Differential-geometric structure and the Lax-Sato integrability of a class of dispersionless heavenly-type equations

DOI10.1007/s11253-018-1503-2zbMath1423.35013OpenAlexW2895454465WikidataQ115380249 ScholiaQ115380249MaRDI QIDQ2274516

Oksana E. Hentosh, Mykola M. Prytula, Yarema A. Prykarpatsky

Publication date: 20 September 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1503-2

zbMATH Keywords

Kupershmidt heavenly equationsShabat-type

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

New completely integrable dispersionless dynamical system of heavenly type generated by vector fields on a torus

Cites Work

• The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries
• Classical M. A. Buhl problem, its Pfeiffer-Sato solutions, and the classical Lagrange-d'Alembert principle for the integrable heavenly-type nonlinear equations
• Lie-algebraic structure of Lax-Sato integrable heavenly equations and the Lagrange-d'Alembert principle
• Hydrodynamic reductions and solutions of a universal hierarchy
• Einstein–Weyl geometry, dispersionless Hirota equation and Veronese webs
• The Kupershmidt hydrodynamic chains and lattices
• Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems

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