On Picard potentials

zbMath0846.35119MaRDI QIDQ1891579

Friedrich Gesztesy, Rudi Weikard

Publication date: 13 July 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

elliptic finite gap solutionsstationary Korteweg-de Vries hierarchytheorem of Picard

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) KdV equations (Korteweg-de Vries equations) (35Q53) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

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Treibich-Verdier potentials and the stationary (m)KdV hierarchy ⋮ Picard potential and Hill's equation on a torus ⋮ Orbital bifurcations and shoaling of cnoidal waves ⋮ On the link between the Sparre equation and Darboux-Treibich-Verdier equation ⋮ Finite-gap solutions of the Fuchsian equations ⋮ An explicit characterization of Calogero–Moser systems ⋮ On metrics of curvature 1 with four conic singularities on tori and on the sphere ⋮ On a theorem of Picard ⋮ Differential Resultant, Computer Algebra and Completely Integrable Dynamical Systems ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ Non-selfadjoint periodic Dirac operators with finite-band spectra ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach

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