ANZIAM  J.  44 (2002), 121-128
A Bäcklund transformation and nonlinear superposition formula for the Lotka-Volterra hierarchy

Xing-Biao Hu
  Academy of Mathematics and Systems Sciences
  State Key Laboratory of Scientific and
Engineering Computing
  Institute of Computational Mathematics and
Scientific Engineering Computing
  Academia Sinica
  P.O. Box 2719
  Beijing 100080
  P.R. China
Johan Springael
  Dienst Theoretische Natuurkunde
  Vrije Universiteit Brussel
  Pleinlaan 2
  B-1050 Brussels

A hierarchy of bilinear Lotka-Volterra equations with a unified structure is proposed. The bilinear Bäcklund transformation for this hierarchy and the corresponding canonical Lax pair are obtained. Furthermore, the nonlinear superposition formula is proved rigorously.
Download the article in PDF format (size 76 Kb)

TeXAdel Scientific Publishing ©  Australian MS