| Abstract: |
| Solutions of the semiclassical Korteweg-de Vries equation are well known to generate dispersive shock waves. We study decaying initial data that generate a pure-soliton dispersive shock wave. We formulate the inverse-scattering transform as a meromorphic Riemann-Hilbert problem and analyze the solution using the Deift-Zhou nonlinear steepest-descent method in the small-dispersion limit. |
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