A natural geometric construction underlying a class of Lax pairs

DOI10.1134/S1995080216010054zbMath1380.37127arXiv1401.0612OpenAlexW2345524100MaRDI QIDQ280860

I. S. Krasil'shchik

Publication date: 10 May 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0612

zbMATH Keywords

differential coveringgeometry of PDEs

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear higher-order PDEs (35G20) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (8)

On the linearization covering technique and its application to integrable nonlinear differential systems ⋮ Integrability of anti-self-dual vacuum Einstein equations with nonzero cosmological constant: an infinite hierarchy of nonlocal conservation laws ⋮ On symmetries of the Gibbons-Tsarev equation ⋮ Nonlinear nonisospectral differential coverings for the hyper-CR equation of Einstein-Weyl structures and the Gibbons-Tsarev equation ⋮ Invariant solutions to the Khokhlov-Zabolotskaya singular manifold equation and their application ⋮ On the geometry of twisted symmetries: gauging and coverings ⋮ Integrability properties of some equations obtained by symmetry reductions ⋮ Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators

Cites Work

• Unnamed Item
• Non-homogeneous systems of hydrodynamic type possessing Lax representations
• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• Reductions of the Benney equations.

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