New Integrable Family in the n-Dimensional Homogeneous Lotka-Volterra Systems with Abelian Lie Algebra

Details New Integrable Family in the n-Dimensional Homogeneous Lotka-Volterra Systems with Abelian Lie Algebra New Integrable Family in the n-Dimensional Homogeneous Lotka-Volterra Systems with Abelian Lie Algebra

2002-12-03

arxiv.org/abs/nlin/0212007v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages, AMS Latex

Scientific paper

10.1143/JPSJ.72.973

We present an n-dimensional integrable homogeneous Lotka--Volterra system,
which has $(n^2-1)$-dimensional Lie symmetry algebra. Moreover a wider
integrable family is derived from the structure of the Lie algebra.

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