44 citations · 102 across the 11 of their papers we have counts for
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physics.flu-dyn2023
Inverse non-linear problem of the long wave run-up on coast
Alexei Rybkin, Efim Pelinovsky, Oleksandr Bobrovnikov +3
The study of the process of catastrophic tsunami-type waves on the coast makes it possible to determine the destructive force of waves on the coast. In hydrodynamics, the one-dimen…
math-ph2023
Trace formulas revisited and a new representation of KdV solutions with short-range initial data
Alexei Rybkin
We put forward a new approach to Deift-Trubowitz type trace formulas for the 1D Schrodinger operator with potentials that are summable with the first moment (short-range potentials…
math.AP2023
Inverse problem for the nonlinear long wave runup on a plane sloping beach
Alexei Rybkin, Efim Pelinovsky, Noah Palmer
We put forward a simple but effective explicit method of recovering initial data for the nonlinear shallow water system from the reading at the shoreline. We then apply our method…