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math-ph2018
Modified Babenko's equation for periodic gravity waves on water of finite depth
Evgueni Dinvay, Nikolay Kuznetsov
A new operator equation for periodic gravity waves on water of finite depth is derived and investigated; it is equivalent to Babenko's equation considered in \cite{KD}. Both operat…
math.AP2018
On well-posedness of a dispersive system of the Whitham--Boussinesq type
Evgueni Dinvay
The initial-value problem for a particular bidirectional Whitham system modelling surface water waves is under consideration. This system was recently introduced in [4]. It is nume…
math.AP2018
Babenko's equation for periodic gravity waves on water of finite depth: derivation and numerical solution
Nikolay Kuznetsov, Evgueni Dinvay
The nonlinear two-dimensional problem, describing periodic steady waves on water of finite depth is considered in the absence of surface tension. It is reduced to a single pseudo-d…