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Home  >  Volume 26 (March 2014)

1. Kovalevskaya Analysis and the integrability of Crowdy Equation by E.O. Ifidon. Volume26, (March, 2014), pp 1 – 3.
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Crowdy equation is reduced to the generalized Liouville equation on the Lobachevsky plane. Particular solutions are found to have a moving logarithmic branch point.  A bifurcation analysis is performed which indicates that the solutions are unstable The solutions obtained in this paper corresponds to steady  vortical equilibria on an axially symmetric surface which is topologically equivalent to a sphere but with  different curvatures determined by a parameter.