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Symmetries and integrability of discrete equations defined on a black-white lattice | | P. D. Xenitidis
; V. G. Papageorgiou
; | | Date: |
18 Mar 2009 | | Abstract: | We study the deformations of the H equations, presented recently by Adler,
Bobenko and Suris, which are naturally defined on a black-white lattice. For
each one of these equations, two different three-leg forms are constructed,
leading to two different discrete Toda type equations. Their multidimensional
consistency leads to B{"a}cklund transformations relating different members of
this class, as well as to Lax pairs. Their symmetry analysis is presented
yielding infinite hierarchies of generalized symmetries. | | Source: | arXiv, 0903.3152 | | Services: | Forum | Review | PDF | Favorites | |
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