Webs, Nijenhuis operators, and heavenly PDEs
A Panasyuk, A Szereszewski - Classical and Quantum Gravity, 2023 - iopscience.iop.org
Abstract In 1989 Mason and Newman (Commun. Math. Phys. 121 659–68) proved that there
is a 1-1-correspondence between self-dual metrics satisfying Einstein vacuum equation (in …
is a 1-1-correspondence between self-dual metrics satisfying Einstein vacuum equation (in …
Deformations of dispersionless Lax systems
W Kryński - Classical and Quantum Gravity, 2023 - iopscience.iop.org
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Isospectral deformation of the reduced quasi-classical self-dual Yang–Mills equation
OI Morozov - Differential Geometry and its Applications, 2021 - Elsevier
We derive a new four-dimensional partial differential equation with the isospectral Lax
representation by shrinking the symmetry algebra of the reduced quasi-classical self-dual …
representation by shrinking the symmetry algebra of the reduced quasi-classical self-dual …
Canonical reductions of the TED equation: integrable deformations of heavenly-type equations
BG Konopelchenko, WK Schief - Journal of Physics A …, 2024 - iopscience.iop.org
Natural classes of integrability-preserving reductions of a 4+ 4-dimensional generalisation
(TED equation) of the general heavenly equation are recorded. In particular, these …
(TED equation) of the general heavenly equation are recorded. In particular, these …
Second-order PDEs with integrable symbols
S Berjawi - 2021 - repository.lboro.ac.uk
The aim of this project is to study nonlinear second order partial differential equations
(PDEs) in three and four dimensions (3D, 4D) and establish integrability of certain classes of …
(PDEs) in three and four dimensions (3D, 4D) and establish integrability of certain classes of …