p-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limit

Details p-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limit p-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limit

1999-06-22

arxiv.org/abs/solv-int/9906011v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

AMS-Tex Use. Title changes

Scientific paper

In this article, we have studied the difference-difference Lotka-Volterra
equations in p-adic number space and its p-adic valuation version. We pointed
out that the structure of the space given by taking the ultra-discrete limit is
the same as that of the $p$-adic valuation space.

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