Integrable partial differential equations and Lie-Rinehart algebras
DOI10.1016/j.geomphys.2022.104661zbMath1498.35017arXiv2111.10886OpenAlexW3215200716WikidataQ114173272 ScholiaQ114173272MaRDI QIDQ2676639
Publication date: 28 September 2022
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.10886
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) Applications of Lie algebras and superalgebras to integrable systems (17B80) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)
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- A unified approach to computation of integrable structures
- Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations
- A class of Einstein-Weyl spaces associated to an integrable system of hydrodynamic type
- Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
- Geometry of jet spaces and integrable systems
- Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
- Cartan's structure of symmetry pseudo-group and coverings for the \(r\)-th modified dispersionless Kadomtsev-Petviashvili equation
- On the structure of Lie pseudo-groups
- Nonlinear integrable equations. Recursion operators, group-theoretical and Hamiltonian structures of soliton equations
- Bäcklund transformations and their applications
- On the Hamiltonian formalism for Korteweg-de Vries type hierarchies
- Lie algebroid cohomology and Lie algebroid extensions
- The symbolic computation of integrability structures for partial differential equations
- Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations
- Contact integrable extensions and differential coverings for the generalized \((2 + 1)\)-dimensional dispersionless Dym equation
- Nonlinear nonisospectral differential coverings for the hyper-CR equation of Einstein-Weyl structures and the Gibbons-Tsarev equation
- Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation
- Dispersionless Hirota equations and the genus 3 hyperelliptic divisor
- Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras
- Maurer-Cartan forms and the structure of Lie pseudo-groups
- Classifying integrable Egoroff hydrodynamic chains
- Maurer–Cartan equations for Lie symmetry pseudogroups of differential equations
- Poisson cohomology and quantization.
- THE COHOMOLOGY OF THE Der COMPLEX
- Prolongation structures of nonlinear evolution equations
- Extensions of Lie-Rinehart algebras and the Chern-Weil construction
- Integrable hydrodynamic chains
- Lie Algebroids and Lie Pseudoalgebras
- Nonabelian holomorphic Lie algebroid extensions
- Differential Forms on General Commutative Algebras
- Lax representations via twisted extensions of infinite-dimensional Lie algebras: some new results
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