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Integrable boundary-value problem for the Volterra chain on the half-axis |
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| Authors: | V L Vereshchagin |
| Institution: | (1) Mathematics Institute with Computer Center, Ufa Scientific Center, Russian Academy of Sciences, Ufa |
| Abstract: | We study quasiperiodic (finite-gap) solutions of the Volterra chain satisfying an integrable boundary condition on the semiaxis. From the set of general finite-gap solutions, only those corresponding to the boundary-value problem are singled out, the relevant condition being expressed as a system of algebraic equations. |
| Keywords: | Volterra chain quasiperiodic (finite-gap) solution boundary-value problem Abel mapping Baker-Akhiezer function theta-function Riemann surface |
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