Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Fromm, Samuel
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210769
• 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

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...