A note on the modified KP hierarchy and its (yet another) dispersionless limit

DOI10.1023/A:1014960602537zbMath1004.37048arXivnlin/0111012OpenAlexW1498310952MaRDI QIDQ1599586

Takashi Takebe

Publication date: 11 June 2002

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

Full work available at URL: https://arxiv.org/abs/nlin/0111012

zbMATH Keywords

twistor constructiondispersionless mKP hierarchiesdispersionless Toda lattice hierarchyRiemann-Hilbert type construction

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) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (10)

On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries ⋮ Quantum torus symmetries of multicomponent modified KP hierarchy and reductions ⋮ Solving the constrained modified KP hierarchy by gauge transformations ⋮ Virasoro symmetries of the constrained dispersionless mKP hierarchy ⋮ A new extended dispersionless mKP hierarchy and hodograph solution ⋮ On the dispersionless Dym hierarchy of hydrodynamic type: two approaches ⋮ Classical tau-function for quantum spin chains ⋮ The gauge transformation of the modified KP hierarchy ⋮ \(q\)-analogue of modified KP hierarchy and its quasi-classical limit ⋮ Sato–Bäcklund transformations and string equations of the mKP hierarchy

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