Lagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equation
DOI10.1007/s13324-022-00763-wzbMath1502.58003arXiv2207.07936OpenAlexW4309448520MaRDI QIDQ2102464
I. S. Krasil'shchik, Oleg I. Morozov
Publication date: 28 November 2022
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.07936
symmetriesrecursion operators5D Martínez Alonso-Shabat equationalgebras of Kac-Moody-typecotangent covering
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linearly degenerate partial differential equations and quadratic line complexes
- A class of Einstein-Weyl spaces associated to an integrable system of hydrodynamic type
- Symmetries and conservation laws of partial differential equations: Basic notions and results
- Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
- The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries
- The four-dimensional Martínez Alonso-Shabat equation: differential coverings and recursion operators
- Five-dimensional Lax-integrable equation, its reductions and recursion operator
- Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations
- Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
- On the Hamiltonian formalism for Korteweg-de Vries type hierarchies
- Deformations of \(W_{1}(n)\otimes A\) and modular semisimple Lie algebras with a solvable maximal subalgebra.
- On symmetries and cohomological invariants of equations possessing flat representations
- Classical \(R\)-matrices on Poisson algebras and related dispersionless systems
- On the horizontal gauge cohomology and nonremovability of the spectral parameter
- Nonlocal symmetries of integrable linearly degenerate equations: a comparative study
- The symbolic computation of integrability structures for partial differential equations
- Graded differential equations and their deformations: A computational theory for recursion operators
- Recursion operators in the cotangent covering of the rdDym equation
- Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
- A simple construction of recursion operators for multidimensional dispersionless integrable systems
- Model equation of the theory of solitons
- Coverings over Lax integrable equations and their nonlocal symmetries
- Hydrodynamic reductions and solutions of a universal hierarchy
- Non-abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation
- On recursion operators for symmetries of the Pavlov-Mikhalev equation
- Partner symmetries and non-invariant solutions of four-dimensional heavenly equations
- Recursion operators for dispersionless integrable systems in any dimension
- Hamiltonian Structures for General PDEs
- Integrable hydrodynamic chains
- Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability
- Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems
- Linearly degenerate hierarchies of quasiclassical SDYM type
- Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
This page was built for publication: Lagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equation
