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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…
nlin.SI2018★ 7 cited
Numerical inverse scattering for the sine-Gordon equation
Bernard Deconinck, Thomas Trogdon, Xin Yang
We implement the numerical inverse scattering transform (NIST) for the sine-Gordon equation in laboratory coordinates on the real line using the method developed by Trogdon, Olver…