.identifier.issn | 0022-2488 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/43018 | - |
dc.description.abstract | A 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.extent | 1004125 bytes | - |
dc.format.extent | 26624 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/msword | - |
dc.language | eng | en_HK |
dc.publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/jmp/ | en_HK |
dc.relation.ispartof | Journal of Mathematical Physics | en_HK |
dc.rights | Copyright 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.subject | Physics mathematics | en_HK |
dc.title | A class of exact, periodic solutions of nonlinear envelope equations | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+equations | en_HK |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_HK |
dc.identifier.authority | Chow, KW=rp00112 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1063/1.530951 | en_HK |
dc.identifier.scopus | eid_2-s2.0-36449005107 | en_HK |
dc.identifier.hkuros | 13992 | - |
dc.identifier.volume | 36 | en_HK |
dc.identifier.issue | 8 | en_HK |
dc.identifier.spage | 4125 | en_HK |
dc.identifier.epage | 4137 | en_HK |
dc.identifier.isi | WOS:A1995RM88500019 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_HK |
dc.identifier.issnl | 0022-2488 | - |