Resonant soliton scattering by topological states of a finite array of reflectionless potential wells

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dc.contributor.authorAlmualla, Z.
dc.contributor.authorAl Khawaja, U.
dc.contributor.authorAl Sakkaf, L.
dc.date.accessioned2026-01-21T04:35:48Z
dc.date.available2026-01-21T04:35:48Z
dc.date.issued2025
dc.descriptionTopological states are distinguished from other states due to their novel properties. Such properties are their stability and robustness to perturbations [1], which means that they can maintain their topological properties even when subjected to external influences. Topological photonics that possess these properties can be used to create unidirectional propagating edge states that are insensitive to bending, fabrication imperfections, or environmental fluctuation, which can be used in optical data processing [2], [3].
dc.description.abstractWe investigate bright soliton scattering by periodic reflectionless potential wells. We find sharp transitions in transport coefficients occurring at specific initial soliton speeds. Investigating the band structure of the periodic potential, it turns out that sharp transitions occur at resonance between the energy of the incident soliton and mid-gap topological edge states. Two types of topological states were found: nodal and nodeless states. Stability analysis shows that nodal states are unstable while nodeless are stable against perturbations in equilibrium position. Keywords: Resonant scattering, Solitons, Topological edge states
dc.identifier.citationAlmualla, Z., Al Sakkaf, L., & Al Khawaja, U. (2025). Resonant soliton scattering by topological states of a finite array of reflectionless potential wells. Physics Letters A, 130646.
dc.identifier.doihttps://doi.org/10.1016/j.physleta.2025.130646
dc.identifier.urihttps://repository.adu.ac.ae/handle/1/8030
dc.language.isoen
dc.publisherElsevier B.V.
dc.titleResonant soliton scattering by topological states of a finite array of reflectionless potential wells
dc.typeArticle

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