Finite-dimensional tau functions of the universal character hierarchy

DOI10.1134/S0040577921030053OpenAlexW3174049710MaRDI QIDQ2036346

Yanyan Li

Publication date: 29 June 2021

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

Full work available at URL: https://doi.org/10.1134/s0040577921030053

zbMATH Keywords

KP hierarchyfinite GrassmannianSchubert decompositionGekhtman-Kasman formulauniversal character hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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Cites Work

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• FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS
• KP solitons in shallow water
• Finite dimensional Kadomtsev-Petviashvili τ-functions. I. Finite Grassmannians
• KP solitons, total positivity, and cluster algebras

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