26 citations · 66 across the 16 of their papers we have counts for
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math.AP2019★ 8 cited
Well-posedness for a Whitham-Boussinesq system with surface tension
Evgueni Dinvay
We regard the Cauchy problem for a particular Whitham-Boussinesq system modelling surface waves of an inviscid incompressible fluid layer. The system can be seen as a weak nonlocal…
math.AP2019
Solitary wave solutions of a Whitham-Boussinesq system
Evgueni Dinvay, Dag Nilsson
The travelling wave problem for a particular bidirectional Whitham system modelling surface water waves is under consideration. This system firstly appeared in [Dinvay, Dutykh, Kal…
physics.comp-ph2019★ 24 cited
A comparative study of bi-directional Whitham systems
Evgueni Dinvay, Denys Dutykh, Henrik Kalisch
In 1967, Whitham proposed a simplified surface water-wave model which combined the full linear dispersion relation of the full Euler equations with a weakly linear approximation. T…