Yang-Baxter maps and multi-field integrable lattice equations

Abstract

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 and which are related to the nonlinear superposition formulae for the Bäcklund transformations of the nonlinear Schrödinger system and specific ferromagnetic models.

16 pages, 4 figures, corrected version

References in corpus (2)

• Yang-Baxter maps and symmetries of integrable equations on quad-graphs
• N-soliton collision in the Manakov model

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