On deformations of the dispersionless Hirota equation

DOI10.1016/j.geomphys.2018.01.022zbMath1392.35263arXiv1704.05666OpenAlexW2609292550MaRDI QIDQ1745681

Wojciech Kryński

Publication date: 18 April 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05666

zbMATH Keywords

deformationintegrable systemtwistor spaceEinstein-Weyl structuredispersionless Hirota equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Twistor methods in differential geometry (53C28) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Differential geometry of webs (53A60) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (5)

Second-order PDEs in 3D with Einstein-Weyl conformal structure ⋮ Deformations of dispersionless Lax systems ^* ⋮ Webs, Nijenhuis operators, and heavenly PDEs ⋮ On an integrable multi-dimensionally consistent 2 n  + 2 n -dimensional heavenly-type equation ⋮ Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates

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