An elementary approach to the polynomial \(\tau\)-functions of the KP-hierarchy

DOI10.1007/BF02551166zbMath0983.37088MaRDI QIDQ1586695

Gregorio Falqui, Jorge P. Zubelli, Marco Pedroni, Franco Magri

Publication date: 23 November 2000

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

zbMATH Keywords

Riccati equationKP hierarchy\(\tau\)-functionbi-Hamiltonian manifold

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

Huygens' principle, Dirac operators, and rational solutions of the AKNS hierarchy ⋮ Super KP equations and Darboux transformations: Another perspective on the Jacobian super KP hierarchy

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