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Solitons of the NLS equation escaping a potential.

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Naumkin, Ivan

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Solitons of the NLS equation escaping a potential.
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22
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We consider the NLS equation with focusing nonlinearities in a presence of an external field. We investigate the soliton motions that correspond to a free soliton escaping the well created by the potential. We exhibit the dynamical system driving the exiting trajectory and construct the associated nonlinear dynamics for untrapped motions.