On a reduction of the multi-component KP hierarchy

DOI10.1088/0305-4470/32/36/308zbMath0951.37027OpenAlexW2126432359MaRDI QIDQ4947772

You-Jin Zhang

Publication date: 25 April 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/32/36/308

zbMATH Keywords

integrable hierarchiesbi-Hamiltonian structuresKadomtsev-Petviashvili hierarchyGelfand-Dickey hierarchy

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)

Related Items (6)

The semi-classical limit of Davey-Stewartson hierarchy ⋮ Quantum torus symmetries of multicomponent modified KP hierarchy and reductions ⋮ Virasoro symmetry of the constrained multicomponent Kadomtsev-Petviashvili hierarchy and its integrable discretization ⋮ \( \underline{p} \)-reduced multicomponent KP hierarchy and classical \(\mathcal{W} \)-algebras \(\mathcal{W}(\mathfrak{gl}_N,\underline{p})\) ⋮ Virasoro symmetry of the constrained multi-component \(q\)-KP and \(q\)-MKP hierarchies ⋮ Dispersionful analog of the Whitham hierarchy

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