Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data
We consider the Gerdjikov-Ivanov equation in the quarter plane with Dirichlet boundary data and Neumann value converging to single exponentials αeⁱωᵗ and ceⁱωᵗ as t → ∞, respectively. Under the assumption that the initial data decay as → ∞, we derive necessary conditions on the parameters α, ω, c f...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210769 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data. Samuel Fromm.SIGMA 16 (2020), 079, 15 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862749545258024960 |
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| author | Fromm, Samuel |
| author_facet | Fromm, Samuel |
| citation_txt | Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data. Samuel Fromm.SIGMA 16 (2020), 079, 15 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider the Gerdjikov-Ivanov equation in the quarter plane with Dirichlet boundary data and Neumann value converging to single exponentials αeⁱωᵗ and ceⁱωᵗ as t → ∞, respectively. Under the assumption that the initial data decay as → ∞, we derive necessary conditions on the parameters α, ω, c for the existence of a solution of the corresponding initial boundary value problem.
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| first_indexed | 2026-04-17T20:06:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210769 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T20:06:39Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fromm, Samuel 2025-12-17T14:31:37Z 2020 Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data. Samuel Fromm.SIGMA 16 (2020), 079, 15 pages 1815-0659 2020 Mathematics Subject Classification: 37K15; 35Q15 arXiv:2003.05765 https://nasplib.isofts.kiev.ua/handle/123456789/210769 https://doi.org/10.3842/SIGMA.2020.079 We consider the Gerdjikov-Ivanov equation in the quarter plane with Dirichlet boundary data and Neumann value converging to single exponentials αeⁱωᵗ and ceⁱωᵗ as t → ∞, respectively. Under the assumption that the initial data decay as → ∞, we derive necessary conditions on the parameters α, ω, c for the existence of a solution of the corresponding initial boundary value problem. The author thanks Jonatan Lenells for helpful discussions. The author also thanks the anonymous referees for many helpful suggestions. Support is acknowledged from the European Research Council, Grant Agreement No. 682537. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data Article published earlier |
| spellingShingle | Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data Fromm, Samuel |
| title | Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data |
| title_full | Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data |
| title_fullStr | Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data |
| title_full_unstemmed | Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data |
| title_short | Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data |
| title_sort | admissible boundary values for the gerdjikov-ivanov equation with asymptotically time-periodic boundary data |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210769 |
| work_keys_str_mv | AT frommsamuel admissibleboundaryvaluesforthegerdjikovivanovequationwithasymptoticallytimeperiodicboundarydata |