Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation

Details Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation

2006-06-27

arxiv.org/abs/math-ph/0606063v1

Chaos, Solitons and Fractals, 34 (2007) 544 - 550

Physics

Mathematical Physics

LaTeX, 10 pages, 1 figure

Scientific paper

10.1016/j.chaos.2006.03.057

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.

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