The quasiclassical limit of the modified KP hierarchy

DOI10.1088/0305-4470/23/6/013zbMath0713.35080OpenAlexW2080273331MaRDI QIDQ3198252

Boris A. Kupershmidt

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/6/013

zbMATH Keywords

Lax representationKadomtsev-Petviashvili hierarchyquasiclassical limit

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (11)

The semi-classical limit of Davey-Stewartson hierarchy ⋮ Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical ∂̄-dressing method ⋮ Additional symmetries and solutions of the dispersionless KP hierarchy ⋮ Virasoro symmetries of the constrained dispersionless mKP hierarchy ⋮ Extended Equations of Long Waves ⋮ Additional symmetries and Bäcklund transformations for the dispersionless Harry Dym hierarchy ⋮ On the Miura Map between the dispersionless KP and dispersionless modified KP hierarchies ⋮ Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations ⋮ Coisotropic deformations of associative algebras and dispersionless integrable hierarchies ⋮ Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor ⋮ Cartan's structure of symmetry pseudo-group and coverings for the \(r\)-th modified dispersionless Kadomtsev-Petviashvili equation

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