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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210769 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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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| ISSN: | 1815-0659 |