Holmer, Justin; Zworski, Maciej Slow solution interaction with delta imperiums. (English) Zbl 1137.35060 J. Mod. Dyn. 1, No. 4, 689-718 (2007). The Gross-Pitaevskii equation with a delta function as a potential is under consideration. The initial condition is a soliton. The case when modulus of small amplitude of potential is not less than square of initial velocity is analysed. Reviewer: Igor Andrianov (Köln) Cited in 31 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35Q55 NLS equations (nonlinear Schrödinger equations) 37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems Keywords:soliton; effective Hamiltonian; Gross-Pitaevskii equation; nonlinear Schrödinger equation; Dirac mass potential PDF BibTeX XML Cite \textit{J. Holmer} and \textit{M. Zworski}, J. Mod. Dyn. 1, No. 4, 689--718 (2007; Zbl 1137.35060) Full Text: DOI arXiv OpenURL