On existence of an x-integral for a semi-discrete chain of hyperbolic type

A class of semi-discrete chains of the form t1x = f(x, t, t1, tx) is considered. For the given chains easily verifiable conditions for existence of x-integral of minimal order 4 are obtained.


On a transformation between hierarchies of integrable equations
GÜRSES, METİN; Zheltukhın, Kostyantyn (Elsevier BV, 2006-02-20)
A transformation between a hierarchy of integrable equations arising from the standard R-matrix construction on the algebra of differential operators and a hierarchy of integrable equations arising from a deformation of the standard R-matrix is given.
Little groups and Maxwell-type tensors for massive and massless particles
Baskal, S; Kim, YS (IOP Publishing, 1997-11-15)
The massive and massless representations of four-vectors and Maxwell-type tensors are constructed as bilinear combinations of SL(2, C)-spinors and are evaluated on a unified description upon adopting the group contraction procedure of O(3)-like little group to E(2)-like little group. Contraction of massive particle representations leads to gauge-dependent vectors as well as the gauge-independent ''state vectors'' constructed by Weinberg. It, is shown that gauge degrees of freedom associated with the transla...
Discrete symmetries and nonlocal reductions
GÜRSES, METİN; Pekcan, Asli; Zheltukhın, Kostyantyn (Elsevier BV, 2020-01-31)
We show that nonlocal reductions of systems of integrable nonlinear partial differential equations are the special discrete symmetry transformations.
Unified treatment of spacelike and timelike SO(3,1) Yang-Mills fields
Dundarer, AR (Springer Science and Business Media LLC, 2001-07-01)
SO(3, 1) valued Yang-mills fields stemming from spacelike and timelike vectors that were studied separately in earlier works are unified by introducing a parameter lambda that takes values in the interval [-1, 1].
Semileptonic decays of pseudoscalar mesons to the scalar f(0) meson
Alıyev, Tahmasıb; Savcı, Mustafa (IOP Publishing, 2010-06-01)
The transition form factors of D-s -> f(0)lv, D -> f(0) and B-u -> f(0)lv decays are calculated within the 3-point QCD sum rule method, assuming that f0 is a quark-antiquark state with a mixture of strange and light quarks. Having obtained the expressions of the transition form factors, the branching ratios of these decays are calculated. The experimental measurement of the branching ratios of these decays can provide a direct estimation of the mixing angle. Copyright (c) EPLA, 2010
Citation Formats
K. Zheltukhın, “On existence of an x-integral for a semi-discrete chain of hyperbolic type,” 2015, vol. 670, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35554.