Second-order PDEs in 3D with Einstein-Weyl conformal structure
DOI10.1007/s00023-021-01140-2zbMath1492.35333arXiv2104.02716OpenAlexW3146588112WikidataQ114232014 ScholiaQ114232014MaRDI QIDQ2145158
S. Berjawi, Boris S. Kruglikov, Vladimir Novikov, Evgeny V. Ferapontov
Publication date: 17 June 2022
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.02716
Einstein-Weyl geometrycharacteristic varietycontact symmetrydispersionless integrabilitydispersionless Lax pairMonge-Ampère property
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) PDEs in connection with relativity and gravitational theory (35Q75) Applications of local differential geometry to the sciences (53B50) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Other special differential geometries (53A40) Einstein equations (35Q76) Monge-Ampère equations (35J96)
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Cites Work
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- Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution
- A class of Einstein-Weyl spaces associated to an integrable system of hydrodynamic type
- Integrable Lagrangians and modular forms
- The (3+1)-dimensional Monge-Ampère equation in discontinuity wave theory: Application of a reciprocal transformation
- On deformations of the dispersionless Hirota equation
- Einstein-Weyl spaces and dispersionless Kadomtsev-Petviashvili equation from Painlevé I and II
- On the integrability of \((2+1)\)-dimensional quasilinear systems
- Symmetry and the Chazy equation
- Local constraints on Einstein-Weyl geometries: The 3-dimensional case
- Dispersionless Hirota equations and the genus 3 hyperelliptic divisor
- Veronese webs and nonlinear PDEs
- Integrable background geometries
- Dispersionless integrable systems in 3D and Einstein-Weyl geometry
- Integrability via geometry: dispersionless differential equations in three and four dimensions
- On the Einstein-Weyl and conformal self-duality equations
- Non-Hamiltonian generalizations of the dispersionless 2DTL hierarchy
- An interpolating dispersionless integrable system
- Minitwistor spaces and Einstein-Weyl spaces
- Killing vectors in self-dual, Euclidean Einstein spaces
- Einstein-Weyl spaces and SU(∞) Toda fields
- A uniqueness criterion for solutions of the Robin problem for a system in elasticity theory in exterior domains
- Integrability of Dispersionless Hirota-Type Equations and the Symplectic Monge–Ampère Property
- On a class of 2D integrable lattice equations
- Integrable Equations of the Dispersionless Hirota type and Hypersurfaces in the Lagrangian Grassmannian
- Sur une classe d'espaces de Weyl
- Einstein-Weyl geometry, the dKP equation and twistor theory
- Einstein-Weyl structures from hyper-Kähler metrics with conformal Killing vectors
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