A FAMILY OF DISCRETE HAMILTONIAN EQUATIONS ASSOCIATED WITH A DISCRETE THREE-BY-THREE MATRIX SPECTRAL PROBLEM
2009 ◽
Vol 23
(19)
◽
pp. 3859-3869
Keyword(s):
A family of integrable lattice equations with four potentials is constructed from a new discrete three-by-three matrix spectral problem. The Hamiltonian structures of the integrable lattice equations in the family are derived by applying the discrete trace identity. Finally, infinitely many common commuting conserved functionals of the resulting integrable lattice equations are given.
2011 ◽
Vol 25
(18)
◽
pp. 2481-2492
2010 ◽
Vol 24
(19)
◽
pp. 2077-2090
◽
2008 ◽
Vol 22
(23)
◽
pp. 4027-4040
◽