Expressions in Fredholm determinants for solutions of the strict KP hierarchy

DOI10.1134/S0040577919050027zbMath1429.37038OpenAlexW2948038460MaRDI QIDQ2286855

Yanyan Li

Publication date: 23 January 2020

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

Full work available at URL: https://doi.org/10.1134/s0040577919050027

zbMATH Keywords

linearizationFredholm determinantline bundlepseudodifferential operatorKP hierarchywave function\( \tau \)-functionoscillating function

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 algebraic geometry, complex analysis, and special functions (37K20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

Properties of the algebra Psd related to integrable hierarchies

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
• The structure of Hilbert flag varieties
• A geometric construction of solutions of the strict \(\mathrm{dKP}(\Lambda_0)\) hierarchy
• Geometric solutions of the strict KP hierarchy
• La théorie de Fredholm
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