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Absence of Solitons for the Defocusing NLS Equation on the Half-line

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Abstract

It has been conjectured that the defocusing nonlinear Schrödinger (NLS) equation on the half-line does not admit solitons. We give a proof of this conjecture.

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  1. Department of Mathematics, KTH Royal Institute of Technology, 100 44, Stockholm, Sweden

    Jonatan Lenells

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  1. Jonatan Lenells
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Correspondence to Jonatan Lenells.

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Lenells, J. Absence of Solitons for the Defocusing NLS Equation on the Half-line. Lett Math Phys 106, 1235–1241 (2016). https://doi.org/10.1007/s11005-016-0867-1

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  • DOI: https://doi.org/10.1007/s11005-016-0867-1

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