46 citations · 306 across the 40 of their papers we have counts for
10 papers · 1 filter
Integrable dispersionless PDE in 4D, their symmetry pseudogroups and deformations
Boris Kruglikov, Oleg Morozov
We study integrable non-degenerate Monge-Ampere equations of Hirota type in 4D and demonstrate that their symmetry algebras have a distinguished graded structure, uniquely determin…
SDiff(2) and uniqueness of the Plebański equation
Boris Kruglikov, Oleg Morozov
The group of area preserving diffeomorphisms showed importance in the problems of self-dual gravity and integrability theory. We discuss how representations of this infinite-dimens…
A Covering for the dKP-hyper CR Interpolating Equation and Multi-Valued Einstein-Weyl Structures
Oleg I. Morozov
We apply the technique of integrable extensions to the symmetry pseudo-group of the dKP-hyper CR interpolating equation. This allows us to find a covering for this equation and to…
Cartan's structure of symmetry pseudo-group and a covering for the modified Khokhlov-Zabolotskaya equation
O. I. Morozov
We apply Cartan's method of equivalence to find a covering for the modified Khokhlov - Zabolotskaya equation.
Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches
Oleg I. Morozov
In this review article we discuss four recent methods for computing Maurer-Cartan structure equations of symmetry groups of differential equations. Examples include solution of the…
Contact Equivalence of the Generalized Hunter - Saxton Equation and the Euler - Poisson Equation
Oleg I. Morozov
We present a contact transformation of the generalized Hunter--Saxton equation to the Euler--Poisson equation with special values of the Ovsiannikov invariants. We also find the ge…