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Article: Superposition of solitons and discrete evolution equations
Title | Superposition of solitons and discrete evolution equations |
---|---|
Authors | |
Issue Date | 1994 |
Publisher | Kungliga Vetenskapsakademien. The Journal's web site is located at http://www.iop.org/EJ/journal/1402-4896/1 |
Citation | Physica Scripta, 1994, v. 50 n. 3, p. 233-237 How to Cite? |
Abstract | Solutions of differential-difference Korteweg-de Vries (KdV), modified KdV and generalized KdV equations are given in terms of theta functions. The dispersion relation is given in elegant, compact forms and the solutions consist of a sequence of solitons. A fully discrete or partial difference KdV equation is also treated. A new identity in theta function enables the elliptic function solution to be rewritten as a sum of solitons. |
Persistent Identifier | http://hdl.handle.net/10722/156409 |
ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 0.415 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chow, Kwok W | en_US |
dc.date.accessioned | 2012-08-08T08:42:19Z | - |
dc.date.available | 2012-08-08T08:42:19Z | - |
dc.date.issued | 1994 | en_US |
dc.identifier.citation | Physica Scripta, 1994, v. 50 n. 3, p. 233-237 | en_US |
dc.identifier.issn | 0031-8949 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156409 | - |
dc.description.abstract | Solutions of differential-difference Korteweg-de Vries (KdV), modified KdV and generalized KdV equations are given in terms of theta functions. The dispersion relation is given in elegant, compact forms and the solutions consist of a sequence of solitons. A fully discrete or partial difference KdV equation is also treated. A new identity in theta function enables the elliptic function solution to be rewritten as a sum of solitons. | en_US |
dc.language | eng | en_US |
dc.publisher | Kungliga Vetenskapsakademien. The Journal's web site is located at http://www.iop.org/EJ/journal/1402-4896/1 | en_US |
dc.relation.ispartof | Physica Scripta | en_US |
dc.title | Superposition of solitons and discrete evolution equations | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chow, Kwok W:kwchow@hku.hk | en_US |
dc.identifier.authority | Chow, Kwok W=rp00112 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-0028513850 | en_US |
dc.identifier.volume | 50 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.spage | 233 | en_US |
dc.identifier.epage | 237 | en_US |
dc.identifier.isi | WOS:A1994PG71100002 | - |
dc.publisher.place | Sweden | en_US |
dc.identifier.scopusauthorid | Chow, Kwok W=13605209900 | en_US |
dc.identifier.issnl | 0031-8949 | - |