Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system

DOI10.1023/A:1021706525301zbMath1033.37032MaRDI QIDQ1812451

I. M. Krichever, Yu. S. Vol'vovskii, A. A. Akhmet'shin

Publication date: 29 March 2004

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Lax pairKadomtsev-Petviashvili equationCalogero-Moser systemElliptic family

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (10)

On integrability of the deformed Ruijsenaars-Schneider system ⋮ Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system ⋮ Abelian pole systems and Riemann-Schottky-type problems ⋮ \(\mathcal D\)-bundles and integrable hierarchies ⋮ Elliptic families of solutions to constrained Toda hierarchy ⋮ An explicit characterization of Calogero–Moser systems ⋮ Tangential polynomials and matrix KdV elliptic solitons ⋮ Hyperelliptic $d$-osculating covers and rational surfaces ⋮ Field analogue of the Ruijsenaars-Schneider model ⋮ Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve

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