Three-Phase Freak Waves
In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic ''freak waves''. We also study the dependency of the solution parameters on the...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2015 |
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147009 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Three-Phase Freak Waves / A.O. Smirnov, S.G. Matveenko, S.K. Semenov, E.G. Semenova // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 44 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862690601051357184 |
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| author | Smirnov, A.O. Matveenko, S.G. Semenov, S.K. Semenova, E.G. |
| author_facet | Smirnov, A.O. Matveenko, S.G. Semenov, S.K. Semenova, E.G. |
| citation_txt | Three-Phase Freak Waves / A.O. Smirnov, S.G. Matveenko, S.K. Semenov, E.G. Semenova // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 44 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic ''freak waves''. We also study the dependency of the solution parameters on the spectral curves.
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| first_indexed | 2025-12-07T16:13:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147009 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:13:51Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Smirnov, A.O. Matveenko, S.G. Semenov, S.K. Semenova, E.G. 2019-02-12T20:30:03Z 2019-02-12T20:30:03Z 2015 Three-Phase Freak Waves / A.O. Smirnov, S.G. Matveenko, S.K. Semenov, E.G. Semenova // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 44 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35Q55; 37C55 DOI:10.3842/SIGMA.2015.032 https://nasplib.isofts.kiev.ua/handle/123456789/147009 In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic ''freak waves''. We also study the dependency of the solution parameters on the spectral curves. Authors thank Professor V.B. Matveev for his support and the discussions that we held over this
 paper and quasi-rational solutions of the NLS equation. This research was conducted within the
 framework of the State order of the Ministry of Education and Science of Russian Federation,
 and partially supported by RFBR (research project 14-01-00589 a). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Three-Phase Freak Waves Article published earlier |
| spellingShingle | Three-Phase Freak Waves Smirnov, A.O. Matveenko, S.G. Semenov, S.K. Semenova, E.G. |
| title | Three-Phase Freak Waves |
| title_full | Three-Phase Freak Waves |
| title_fullStr | Three-Phase Freak Waves |
| title_full_unstemmed | Three-Phase Freak Waves |
| title_short | Three-Phase Freak Waves |
| title_sort | three-phase freak waves |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147009 |
| work_keys_str_mv | AT smirnovao threephasefreakwaves AT matveenkosg threephasefreakwaves AT semenovsk threephasefreakwaves AT semenovaeg threephasefreakwaves |