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math-ph2026
On the inverse scattering transform for the KdV equation with summable initial data
Alexei Rybkin
We consider the Cauchy problem for the Korteweg--de Vries equation with real initial data that is both and summable and supported on (0,\infty). Using the left refl…
math.AP2026
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…