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Slow solution interaction with delta imperiums. (English) Zbl 1137.35060

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.

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
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