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Admissible Boundary Values for the Gerdjikov–Ivanov Equation with Asymptotically Time-Periodic Boundary Data
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Gerdjikov–Ivanov equation in the quarter plane with Dirichlet boundary data and Neumann value converging to single exponentials $\alpha \mathrm{e}^{{\rm i}\omega t}$ and $c\mathrm{e}^{\mathrm{i}\omega t}$ as $t\to\infty$, respectively. Under the assumption that the initial data decay as $x\to\infty$, we derive necessary conditions on the parameters $\alpha$, $\omega$, $c$ for the existence of a solution of the corresponding initial boundary value problem.
Keywords: initial-boundary value problem, integrable system, long-time asymptotics. 
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     author = {Samuel Fromm},
     title = {Admissible {Boundary} {Values} for the {Gerdjikov{\textendash}Ivanov} {Equation} with {Asymptotically} {Time-Periodic} {Boundary} {Data}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2020},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a78/}
}
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Samuel Fromm. Admissible Boundary Values for the Gerdjikov–Ivanov Equation with Asymptotically Time-Periodic Boundary Data. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a78/

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