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Yang–Baxter maps and multi-field integrable lattice equations

2007; Institute of Physics; Volume: 40; Issue: 42 Linguagem: Inglês

10.1088/1751-8113/40/42/s12

1751-8121

V. Papageorgiou, Anastasios Tongas,

Nonlinear Photonic Systems

A variety of Yang–Baxter maps are obtained from integrable multi-field equations on quad-graphs. A systematic framework for investigating this connection relies on the symmetry groups of the equations. The method is applied to lattice equations introduced by Adler and Yamilov, which are related to the nonlinear superposition formulae for the Bäcklund transformations of the nonlinear Schrödinger system and specific ferromagnetic models.