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math.AP2019
Linear Dispersive Shocks
David Smith, Thomas Trogdon, Vishal Vasan
We present a linear dispersive partial differential equation which manifests a number of qualitative features of dispersive shocks, typically thought to occur only in nonlinear mod…
math.AP2018
On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data
Deniz Bilman, Thomas Trogdon
We present a method to compute dispersive shock wave solutions of the Korteweg-de Vries equation that emerge from initial data with step-like boundary conditions at infinity. We de…