Homogeneous spaces yielding solutions of the k[S] –hierarchy and its strict version

DOI10.20310/2686-9667-2021-26-135-315-336zbMath1488.22013OpenAlexW3207678007MaRDI QIDQ5012463

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Publication date: 24 November 2021

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu234

zbMATH Keywords

homogeneous spacesintegrable hierarchiesLax equationswave matricesSato-Wilson form

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) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Cites Work

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• Loop groups and equations of KdV type
• Integrable hierarchies in the \(\mathbb{N} \times \mathbb{N}\)-matrices related to powers of the shift operator
• Geometric solutions of the strict KP hierarchy
• Darboux Transformations for the KP Hierarchy in the Segal-Wilson Setting

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