Periodic problem for nonlinear Ablowitz model

DOI10.1007/BF01097470zbMath0793.35103OpenAlexW2095490451MaRDI QIDQ1325362

Yu. N. Sidorenko, Anatoliy K. Prykarpatsky

Publication date: 29 June 1994

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01097470

zbMATH Keywords

exact solutionsgradient methodLax representationquasiperiodiccompletely integrable Hamiltonian systemRiemann theta-functionfinite-zone integrationAblowitz dynamical systeminfinite- dimensional smooth manifold

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Algebrogeometric integration of the MNS equation, finite-gap solutions and their degeneration
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• Periodic solutions of the KdV equation
• Evolution equations possessing infinitely many symmetries
• A simple model of the integrable Hamiltonian equation

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