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First integrals of a generalized Darboux-Halphen system.

A third-order system of nonlinear, ordinary differential equations depending on 3 arbitrary parameters is analyzed. The system arises in the study of SU(2)-invariant hypercomplex manifolds and is a dimensional reduction of the self-dual Yang-Mills equation. The general solution, first integrals and...

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Bibliographic Details
Main Authors:	S. Chakravarty, R.G. Halburd
Format:	Default Preprint
Published:	2002
Subjects:	Other mathematical sciences not elsewhere classified Darboux-Halphen mathematics equations Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/443
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