We consider the n-dimensional ladder system, that is the homogeneous quadratic system of first-order differential equations of the form (x)over dot (i) = x(i) Sigma(j=1)(n) a(ij)xj, i = 1, n, where (a(ij)) = (i + 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.
Andriopoulos K., Leach P., NUCCI, M.C. (2003). The ladder problem: Painleve' integrability and explicit solution. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 36(44), 11257-11265 [10.1088/0305-4470/36/44/006].
The ladder problem: Painleve' integrability and explicit solution
NUCCI, Maria Clara
2003
Abstract
We consider the n-dimensional ladder system, that is the homogeneous quadratic system of first-order differential equations of the form (x)over dot (i) = x(i) Sigma(j=1)(n) a(ij)xj, i = 1, n, where (a(ij)) = (i + 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.File in questo prodotto:
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