K. Hikami et al., HIDDEN SYMMETRY OF THE BOGOYAVLENSKY LATTICE - THE LATTICE W-ALGEBRA AND THE VERTEX OPERATORS, Journal of the Physical Society of Japan, 66(12), 1997, pp. 3756-3763
We reveal the hidden algebraic symmetry of the Bogoyavlensky lattice (
the extended Volterra model). Shown is the correspondence between the
lattice W algebra and the Bogoyavlensky lattice. Soliton solutions are
also constructed in terms of the vertex operators.