Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation
Mathematical Physics
2009-07-14 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0606063,
title = {Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation},
author = {Roy Choudhury and Rossen I. Ivanov and Yue Liu},
journal= {arXiv preprint arXiv:math-ph/0606063},
year = {2009}
}
Comments
LaTeX, 10 pages, 1 figure