Abstract

We consider the n-dimensional ladder system, that is the homogeneous quadratic system of first-order differential equations of the form , where (aij) = (i + 1 − j), i, j = 1, n, introduced by Imai and Hirata (2002 Preprint nlin.SI/0212007 v1 3). The ladder system is found to be integrable for all n in terms of the Painleve analysis and its solution is explicitly given.

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