Properties of the algebra Psd related to integrable hierarchies

DOI10.20310/2686-9667-2020-25-130-183-195zbMath1478.35248OpenAlexW3093565740WikidataQ114593367 ScholiaQ114593367MaRDI QIDQ5012423

Gerard Frantsisk Helminck, Elena A. Panasenko

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/vtamu180

zbMATH Keywords

Fredholm determinantsadjointDarboux transformationsKP hierarchystrict KP hierarchyLax equationsconstant term\(n\)-KdV hierarchy

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

• Bilinear equations for the strict KP hierarchy
• Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective
• Cauchy problems related to integrable deformations of pseudo differential operators
• Loop groups and equations of KdV type
• Fractional powers of operators and Hamiltonian systems
• Expressions in Fredholm determinants for solutions of the strict KP hierarchy
• Geometric solutions of the strict KP hierarchy
• Commuting flows and conservation laws for Lax equations
• Integrals of nonlinear equations of evolution and solitary waves
• Unnamed Item

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