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- W3011222989 abstract "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 derive two different Riemann-Hilbert problems associated with the inverse scattering transform for the classical Schrodinger operator with possibly discontinuous, step-like potentials and develop relevant theory to ensure unique solvability of these problems. We then numerically implement the Deift-Zhou method of nonlinear steepest descent to compute the solution of the Cauchy problem for small times and in two asymptotic regions. Our method applies to continuous and discontinuous data." @default.
- W3011222989 created "2020-03-23" @default.
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- W3011222989 date "2020-03-16" @default.
- W3011222989 modified "2023-10-18" @default.
- W3011222989 title "On numerical inverse scattering for the Korteweg–de Vries equation with discontinuous step-like data" @default.
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- W3011222989 doi "https://doi.org/10.1088/1361-6544/ab6c37" @default.
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