»ã±¨±êÌâ (Title)£ºReduction of lattice equations: Lecture II (ÀëÉ¢·½³ÌµÄÔ¼»¯II)

»ã±¨ÈË (Speaker)£º Peter van der Kamp ½ÌÊÚ£¨La Trobe University, Australia£©

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Lecture 2 Topics: Periodic reductions, Monodromy matrix

Narrative: By defining periodic initial conditions on a standard staircase, a lattice equation (P¦¤E) reduces to a mapping (O¦¤E). The Lax pair for the P¦¤E gives rise to a Lax pair for the O¦¤E, whose monodromy matrix can be used to construct integrals for the O¦¤E.

Reference: O. Rojas, P.H. van der Kamp and G.R.W. Quispel, Lax representation for integrable O?Es, proceedings ¡®Symmetry and Perturbation Theory 2007¡¯ (2007) 271-272.