468 citations · 2.1k across the 70 of their papers we have counts for
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On the dynamics of internal waves interacting with the equatorial undercurrent
Alan Compelli, Rossen Ivanov
The interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorti…
Euler-Poincaré equations for -Strands
Darryl D. Holm, Rossen I. Ivanov
The -strand equations for a map into a Lie group are associated to a -invariant Lagrangian. The Lie group manifold is also the configuration…
Matrix G-Strands
Darryl D. Holm, Rossen I. Ivanov
We discuss three examples in which one may extend integrable Euler--Poincaré ODEs to integrable Euler--Poincaré PDEs in the matrix G-Strand context. After describing matrix G-Stran…
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…
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…
On the Dressing Method for the Generalised Zakharov--Shabat System
Rossen I. Ivanov
The dressing procedure for the Generalised Zakharov--Shabat system is well known for systems, related to sl(N) algebras. We extend the method, constructing explicitly the dressing…