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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.AP2017★ 1 cited
Fokas's Uniform Transform Method for linear systems
Bernard Deconinck, Qi Guo, Eli Shlizerman +1
We demonstrate the use of the Unified Transform Method or Method of Fokas for boundary value problems for systems of constant-coefficient linear partial differential equations. We…