Korteweg-de Vries equation

Computation of large-genus solutions of the Korteweg-de Vries equation
We consider the numerical computation of finite-genus solutions of the Korteweg-de Vries equation when the genus is large. Our method …
Deniz Bilman, Patrik Nabelek, Thomas Trogdon
April, 2022 submitted for publication
Code ArXiv
Computation of large-genus solutions of the Korteweg-de Vries equation
On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data
We present a method to compute dispersive shock wave solutions of the Korteweg–de Vries equation that emerge from initial data with …
Deniz Bilman, Thomas Trogdon
March, 2020 Nonlinearity
Cite DOI ArXiv
On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data