New Integrable Family in the n-Dimensional Homogeneous Lotka-Volterra Systems with Abelian Lie Algebra
classification
🌊 nlin.SI
keywords
algebraintegrablefamilyhomogeneousn-dimensionalabelianderiveddimensional
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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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