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The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vries equation and is also Hamiltonian. However the Ostrovsky equation is not integrable and in this contribution we prove its nonintegrability. We also study local bifurcations of its solitary waves.
Choudhury, R., Ivanov, R. & Y. Liu. (2007). Hamiltonian formulation, nonintegrability and Local Bifurcations for the Ostrovsky Equation, Chaos, Solitons and Fractals, vol. 34, pg. 544-550. doi:10.1016/j.chaos.2006.03.057