Browsing by Keywords "Darboux integrability"
Now showing items 16 of 6

Characteristic lie algebra and classification of semidiscrete models
(Bilkent University, 2009)In this thesis, we studied a differentialdifference equation of the following form tx(n + 1, x) = f(t(n, x), t(n + 1, x), tx(n, x)), (1) where the unknown t = t(n, x) is a function of two independent variables: discrete n ... 
Discretization of Liouville type nonautonomous equations preserving integrals
(Taylor and Francis, 2016)The problem of constructing semidiscrete integrable analogues of the Liouville type integrable PDE is discussed. We call the semidiscrete equation a discretization of the Liouville type PDE if these two equations have a ... 
On a class of Darbouxintegrable semidiscrete equations
(Springer, 2017)We consider a classification problem for Darbouxintegrable hyperbolic semidiscrete equations. In particular, we obtain a complete description for a special class of equations admitting fourdimensional characteristic ... 
On some algebraic properties of semidiscrete hyperbolic type equations
(Scientific and Technical Research Council of Turkey (TUBITAK), 2008)Nonlinear semidiscrete 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 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 semidiscrete equation which has that integral as an nintegral, or we proved that such ... 
Semidiscrete hyperbolic equations admitting five dimensional characteristic xring
(Taylor and Francis Ltd., 2016)The necessary and sufficient conditions for a hyperbolic semidiscrete equation to have five dimensional characteristic xring are derived. For any given chain, the derived conditions are easily verifiable by straightforward ...