Schlesinger–Bäcklund transformations for the N-component KP

DOI10.1063/1.532423zbMath1004.37056OpenAlexW1983625426MaRDI QIDQ4260516

Johan W. van de Leur

Publication date: 15 December 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532423

zbMATH Keywords

Kadomtsev-Petviashvili hierarchyKP tau functionSchlesinger-Bäcklund transformation

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (11)

Links between \((\gamma_n, \sigma_k)\)-KP hierarchy, \((\gamma_n, \sigma_k)\)-mKP hierarchy, and \((2+1)-(\gamma_n, \sigma_k)\)-Harry Dym hierarchy ⋮ The semi-classical limit of Davey-Stewartson hierarchy ⋮ The n-component KP hierarchy and representation theory ⋮ A new extended dispersionless mKP hierarchy and hodograph solution ⋮ A new extended KP hierarchy ⋮ A generalized dressing approach for solving the extended KP and the extended mKP hierarchy ⋮ On a new generalization of dispersionless Kadomtsev–Petviashvili hierarchy and its reductions ⋮ A new extended q-deformed KP hierarchy ⋮ New extension of dispersionless Harry Dym hierarchy ⋮ A new multicomponent CKP hierarchy and solutions ⋮ KP constraints from reduced multi-component hierarchies

Cites Work

• Solitons and infinite dimensional Lie algebras
• The homogeneous realization of the basic representation of \(A_ 1^{(1)}\) and the Toda lattice
• Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials
• Partitions, vertex operator constructions and multi-component KP equations
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• String-orthogonal polynomials, string equations, and 2-Toda symmetries

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