A. V. Zhiber

activity

20052012

most citedThe Klein-Gordon Equation and Differential Substitutions of the Form

v = φ (u, u_{x}, u_{y})

7 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

nlin.SI2012

Characteristic Lie rings and symmetries of differential Painlevé I and Painlevé III equations

O. S. Kostrigina, A. V. Zhiber

Two-component hyperbolic system of equations generated by ordinary differential Painlevé I \[ u_{yy}=6u^2+y \] and Painlevé III \[ yuu_{yy}=yu^2_{y}-uu_y+δy+βu+αu^3 +γyu^4 \] equat…

nlin.SI2011★ 7 cited

The Klein-Gordon Equation and Differential Substitutions of the Form $v = φ (u, u_{x}, u_{y})$

Mariya N. Kuznetsova, Asli Pekcan, Anatoliy V. Zhiber

We present the complete classification of equations of the form $u_{x y} = f (u, u_{x}, u_{y})$ and the Klein-Gordon equations $v_{x y} = F (v)$ connected with one another by differential substi…

nlin.SI2005★ 1 cited

Laplace Invariants of Toda Lattices with the Exceptional Cartan Matrices

A. M. Guryeva, A. V. Zhiber

We show that Toda lattices with the exceptional Cartan matrices are Liouville type systems. For these systems of equations, we obtain explicit formulas for the invariants and gener…

Characteristic Lie rings and symmetries of differential Painlevé I and Painlevé III equations

The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux​,uy​)

Laplace Invariants of Toda Lattices with the Exceptional Cartan Matrices

The Klein-Gordon Equation and Differential Substitutions of the Form $v = φ (u, u_{x}, u_{y})$