## Search

Now showing items 1-5 of 5

#### On some algebraic properties of semi-discrete hyperbolic type equations

(Scientific and Technical Research Council of Turkey (TUBITAK), 2008)

Nonlinear semi-discrete equations of the form tx(n + 1) = f(t(n),t(n + 1),tx(n)) are studied. An adequate algebraic formulation of the Darboux integrability is discussed and an attempt to adopt this notion to the classification ...

#### On a class of Darboux-integrable semidiscrete equations

(Springer, 2017)

We consider a classification problem for Darboux-integrable hyperbolic semidiscrete equations. In particular, we obtain a complete description for a special class of equations admitting four-dimensional characteristic ...

#### Discretization of Liouville type nonautonomous equations preserving integrals

(Taylor and Francis, 2016)

The problem of constructing semi-discrete integrable analogues of the Liouville type integrable PDE is discussed. We call the semi-discrete equation a discretization of the Liouville type PDE if these two equations have a ...

#### Semi-discrete hyperbolic equations admitting five dimensional characteristic x-ring

(Taylor and Francis Ltd., 2016)

The necessary and sufficient conditions for a hyperbolic semi-discrete equation to have five dimensional characteristic x-ring are derived. For any given chain, the derived conditions are easily verifiable by straightforward ...

#### On the discretization of Laine equations

(Taylor and Francis, 2018)

We consider the discretization of Darboux integrable equations. For each of the integrals of a Laine equation we constructed either a semi-discrete equation which has that integral as an n-integral, or we proved that such ...