468 citations · 2.1k across the 70 of their papers we have counts for
4 papers · 1 filter
Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom
Alan Compelli, Rossen I. Ivanov, Michail D. Todorov
A single incompressible, inviscid, irrotational fluid medium bounded by a free surface and varying bottom is considered. The Hamiltonian of the system is expressed in terms of the…
-Strands on symmetric spaces
Alexis Arnaudon, Darryl D. Holm, Rossen I. Ivanov
We study the -strand equations that are extensions of the classical chiral model of particle physics in the particular setting of broken symmetries described by symmetric spaces…
Hamiltonian model for coupled surface and internal waves in the presence of currents
Rossen Ivanov
We examine a two dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface. The two media are separated by a fre…
A dressing method for soliton solutions of the Camassa-Holm equation
Rossen Ivanov, Tony Lyons, Nigel Orr
The soliton solutions of the Camassa-Holm equation are derived by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form o…