468 citations · 2.1k across the 70 of their papers we have counts for
70 papers
Nonlinear two-dimensional water waves with arbitrary vorticity
Delia Ionescu-Kruse, Rossen Ivanov
We consider the two-dimensional water-wave problem with a general non-zero vorticity field in a fluid volume with a flat bed and a free surface. The nonlinear equations of motion f…
On the modelling of short and intermediate water waves
Rossen I. Ivanov
The propagation of water waves of finite depth and flat bottom is studied in the case when the depth is not small in comparison to the wavelength. This propagation regime is comple…
Integrable systems on symmetric spaces from a quadratic pencil of Lax operators
Rossen I. Ivanov
The article surveys the recent results on integrable systems arising from quadratic pencil of Lax operator L, with values in a Hermitian symmetric space. The counterpart operator M…
NLS-type equations from quadratic pencil of Lax operators: negative flows
Rossen I. Ivanov
We formulate and study an integrable model of Nonlinear Schrödinger (NLS)-type through its Lax representation, where one of the Lax operators is quadratic and the other has a ratio…
Hamiltonian description of internal ocean waves with Coriolis force
Joseph Cullen, Rossen Ivanov
The interfacial internal waves are formed at the pycnocline or thermocline in the ocean and are influenced by the Coriolis force due to the Earth's rotation. A derivation of the mo…
Hamiltonian approach to modelling interfacial internal waves over variable bottom
Rossen I. Ivanov, Calin I. Martin, Michail D. Todorov
We study the effects of an uneven bottom on the internal wave propagation in the presence of stratification and underlying non-uniform currents. Thus, the presented models incorpor…