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• W2892879417 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.
• W2892879417 created "2018-10-05" @default.
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• W2892879417 date "2018-09-25" @default.
• W2892879417 modified "2023-09-27" @default.
• W2892879417 title "On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data" @default.
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• W2892879417 hasPublicationYear "2018" @default.
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