Elliptic solutions of nonlinear equations

DOI10.1007/BF01017194zbMath0760.35021OpenAlexW2004360221MaRDI QIDQ1814069

Iskander A. Taimanov

Publication date: 25 June 1992

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017194

zbMATH Keywords

Schrödinger operatorfinite-gap integrationelliptic potentialsPrym manifolds

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Theta functions and abelian varieties (14K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Theta functions and curves; Schottky problem (14H42)

Related Items (5)

Treibich-Verdier potentials and the stationary (m)KdV hierarchy ⋮ Picard potential and Hill's equation on a torus ⋮ An explicit characterization of Calogero–Moser systems ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach

Cites Work

• Poisson brackets associated with the classical Yang-Baxter equation
• Unnamed Item

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