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

Kenji Imai·Yoshihiro Hirata
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Abstract

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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Kenji Imai, Yoshihiro Hirata. 2002-12-03. New Integrable Family in the n-Dimensional Homogeneous Lotka-Volterra Systems with Abelian Lie Algebra. https://doi.org/10.1143/jpsj.72.973

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