On the Lagrangian structure of Integrable quad-equations

Alexander I. Bobenko, Yuri B. Suris

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

27 Zitate (Scopus)

Abstract

The new idea of flip invariance of action functionals in multidimensional lattices was recently highlighted as a key feature of discrete integrable systems. Flip invariance was proved for several particular cases of integrable quad-equations by Bazhanov, Mangazeev and Sergeev and by Lobb and Nijhoff. We provide a simple and case-independent proof for all integrable quad-equations. Moreover, we find a new relation for Lagrangians within one elementary quadrilateral which seems to be a fundamental building block of the various versions of flip invariance.

OriginalspracheEnglisch
Seiten (von - bis)17-31
Seitenumfang15
FachzeitschriftLetters in Mathematical Physics
Jahrgang92
Ausgabenummer1
DOIs
PublikationsstatusVeröffentlicht - März 2010
Extern publiziertJa

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