O. I. Morozov · wovepaper

activity

20132025

most citedSymmetry reductions and exact solutions of Lax integrable

3

-dimensional systems

34 citations · 79 across the 7 of their papers we have counts for

collaborators

7 papers

Integrability structures of the $(2 + 1)$ -dimensional Euler equation

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

We construct local and nonlocal Hamiltonian structures and variational symplectic structures for the $(2 + 1)$ -dimensional Euler equation in the vorticity form and study the action o…

nlin.SI2017★ 4 cited

2D reductions of the equation $u_{y y} = u_{t x} + u_{y} u_{xx} - u_{x} u_{x y}$ and their nonlocal symmetries

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

We consider the 3D equation $u_{y y} = u_{t x} + u_{y} u_{xx} - u_{x} u_{x y}$ and its 2D reductions: (1) $u_{y y} = (u_{y} + y) u_{xx} - u_{x} u_{x y} - 2$ (which is equivalent to the Gibbons-Tsarev equ…

nlin.SI2016★ 8 cited

Nonlocal symmetries of Lax integrable equations: a comparative study

H. Baran, I. S. Krasil'shchik, O. I. Morozov +1

We continue here the study of Lax integrable equations. We consider four three-dimensional equations: (1) the rdDym equation $u_{t y} = u_{x} u_{x y} - u_{y} u_{xx}$ , (2) the 3D Pavlov e…

nlin.SI2015★ 18 cited

Coverings over Lax integrable equations and their nonlocal symmetries

H. Baran, I. S. Krasil'shchik, O. I. Morozov +1

Using the Lax representation with non-removable parameter, we construct two hierarchies of nonlocal conservation laws for the 3D rdDym equation $u_{t y} = u_{x} u_{x y} - u_{y} u_{xx}$ and…

nlin.SI2014★ 4 cited

Integrability properties of some symmetry reductions

H. Baran, I. S. Krasil'shchik, O. I. Morozov +1

In our recent paper [H. Baran, I.S. Krasil'shchik, O.I. Morozov, P. Voj{č}{á}k, Symmetry reductions and exact solutions of Lax integrable $3$ -dimensional systems, Journal of Nonlin…

nlin.SI2014★ 34 cited

Symmetry reductions and exact solutions of Lax integrable $3$ -dimensional systems

H. Baran, I. S. Krasil'shchik, O. I. Morozov +1

We present a complete description of $2$ -dimensional equations that arise as symmetry reductions of fourf $3$ -dimensional Lax-integrable equations: (1) the universal hierarchy equa…

nlin.SI2013★ 11 cited

Higher symmetries of cotangent coverings for Lax-integrable multi-dimensional partial differential equations and Lagrangian deformations

H. Baran, I. S. Krasil'shchik, O. I. Morozov +1

We present examples of Lax-integrable multi-dimensional systems of partial differential equations with higher local symmetries. We also consider Lagrangian deformations of these eq…