On various integrable discretisations of a general two component Volterra system

Bibliographic Details
Title: On various integrable discretisations of a general two component Volterra system
Authors: Babalic, Nicoleta-Corina, Carstea, A. S.
Source: J. Phys. A: Math. Theor. 46 (2013) 145205
Publication Year: 2015
Collection: Nonlinear Sciences
Subject Terms: Nonlinear Sciences - Exactly Solvable and Integrable Systems
More Details: 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.
Comment: 14 pages, 2 figures
Document Type: Working Paper
DOI: 10.1088/1751-8113/46/14/145205
Access URL: http://arxiv.org/abs/1508.04661
Accession Number: edsarx.1508.04661
Database: arXiv
More Details
DOI:10.1088/1751-8113/46/14/145205