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On various integrable discretisations of a general two component Volterra system (1508.04661v1)
Published 19 Aug 2015 in nlin.SI
Abstract: We present two integrable discretisations of a general differential-difference bicomponent Volterra system. The results are obtained by discretising directly the corresponding Hirota bilinear equations in two different ways. Multisoliton solutions are presented together with a new discrete form of Lotka-Volterra equation obtained by an alternative bilinearisation.