68 citations · 116 across the 16 of their papers we have counts for
16 papers
On nonlinear equations connected with six-dimensional Plebanski space
V. Dryuma, L. Bogdanov
An examples of Monge-Ampere equations connected with six-dimensional generalization of the Plebanski four-dimensional space are considered. Their particular solutions are construct…
Eight-dimensional Ricci-flat space related with the KP equation
Valery Dryuma
Eight-dimensional the Ricci-flat space defined by solutions of the Kadomtsev-Petviashvili equatin is presented. Its properties are discussed
On Geometry of the Rössler system of equations
Valery Dryuma
On a basis of theory of Riemann extension of the space of constant affine connection associated with the Rössler system of equations relations between its parameters are investigat…
Riemann geometry in theory of the first order systems of equations
Valery Dryuma
Theory of Riemann Extensions of the spaces with constant affine connection for the studying of the properties of nonlinear the first order systems of differential equations is prop…
Dunajski generalization of the second heavenly equation: dressing method and the hierarchy
L. V. Bogdanov, V. S. Dryuma, S. V. Manakov
Dunajski generalization of the second heavenly equation is studied. A dressing scheme applicable to Dunajski equation is developed, an example of constructing solutions in terms of…
On the dressing method for Dunajski anti-self-duality equation
L. V. Bogdanov, V. S. Dryuma, S. V. Manakov
A dressing scheme applicable to Dunajski equation is developed. Simple example of constructing solutions in terms of implicit functions is considered. Dunajski equation hierarchy i…