On a theorem of Picard

DOI10.1090/S0002-9939-98-04668-1zbMath1125.34347OpenAlexW1954637729MaRDI QIDQ4383097

W. Sticka, Friedrich Gesztesy

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04668-1

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) General spectral theory of ordinary differential operators (34L05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Meromorphic functions of one complex variable (general theory) (30D30) Elliptic functions and integrals (33E05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items

Elliptic solitons and Gröbner bases ⋮ Riccati differential equations with elliptic coefficients. II ⋮ An explicit characterization of Calogero–Moser systems ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ Riccati differential equations with elliptic coefficients ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach ⋮ On a theorem of Halphen and its application to integrable systems

Cites Work

• A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy
• Picard potential and Hill's equation on a torus
• On Picard potentials
• Treibich-Verdier potentials and the stationary (m)KdV hierarchy
• Lamé Potentials and the Stationary (m)KdV Hierarchy
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