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
Moser’s Quadratic, Symplectic Map
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DOI: 10.1134/s1560354718060023
Abstract: In 1994, Jürgen Moser generalized Hénon’s area-preserving quadratic map to obtain a normal form for the family of four-dimensional, quadratic, symplectic maps. This map has at most four isolated fixed points. We show that the… read more here.
Keywords: moser quadratic; symplectic map; map; quadratic symplectic ... See more keywords