P. Holba

most cited2D reductions of the equation

u_{y y} = u_{t x} + u_{y} u_{xx} - u_{x} u_{x y}

and their nonlocal symmetries

4 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2020

Nonexistence of local conservation laws for the generalized Swift-Hohenberg equation

Pavel Holba

We prove that the generalized Swift--Hohenberg equation with nonlinear right-hand side, a natural generalization of the Swift--Hohenberg equation arising in physics and describing…

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★ 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…

Nonexistence of local conservation laws for the generalized Swift-Hohenberg equation

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

2D reductions of the equation uyy​=utx​+uy​uxx​−ux​uxy​ and their nonlocal symmetries

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