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
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 ...