A Poisson-Lie framework for rational reductions of the KP hierarchy

DOI10.1023/A:1013333000134zbMATH Open1168.37319OpenAlexW2106823309MaRDI QIDQ5959730

Boris A. Khesin

Publication date: 11 April 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013333000134

zbMATH Keywords

Krichever theorem on rational reductions of the Kadomtsev-Petviashvili hierarchypseudo-differential symbolsrational reductions in the Lie group of q-difference operators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

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Poisson structure for the KdV equation ⋮ Title not available (Why is that?) ⋮ Rational solutions of the KP equation through symmetry reductions: Coherent structures and other solutions ⋮ Complex form, reduction and Lie-Poisson structure for the nonlinearized spectral problem of the Heisenberg hierarchy ⋮ Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction

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