Publication

Integrable G-strands on semisimple Lie groups

Tudor Ratiu, François Gay-Balmaz
2014
Journal Articles

Abstract

The present paper derives systems of partial differential equations that admit a quadratic zero curvature representation for an arbitrary real semisimple Lie algebra. It also determines the general form of Hamilton's principles and Hamiltonians for these systems, and analyzes the linear stability of their equilibrium solutions in the examples of so(3) and sl(2, R).

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Integrable G-strands on semisimple Lie groups

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