104 citations · 186 across the 15 of their papers we have counts for
18 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…
Effects of vorticity on the travelling waves of some shallow water two-component systems
Denys Dutykh, Delia Ionescu-Kruse
In the present study we consider three two-component (integrable and non-integrable) systems which describe the propagation of shallow water waves on a constant shear current. Name…
A new two-component system modelling shallow-water waves
Delia Ionescu-Kruse
For propagation of surface shallow-water waves on irrotational flows, we derive a new two-component system. The system is obtained by a variational approach in the Lagrangian forma…
Variational derivation of two-component Camassa-Holm shallow water system
Delia Ionescu-Kruse
By a variational approach in the Lagrangian formalism, we derive the nonlinear integrable two-component Camassa-Holm system (1). We show that the two-component Camassa-Holm system…
On the particle paths and the stagnation points in small-amplitude deep-water waves
Delia Ionescu-Kruse
In order to obtain quite precise information about the shape of the particle paths below small-amplitude gravity waves travelling on irrotational deep water, analytic solutions of…
Peakons arising as particle paths beneath small-amplitude water waves
Delia Ionescu-Kruse
We present a new kind of particle path in constant vorticity water of finite depth, within the framework of small-amplitude waves.