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Journal Articles Journal of Physics A: Mathematical and Theoretical Year : 2014

Integrable G-strands on semisimple Lie groups

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 and .

Dates and versions

hal-01083760 , version 1 (17-11-2014)

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François Gay-Balmaz, Darryl D Holm, Tudor S Ratiu. Integrable G-strands on semisimple Lie groups. Journal of Physics A: Mathematical and Theoretical, 2014, 47 (7), pp.075201. ⟨10.1088/1751-8113/47/7/075201⟩. ⟨hal-01083760⟩
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