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Multi-Component Extension of CAC Systems

Dan-Da Zhang, Ningbo University, P.R. China, Peter H. van der Kamp, Da-Jun Zhang, La Trobe University, Australia, Shanghai University, P.R. China
2020 Symmetry, Integrability and Geometry: Methods and Applications  

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In this paper an approach to generate multi-dimensionally consistent N -component systems is proposed. The approach starts from scalar multi-dimensionally consistent quadrilateral systems and makes use of the cyclic group. The obtained N -component systems inherit integrable features such as Bäcklund transformations and Lax pairs, and exhibit interesting aspects, such as nonlocal reductions. Higher order single component lattice equations (on larger stencils) and multi-component discrete
more » ... é equations can also be derived in the context, and the approach extends to N -component generalizations of higher dimensional lattice equations.
doi:10.3842/sigma.2020.060 fatcat:kvzh67ouejafvlhjdrmjrl4v4a
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Dan-Da Zhang, Ningbo University, P.R. China, Peter H. van der Kamp, Da-Jun Zhang, La Trobe University, Australia, Shanghai University, P.R. China. "Multi-Component Extension of CAC Systems." Symmetry, Integrability and Geometry: Methods and Applications (2020)