80 citations · 96 across the 11 of their papers we have counts for
3 papers · 1 filter
Reconstruction of the non-linear wave at a buoy from shoreline data and applications to the tsunami inverse problem for piece-wise sloping bathymetry
Oleksandr Bobrovnikov, Madison Jones, Shriya Prasanna +3
We discuss the following inverse problem: given the run-up data of a tsunami wave, can we recover its initial shape? We study this problem within the framework of the non-linear sh…
Spring-mass behavior of solitons under the influence of an external force field within the modified Korteweg-de Vries equation
Marcelo V. Flamarion, Efim Pelinovsky, Ioann Melnikov
We investigate the interaction of solitons with an external periodic field within the framework of the modified Korteweg-de Vries (mKdV) equation. In the case of small perturbation…
Separation of the initial conditions in the inverse problem for 1D non-linear tsunami wave run-up theory
Alexei Rybkin, Oleksandr Bobrovnikov, Noah Palmer +2
We investigate the inverse tsunami wave problem within the framework of the 1D nonlinear shallow water equations (SWE). Specifically, we focus on determining the initial displaceme…