scientific article

zbMath0556.35114MaRDI QIDQ3219238

Alexander Ivanovich Bobenko, Mikhail Vasilievich Babich, Vladimir B. Matveev

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

symmetriesintegrable nonlinear equationsfinite-zone solutionsreduction of Riemann theta-functions to lower genera

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special algebraic curves and curves of low genus (14H45) Theta functions and abelian varieties (14K25) Partial differential equations of mathematical physics and other areas of application (35Q99) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Algebraic functions and function fields in algebraic geometry (14H05)

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Picard potential and Hill's equation on a torus ⋮ Star-triangle equations and some properties of algebraic curves connected with the integrable chiral Potts model ⋮ Elliptic solutions of the Korteweg-de Vries equation ⋮ Covers of tori: genus two ⋮ The reduction of solutions of some integrable partial differential equations ⋮ 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 ⋮ Real algebrogeometric solutions of the Landau-Lifshitz equation in Prym theta functions

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