Reflectionless potentials and resonant scattering of flat-top and thin-top solitons

We identify a class of potentials for which the scattering of flat-top solitons and thin-top solitons of the nonlinear Schrödinger equation with dual nonlinearity can be reflectionless. The scattering is characterized by sharp resonances between regimes of full transmission and full quantum reflecti...

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Bibliographic Details
Published in:Physical review. E 2023-01, Vol.107 (1-1), p.014202-014202, Article 014202
Main Authors: Al Sakkaf, L, Al Khawaja, U
Format: Article
Language:English
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Summary:We identify a class of potentials for which the scattering of flat-top solitons and thin-top solitons of the nonlinear Schrödinger equation with dual nonlinearity can be reflectionless. The scattering is characterized by sharp resonances between regimes of full transmission and full quantum reflection. Perturbative expansion in terms of the magnitude of radiation losses leads to the general form of reflectionless potentials. Simulating the scattering of flat-top solitons and thin-top solitons confirms the reflectionless feature of these potentials.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.107.014202