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
hxb@lsec.cc.ac.cn
|
|
|
Johan Springael
Dienst Theoretische Natuurkunde
Vrije Universiteit Brussel
Pleinlaan 2
B-1050 Brussels
Belgium
jspringa@mach.vub.ac.be
|
|
|
Abstract
|
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)
|
|
|
|