O. Morozov

activity

20012025

most citedThe four-dimensional Martinez Alonso--Shabat equation: reductions and nonlocal symmetries

46 citations · 306 across the 40 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

nlin.SI2015★ 11 cited

Infinitely many nonlocal conservation laws for the $A B C$ equation with $A + B + C \neq = 0$

I. S. Krasil'shchik, A. Sergyeyev, O. I. Morozov

We construct an infinite hierarchy of nonlocal conservation laws for the $A B C$ equation $A u_{t} u_{x y} + B u_{x} u_{t y} + C u_{y} u_{t x} = 0$ , where $A, B, C$ are constants and $A+B+C\neq…

math.DG2015

Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations

Oleg I. Morozov

We discuss a relation between deformed cohomologies of symmetry pseudo-groups and coverings of differential equations. Examples include the potential Khokhlov--Zabolotskaya equatio…

nlin.SI2015★ 6 cited

A Bäcklund transformation between 4D Mart\'ınez Alonso -- Shabat and Ferapontov -- Khusnutdinova equations

Boris Kruglikov, Oleg Morozov

We find a Bäcklund transformation between 4-dimensional Mart\'ınez Alonso -- Shabat and Ferapontov -- Khusnutdinova equations.

Infinitely many nonlocal conservation laws for the ABC equation with A+B+C=0

Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations

A Bäcklund transformation between 4D Mart\'ınez Alonso -- Shabat and Ferapontov -- Khusnutdinova equations

Infinitely many nonlocal conservation laws for the $A B C$ equation with $A + B + C \neq = 0$