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
N-fold Darboux transformation and conservation laws of the modified Volterra lattice
Sign Up to like & getrecommendations! Published in 2018 at "Modern Physics Letters B"
DOI: 10.1142/s0217984918504092
Abstract: In this work, we study the modified Volterra lattice. Applying the gauge transformation of the associated [Formula: see text] matrix spectral problems, we establish the N-fold Darboux transformation (DT), and then construct a few explicit… read more here.
Keywords: volterra lattice; fold darboux; modified volterra; darboux transformation ... See more keywords