ar X iv : n lin / 0 10 30 02 v 1 [ nl in . S I ] 4 M ar 2 00 1 Lotka - Volterra Equation over a Finite Ring
نویسنده
چکیده
Discrete Lotka-Volterra equation over p-adic space was constructed since p-adic space is a prototype of spaces with the non-Archimedean valuations and the space given by taking ultra-discrete limit studied in soliton theory should be regarded as a space with the non-Archimedean valuations in the previous report (solv-int/9906011). In this article, using the natural projection from p-adic integer to a ring Z/pZ, a soliton equation is defined over the ring. Numerical computations shows that it behaves regularly.
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