On the heavenly equation hierarchy and its reductions

DOI10.1088/0305-4470/39/38/006zbMath1099.37049arXivnlin/0512074OpenAlexW3106158572MaRDI QIDQ5492728

B. G. Konopelchenko, L. V. Bogdanov

Publication date: 16 October 2006

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

Full work available at URL: https://arxiv.org/abs/nlin/0512074

zbMATH Keywords

generating equationshyper-Kähler hierarchyreduced hierarchies.

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (8)

Geometric structure of the classical Lagrange-d'Alembert principle and its application to integrable nonlinear dynamical systems ⋮ Lie-algebraic structure of Lax-Sato integrable heavenly equations and the Lagrange-d'Alembert principle ⋮ Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. II ⋮ Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. I ⋮ On the linearization covering technique and its application to integrable nonlinear differential systems ⋮ On the integrability of symplectic Monge-Ampère equations ⋮ Classical M. A. Buhl problem, its Pfeiffer-Sato solutions, and the classical Lagrange-d'Alembert principle for the integrable heavenly-type nonlinear equations ⋮ Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators

This page was built for publication: On the heavenly equation hierarchy and its reductions