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Article: Coalescence of Wavenumbers and Exact Solutions for a System of Coupled Nonlinear Schrödinger Equations
Title | Coalescence of Wavenumbers and Exact Solutions for a System of Coupled Nonlinear Schrödinger Equations |
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Authors | |
Keywords | Bilinear Transformation Nonlinear Evolution Equations Solitons |
Issue Date | 1998 |
Publisher | Institute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htm |
Citation | Journal of the Physical Society of Japan, 1998, v. 67 n. 11, p. 3721-3728 How to Cite? |
Abstract | An exact 2-soliton expression is obtained for the Manakov system, a special, coupled set of nonlinear Schrödinger equations. The solution permits different asymptotic states for the components in the far field. A 'coalescence' of wavenumbers is considered from the perspective of the Hirota bilinear operator. This is roughly equivalent to a double (or in general multiple) pole solution in the language of the inverse scattering transform. Physically counterpropagating waves will occur. With the help of computer algebra software a 3-soliton solution is derived. Coalescence of eigenvalues is investigated. Temporal modulation of the amplitude is observed. |
Persistent Identifier | http://hdl.handle.net/10722/156668 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 0.612 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Chow, KW | en_US |
dc.contributor.author | Lai, DWC | en_US |
dc.date.accessioned | 2012-08-08T08:43:27Z | - |
dc.date.available | 2012-08-08T08:43:27Z | - |
dc.date.issued | 1998 | en_US |
dc.identifier.citation | Journal of the Physical Society of Japan, 1998, v. 67 n. 11, p. 3721-3728 | - |
dc.identifier.issn | 0031-9015 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156668 | - |
dc.description.abstract | An exact 2-soliton expression is obtained for the Manakov system, a special, coupled set of nonlinear Schrödinger equations. The solution permits different asymptotic states for the components in the far field. A 'coalescence' of wavenumbers is considered from the perspective of the Hirota bilinear operator. This is roughly equivalent to a double (or in general multiple) pole solution in the language of the inverse scattering transform. Physically counterpropagating waves will occur. With the help of computer algebra software a 3-soliton solution is derived. Coalescence of eigenvalues is investigated. Temporal modulation of the amplitude is observed. | en_US |
dc.language | eng | en_US |
dc.publisher | Institute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htm | en_US |
dc.relation.ispartof | Journal of the Physical Society of Japan | en_US |
dc.subject | Bilinear Transformation | en_US |
dc.subject | Nonlinear Evolution Equations | en_US |
dc.subject | Solitons | en_US |
dc.title | Coalescence of Wavenumbers and Exact Solutions for a System of Coupled Nonlinear Schrödinger Equations | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_US |
dc.identifier.authority | Chow, KW=rp00112 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1143/JPSJ.67.3721 | - |
dc.identifier.scopus | eid_2-s2.0-0038124595 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0038124595&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 67 | en_US |
dc.identifier.issue | 11 | en_US |
dc.identifier.spage | 3721 | en_US |
dc.identifier.epage | 3728 | en_US |
dc.identifier.isi | WOS:000077364800019 | - |
dc.publisher.place | Japan | en_US |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_US |
dc.identifier.scopusauthorid | Lai, DWC=7102862481 | en_US |
dc.identifier.issnl | 0031-9015 | - |