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 .
https://hal-polytechnique.archives-ouvertes.fr/hal-01083760 Contributor : Denis RouraConnect in order to contact the contributor Submitted on : Monday, November 17, 2014 - 9:02:12 PM Last modification on : Thursday, March 17, 2022 - 10:08:17 AM
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⟩