176 citations · 291 across the 8 of their papers we have counts for
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math.AP2006★ 111 cited
Soliton splitting by external delta potentials
Justin Holmer, Jeremy Marzuola, Maciej Zworski
We show that a soliton scattered by an external delta potential splits into two solitons and a radiation term. Theoretical analysis gives the amplitudes and phases of the reflected…
math.AP2006★ 176 cited
Fast soliton scattering by delta impurities
Justin Holmer, Jeremy Marzuola, Maciej Zworski
We study the Gross-Pitaevskii equation (nonlinear Schroedinger equation) with a repulsive delta function potential. We show that a high velocity incoming soliton is split into a tr…