Asymmetric Discrete Painleve Equations

    2000, Volume 5, Number 3, pp.  273-280

    Author(s): Kruskal M. D., Tamizhmani K. M., Grammaticos B., Ramani A.

    We investigate the possible integrable nonautonomous forms of a given class of mappings involving more than one dependent variable. These integrable discrete systems define "asymmetric" Painlevé equations. Our main tool of investigation is the application of the singularity confinement discrete integrability criterion. A new way of implementing it, first proposed for the singularity analysis of continuous systems, is also introduced.
    Citation: Kruskal M. D., Tamizhmani K. M., Grammaticos B., Ramani A., Asymmetric Discrete Painleve Equations, Regular and Chaotic Dynamics, 2000, Volume 5, Number 3, pp. 273-280

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