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INTEGRABLE SYSTEMS DETERMINED BY DIFFERENTIAL FORMS FOR MOVING FRAMES ON IMMERSED SUBMANIFOLDS

PAUL BRACKEN

Department of Mathematics, University of Texas, Edinburg, TX, 78541-2999, USA

https://doi.org/10.1142/S021988780800317XCited by:1 (Source: Crossref)

Abstract

It is shown how a system of differential forms can reproduce the complete set of differential equations generated by an SO(m) matrix Lax pair. By selecting the elements in the given matrices appropriately, examples of integrable nonlinear equations can be produced. The SO(3) case is discussed in detail, then extended to an m - 1 dimensional manifold immersed in Euclidean space.

Keywords:

AMSC: 53A05, 53C05, 53Z05

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