S-functions, reductions and hodograph solutions of the rth dispersionless modified KP and Dym hierarchies

DOI10.1088/0305-4470/37/46/007zbMath1070.35070arXivnlin/0405028OpenAlexW3103054209MaRDI QIDQ4660401

Manuel Mañas

Publication date: 21 March 2005

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

Full work available at URL: https://arxiv.org/abs/nlin/0405028

zbMATH Keywords

reductionKP hierarchyhierarchieshydrodynamic-type systems\(r\)th dispersionless Dym hierarchies\(r\)th dispersionless modified KP hierarchies\(S\)-function formulationOrlov functions

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) Solutions to PDEs in closed form (35C05)

Related Items (10)

On a class of three-dimensional integrable Lagrangians ⋮ Löwner equations and reductions of dispersionless hierarchies ⋮ The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability ⋮ Multi-variable reductions of the dispersionless DKP hierarchy ⋮ Growth processes related to the dispersionless Lax equations ⋮ Additional symmetries and Bäcklund transformations for the dispersionless Harry Dym hierarchy ⋮ Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor ⋮ Dispersionless Pfaff-Toda hierarchy and elliptic Löwner equation ⋮ Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation ⋮ Hierarchies of Manakov-Santini type by means of Rota-Baxter and other identities

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