Geometric solutions of the strict KP hierarchy

DOI10.1134/S0040577919010045zbMath1416.37062OpenAlexW2937527959WikidataQ128055597 ScholiaQ128055597MaRDI QIDQ2313819

Yanyan Li

Publication date: 23 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0040577919010045

zbMATH Keywords

Grassmannianpseudodifferential operatorKP hierarchywave function

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) 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 (8)

A geometric construction of solutions of the strict \(\mathrm{dKP}(\Lambda_0)\) hierarchy ⋮ Extensions of the discrete KP hierarchy and its strict version ⋮ Reductions of the strict KP hierarchy ⋮ Expressions in Fredholm determinants for solutions of the strict KP hierarchy ⋮ Darboux transformations for the strict KP hierarchy ⋮ Properties of the algebra Psd related to integrable hierarchies ⋮ Scaling invariance of the strict KP hierarchy ⋮ Homogeneous spaces yielding solutions of the k[S –hierarchy and its strict version]

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
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
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