Nonlocal symmetries of Plebański’s second heavenly equation

DOI10.1080/14029251.2018.1452669zbMath1411.58007OpenAlexW2794339833MaRDI QIDQ5743517

Aleksandra Lelito, Oleg I. Morozov

Publication date: 10 May 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2018.1452669

zbMATH Keywords

Lax pairdifferential coveringnonlocal symmetriesPlebański's second heavenly equation

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Pseudogroups and differentiable groupoids (58H05)

Related Items (1)

Nonlinear nonisospectral differential coverings for the hyper-CR equation of Einstein-Weyl structures and the Gibbons-Tsarev equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A unified approach to computation of integrable structures
• Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations
• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• Geometry of jet spaces and integrable systems
• The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries
• On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system
• Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
• Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations
• Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations
• On the integrability of symplectic Monge-Ampère equations
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Applications of symmetry methods to partial differential equations
• Cohomology of infinite-dimensional Lie algebras and characteristic classes of foliations
• A self-dual Yang-Mills hierarchy and its reductions to integrable systems in \(1+1\) and \(2+1\) dimensions
• Classical \(R\)-matrices on Poisson algebras and related dispersionless systems
• Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations
• Coverings over Lax integrable equations and their nonlocal symmetries
• NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY
• The dual modified Korteweg-de Vries–Fokas–Qiao equation: Geometry and local analysis
• SDiff(2) and uniqueness of the Plebański equation
• Geometric Integrability of the Camassa–Holm Equation. II
• Partner symmetries and non-invariant solutions of four-dimensional heavenly equations
• Infinite hierarchies of nonlocal symmetries of the Chen–Kontsevich–Schwarz type for the oriented associativity equations
• Non-Abelian infinite algebra of generalized symmetries for the SDiff(2)Toda equation
• Symmetry Reductions of Second Heavenly Equation and 2+1-Dimensional Hamiltonian Integrable Systems
• Multi-Hamiltonian structure of Plebanski's second heavenly equation
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries

This page was built for publication: Nonlocal symmetries of Plebański’s second heavenly equation