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research article
Integrable G-strands on semisimple Lie groups
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).
Type
research article
Web of Science ID
WOS:000332002900005
Authors
Publication date
2014
Publisher
Volume
47
Issue
7
Article Number
075201
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 14, 2014
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