An Ablowitz-Ladik Integrable Lattice Hierarchy with Multiple Potentials
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-020-0306-3
Abstract: Within the zero curvature formulation, a hierarchy of integrable lattice equations is constructed from an arbitrary-order matrix discrete spectral problem of Ablowitz-Ladik type. The existence of infinitely many symmetries and conserved functionals is a consequence… read more here.
Keywords: ablowitz ladik; ladik integrable; lattice hierarchy; integrable lattice ... See more keywords
A new lattice hierarchy: Hamiltonian structures, symplectic map and N-fold Darboux transformation
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DOI: 10.1016/j.apm.2018.10.030
Abstract: Abstract A new lattice hierarchy is constructed from a discrete matrix spectral problem. By the Tu scheme technique, the associated Hamiltonian structures and infinitely many conservation laws of this hierarchy are derived. Then a symplectic… read more here.
Keywords: symplectic map; lattice hierarchy; new lattice; darboux transformation ... See more keywords
Toda lattice hierarchy and trigonometric Ruijsenaars–Schneider hierarchy
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab520c
Abstract: We consider solutions of the 2D Toda lattice hierarchy which are trigonometric functions of the ``zeroth'' time $t_0=x$. It is known that their poles move as particles of the trigonometric Ruijsenaars-Schneider model. We extend this… read more here.
Keywords: toda lattice; lattice hierarchy; hierarchy trigonometric; ruijsenaars schneider ... See more keywords
On a Toda lattice hierarchy: Lax pair, integrable symplectic map and algebraic–geometric solution
Sign Up to like & getrecommendations! Published in 2018 at "Modern Physics Letters B"
DOI: 10.1142/s021798491850344x
Abstract: A Toda lattice hierarchy is studied by introducing a new spectral problem which is a discrete counterpart of the generalized Kaup–Newell spectral problem. Based on the Lenard recursion equation, La... read more here.
Keywords: toda lattice; hierarchy lax; lax pair; pair integrable ... See more keywords