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SUMMARY:Integrability conditions for difference equations - Xenitidis\, P 
 (University of Leeds)
DTSTART:20130712T100000Z
DTEND:20130712T103000Z
UID:TALK46209@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The existence of an infinite hierarchy of symmetries is used a
 s a definition for the integrability of difference equations. Using this d
 efinition and introducing the notion of a formal recursion operator\, we d
 erive some easily verifiable conditions which are necessary for the integr
 ability of a given difference equation. We refer to these relations as int
 egrability conditions and we show how symmetries and conservation laws can
  be derived from them. Employing these conditions\, we establish the integ
 rability of a particular equation and construct its symmetries. Finally\, 
 we derive a Miura transformation which maps these symmetries to a generali
 zed Bogoyavlensky lattice.\n
LOCATION:Seminar Room 1\, Newton Institute
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