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arXiv · 1508.04661

On various integrable discretisations of a general two component Volterra system

Nicoleta-Corina Babalic·A. S. Carstea
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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.

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Nicoleta-Corina Babalic, A. S. Carstea. 2015-08-19. On various integrable discretisations of a general two component Volterra system. https://doi.org/10.1088/1751-8113%2F46%2F14%2F145205

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