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math-ph2013★ 1 cited
Euler-Poincaré equations for -Strands
Darryl D. Holm, Rossen I. Ivanov
The -strand equations for a map into a Lie group are associated to a -invariant Lagrangian. The Lie group manifold is also the configuration…
math-ph2013★ 7 cited
Matrix G-Strands
Darryl D. Holm, Rossen I. Ivanov
We discuss three examples in which one may extend integrable Euler--Poincaré ODEs to integrable Euler--Poincaré PDEs in the matrix G-Strand context. After describing matrix G-Stran…