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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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