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- Publisher Website: 10.1017/S030821051500030X
- Scopus: eid_2-s2.0-84949532233
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Article: Fast-moving finite and infinite trains of solitons for nonlinear Schrodinger equations
Title | Fast-moving finite and infinite trains of solitons for nonlinear Schrodinger equations |
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Authors | |
Keywords | multi-kink solution multi-soliton solution nonlinear Schrodinger equation Soliton train |
Issue Date | 2015 |
Citation | Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2015, v. 145, n. 6, p. 1251-1282 How to Cite? |
Abstract | We study infinite soliton trains solutions of nonlinear Schrodinger equations, i.e. solutions behaving as the sum of infinitely many solitary waves at large time. Assuming the composing solitons have sufficiently large relative speeds, we prove the existence and uniqueness of such a soliton train. We also give a new construction of multi-solitons (i.e. finite trains) and prove uniqueness in an exponentially small neighbourhood, and we consider the case of solutions composed of several solitons and kinks (i.e. solutions with a non-zero background at infinity). |
Persistent Identifier | http://hdl.handle.net/10722/327072 |
ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 1.148 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Le Coz, Stefan | - |
dc.contributor.author | Li, Dong | - |
dc.contributor.author | Tsai, Tai Peng | - |
dc.date.accessioned | 2023-03-31T05:28:36Z | - |
dc.date.available | 2023-03-31T05:28:36Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2015, v. 145, n. 6, p. 1251-1282 | - |
dc.identifier.issn | 0308-2105 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327072 | - |
dc.description.abstract | We study infinite soliton trains solutions of nonlinear Schrodinger equations, i.e. solutions behaving as the sum of infinitely many solitary waves at large time. Assuming the composing solitons have sufficiently large relative speeds, we prove the existence and uniqueness of such a soliton train. We also give a new construction of multi-solitons (i.e. finite trains) and prove uniqueness in an exponentially small neighbourhood, and we consider the case of solutions composed of several solitons and kinks (i.e. solutions with a non-zero background at infinity). | - |
dc.language | eng | - |
dc.relation.ispartof | Proceedings of the Royal Society of Edinburgh Section A: Mathematics | - |
dc.subject | multi-kink solution | - |
dc.subject | multi-soliton solution | - |
dc.subject | nonlinear Schrodinger equation | - |
dc.subject | Soliton train | - |
dc.title | Fast-moving finite and infinite trains of solitons for nonlinear Schrodinger equations | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1017/S030821051500030X | - |
dc.identifier.scopus | eid_2-s2.0-84949532233 | - |
dc.identifier.volume | 145 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | 1251 | - |
dc.identifier.epage | 1282 | - |
dc.identifier.eissn | 1473-7124 | - |
dc.identifier.isi | WOS:000365683600008 | - |