[Turkmath:7295] Bogaziçi Matematik Araştırma Semineri - ilan ekte

[ferit.ozturk at boun.edu.tr]

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http://www.math.boun.edu.tr/index.php?option=com_content&task=section&id=49&Itemid=405
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Bogazici Mathematics Research Seminar

On Darboux Integrability of semi-discrete hyperbolic type equations

Aslý Pekcan, Dr.

Date : Wednesday, November 10, 2010
Time: 14:00
Place: TB 250, Boðaziçi Üniversitesi

Abstract: We study a differential-difference equation of the form
tx (n + 1) = f (t(n),t(n + 1),tx (n))
with unknown t = t(n, x) depending on x and n. The equation is called Darboux
integrable if there
exist functions F (called an x-integral) and I (called an n-integral), both of
a
finite number of
variables x,t(n),t(n + 1),t(n + 2), . . . ,t(n − 1),t(n − 2), . . .
,tx (n),txx (n), . . . such that Dx F = 0 and
DI = I, where Dx is the operator of total differentiation with respect to x and
D is the shift operator:
Dp(n) = p(n + 1). The Darboux integrability property is reformulated in terms
of
characteristic Lie
algebras that give an effective tool for classification of integrable
equations.


Tea and coffee will be served at 15:00
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