On various integrable discretisations of a general two component Volterra system
arXiv:1508.04661 · doi:10.1088/1751-8113/46/14/145205
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.
14 pages, 2 figures