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arxiv: 1508.04661 · v1 · pith:GUIZYSRCnew · submitted 2015-08-19 · 🌊 nlin.SI

On various integrable discretisations of a general two component Volterra system

classification 🌊 nlin.SI
keywords discretisationsgeneralintegrableobtainedsystemvolterraalternativebicomponent
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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.

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