Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation

Authors

S. Roy Choudhury, UCF, Florida, USAFollow
Rossen Ivanov, Technological University DublinFollow
Yue Liu, University of Texas, Arlington, USAFollow

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Applied mathematics

Abstract

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.

DOI

https://doi.org/https://doi.org/10.1016/j.chaos.2006.03.057

Recommended Citation

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