Solitary Waves in Massive Nonlinear S^N-Sigma Models
The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclin...
Saved in:
| Published in | arXiv.org |
|---|---|
| Main Authors | , , |
| Format | Paper Journal Article |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
09.02.2010
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclinic trajectories) and non-topological (homoclinic trajectories) kinks. The stability of some embedded sine-Gordon kinks is discussed by means of the direct estimation of the spectra of the second-order fluctuation operators around them, whereas the instability of other topological and non-topological kinks is established applying the Morse index theorem. |
|---|---|
| AbstractList | SIGMA 6 (2010), 017, 22 pages The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models
are unveiled. It is shown that the solitary waves in these systems are in
one-to-one correspondence with the separatrix trajectories in the repulsive
N-dimensional Neumann mechanical problem. There are topological (heteroclinic
trajectories) and non-topological (homoclinic trajectories) kinks. The
stability of some embedded sine-Gordon kinks is discussed by means of the
direct estimation of the spectra of the second-order fluctuation operators
around them, whereas the instability of other topological and non-topological
kinks is established applying the Morse index theorem. The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclinic trajectories) and non-topological (homoclinic trajectories) kinks. The stability of some embedded sine-Gordon kinks is discussed by means of the direct estimation of the spectra of the second-order fluctuation operators around them, whereas the instability of other topological and non-topological kinks is established applying the Morse index theorem. |
| Author | A Alonso Izquierdo M de la Torre Mayado González León, M Á |
| Author_xml | – sequence: 1 fullname: A Alonso Izquierdo – sequence: 2 givenname: M surname: González León middlename: Á fullname: González León, M Á – sequence: 3 fullname: M de la Torre Mayado |
| BackLink | https://doi.org/10.48550/arXiv.1002.1932$$DView paper in arXiv https://doi.org/10.3842/SIGMA.2010.017$$DView published paper (Access to full text may be restricted) |
| BookMark | eNotj01LAzEYhIMoWGvvniTgeWu-NzlK8QvaetiCN5c0-0ZStpuatIv-e7fW0xxmmJnnCp13sQOEbiiZCi0lubfpO_RTSgibUsPZGRoxzmmhBWOXaJLzhgyWKpmUfIREFduwt-kHv9seMg4dXticQw94Gbs2dGATrj6WRRU-txYvYgNtvkYX3rYZJv86Rqunx9XspZi_Pb_OHuaFlZQWyitXemLWIJw0YJxjmtNSgnONHNbBS8u9FNBYR6xQmijt2Zp5w41uTMPH6PZU-0dU71LYDkfrI1l9JBsCd6fALsWvA-R9vYmH1A2XakZ0KUSpBOW_fJZRfg |
| ContentType | Paper Journal Article |
| Copyright | 2010. This work is published under http://creativecommons.org/licenses/by-nc-sa/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by-nc-sa/3.0 |
| Copyright_xml | – notice: 2010. This work is published under http://creativecommons.org/licenses/by-nc-sa/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. – notice: http://creativecommons.org/licenses/by-nc-sa/3.0 |
| DBID | 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PIMPY PQEST PQQKQ PQUKI PRINS PTHSS AKZ GOX |
| DOI | 10.48550/arxiv.1002.1932 |
| DatabaseName | ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central SciTech Premium Collection ProQuest Engineering Collection Engineering Database Publicly Available Content Database ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection arXiv Mathematics arXiv.org |
| DatabaseTitle | Publicly Available Content Database Engineering Database Technology Collection ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic Engineering Collection |
| DatabaseTitleList | Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository – sequence: 2 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 2331-8422 |
| ExternalDocumentID | 1002_1932 |
| Genre | Working Paper/Pre-Print |
| GroupedDBID | 8FE 8FG ABJCF ABUWG AFKRA ALMA_UNASSIGNED_HOLDINGS AZQEC BENPR BGLVJ CCPQU DWQXO FRJ HCIFZ L6V M7S M~E PIMPY PQEST PQQKQ PQUKI PRINS PTHSS AKZ GOX |
| ID | FETCH-LOGICAL-a511-6f6c7f09be4c59e9cc283175eccd5255ef5a3f54edac0a468068f2b2f9398d9d3 |
| IEDL.DBID | GOX |
| IngestDate | Mon Jan 08 05:45:00 EST 2024 Fri Sep 13 05:36:54 EDT 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a511-6f6c7f09be4c59e9cc283175eccd5255ef5a3f54edac0a468068f2b2f9398d9d3 |
| OpenAccessLink | https://arxiv.org/abs/1002.1932 |
| PQID | 2087447641 |
| PQPubID | 2050157 |
| ParticipantIDs | arxiv_primary_1002_1932 proquest_journals_2087447641 |
| PublicationCentury | 2000 |
| PublicationDate | 20100209 2010-02-09 |
| PublicationDateYYYYMMDD | 2010-02-09 |
| PublicationDate_xml | – month: 02 year: 2010 text: 20100209 day: 09 |
| PublicationDecade | 2010 |
| PublicationPlace | Ithaca |
| PublicationPlace_xml | – name: Ithaca |
| PublicationTitle | arXiv.org |
| PublicationYear | 2010 |
| Publisher | Cornell University Library, arXiv.org |
| Publisher_xml | – name: Cornell University Library, arXiv.org |
| SSID | ssj0002672553 |
| Score | 1.458642 |
| SecondaryResourceType | preprint |
| Snippet | The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one... SIGMA 6 (2010), 017, 22 pages The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in... |
| SourceID | arxiv proquest |
| SourceType | Open Access Repository Aggregation Database |
| SubjectTerms | Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics Solitary waves Stability Topology Trajectories Variations |
| SummonAdditionalLinks | – databaseName: ProQuest Technology Collection dbid: 8FG link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV09T8MwELVKKyQ2vikUlIHVNHViJ54YEKVCaoXUIjoROWcbVYK0JKWCf4_PaWFAYk2W-Oy8e76Pd4RcRmnMgIGlIFBUmyWSqkimFDjwVOUact-VNhyJwWN8P-XTBhlsemGwrHKDiR6o9RwwRu4u6SjUnoi411U5RgFg2b1evFOcH4V51vUwjS3S6qEmHvaM9-9-oi1MJI47R3We0ot4dVX5OVt5BdIrJDGOnPonfzDZO5r-Lmk9qIUp90jDFPtk29dnQnVA4jHWqanyK3hSK1MFsyIYOtrroCoY1WIXqgzGzw4eZy9vKsAJZ6_VIZn0byc3A7oeeECV4z1UWAGJDWVuYuDSSADn-517d1bW3H2-sVxFlsdGKwhVLNJQpJblzEpnXS11dESaxbwwJyQw7hYVqjyyCiXRJE_REzMFTLv_W0PSJsd-tdmi1rRA6WKWoR3apLNZf7Y-zlX2a_zT_1-fkZ06vc5oKDukuSw_zLnz2sv8wm_IN7Ynlf8 priority: 102 providerName: ProQuest |
| Title | Solitary Waves in Massive Nonlinear S^N-Sigma Models |
| URI | https://www.proquest.com/docview/2087447641/abstract/ https://arxiv.org/abs/1002.1932 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwdV09T8MwED21ZWFBIL4KpXhgNQpO7MQjoLYIqQXRIjoR-RNVggqlpYKF3845SVkQiwfLHny2773T2e8AzuIsYYYZT40IotoslVTFMqOGG54pbY0uf6UNR-LmMbmd8mkDTtd_YVTxOVtV-sA61ByJ2HmgGE1oMhZebA3uplWysVTiqof_DkOGWfb8cawlWvS3YaumeeSy2pcdaLj5LiTj8NhMFV_kSa3cgszmZIjcFf0NGVWKFaog42f0cbOXN0VCmbLXxR5M-r3J9Q2tqxZQheSFCi9M6iOpXWK4dNIYBHDEaDSV5cjfnecq9jxxVplIJSKLROaZZl6iiay08T60MPB3h0AchkKR0rFXQddM8izAKVOGWbyk1qRtOChXm79XwhRBf5jlwQ5t6KzXn9dncpGzKEjdpyK5OPp34jFsVulxRiPZgday-HAniLpL3YVm1h90YeOqN7p_6JY7ge3wu_cDetuE1g |
| link.rule.ids | 228,230,786,790,891,12792,21416,27958,33408,33779,43635,43840 |
| linkProvider | Cornell University |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3PT4MwFH7RLUZv_nY6lYPXKpa20JOJZsvUjSxuxp0kpbRmibIJc9H_3rZjejDxCgfoA77v63uP7wGcBRHBEkuNJLOm2jjkSAQ8QpJKGok0k6n7K60Xs84juRvRUZVwK6u2yiUmOqDOJtLmyM0m3Rq1h4xcXk3fkZ0aZaur1QiNVagTc1W_BvXrVtx_-MmyYBYazRws6pPOvOtCFJ_juXMePbfixYhSd-QPFjuCaW9CvS-mqtiCFZVvw5rry5TlDpCB7U8TxZf3JOaq9Ma51zNy10CUFy9MLkThDZ4NLI5f3oRnJ5u9lrswbLeGNx1UDTpAwugdxDSTofZ5qoikXHEpDecbWjfRzai5faWpCDQlKhPSF4RFPos0TrHmJqoZz4I9qOWTXB2Ap8zuyRdpoIW1QuM0sgyMhcSZ-a4zGTZg3602mS68LKxlMU5sHBrQXK4_qV7jMvkN-uH_p09hvTPsdZPubXx_BBuLEjtGPm9CbVZ8qGPD3LP0pHo8380dlpM |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Solitary+Waves+in+Massive+Nonlinear+S%5EN-Sigma+Models&rft.jtitle=arXiv.org&rft.au=A+Alonso+Izquierdo&rft.au=Gonz%C3%A1lez+Le%C3%B3n%2C+M+%C3%81&rft.au=M+de+la+Torre+Mayado&rft.date=2010-02-09&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422&rft_id=info:doi/10.48550%2Farxiv.1002.1932 |