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math-ph2006★ 38 cited
Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity
Adrian Constantin, Rossen I. Ivanov, Emil M. Prodanov
We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for ste…
math-ph2006★ 24 cited
Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation
Roy Choudhury, Rossen I. Ivanov, Yue Liu
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 Vrie…