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math.AP2010
The periodic Cauchy problem for Novikov's equation
Feride Tiglay
We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by V. Novikov. Like the Camassa-Holm and Degasperis-Procesi equations, Novikov'…
math.AP2010★ 19 cited
Generalized Euler-Poincaré equations on Lie groups and homogeneous spaces, orbit invariants and applications
Feride Tiglay, Cornelia Vizman
We develop the necessary tools, including a notion of logarithmic derivative for curves in homogeneous spaces, for deriving a general class of equations including Euler-Poincaré eq…