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 2017Show all

2 papers · 1 filter

nlin.SI2017★ 2 cited

Reductions of the universal hierarchy and rdDym equations and their symmetry properties

P. Holba, I. S. Krasil'shchik, O. I. Morozov +1

We consider the equations $u_{y y} = u_{y} u_{xx} - (u_{x} + u) u_{x y} + u_{x} u_{y}$ and $u_{y y} = (u_{x} + x) u_{x y} - (u_{xx} + 2) u_{y}$ that arise as reductions of the universal hierarchy and…

nlin.SI2017★ 12 cited

Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations

Oleg I. Morozov

The important unsolved problem in theory of integrable systems is to find conditions guaranteeing existence of a Lax representation for a given PDE. The use of the exotic cohomolog…