Slow soliton interaction with delta impurities

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dc.creatorHolmer, Justin
dc.creatorZworski, Maciej
dc.date2007-02-15
dc.date2007-06-19
dc.date.accessioned2026-07-07T08:10:55Z
dc.date.available2026-07-07T08:10:55Z
dc.descriptionWe study the Gross-Pitaevskii equation with a delta function potential, $ q δ_0 $, where $|q|$ is small, and analyze the solutions for which the initial condition is a soliton with initial velocity $v_0$. We show that up to time $ (|q| + v_0^2)^{-\frac12} \log(1/|q|) $ the bulk of the solution is a soliton evolving according to the classical dynamics of a natural effective Hamiltonian, $ (ξ^2 + q \sech^2 (x))/2 $.
dc.identifierhttps://arxiv.org/abs/math/0702465
dc.identifierhttp://arxiv.org/abs/math/0702465
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131961
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q55; 35Q51
dc.titleSlow soliton interaction with delta impurities
dc.typetext

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