Skip to Main content Skip to Navigation
Journal articles

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 .
Document type :
Journal articles
Complete list of metadata
Contributor : Denis Roura <>
Submitted on : Monday, November 17, 2014 - 9:02:12 PM
Last modification on : Friday, July 2, 2021 - 9:40:04 AM

Links full text



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



Record views