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Darboux–Bäcklund transformations, dressing & impurities in multi-component NLS

Adamopoulou, P., Doikou, A. and Papamikos, G. (2017) Darboux–Bäcklund transformations, dressing & impurities in multi-component NLS. Nuclear Physics B, 918. pp. 91-114. ISSN 0550-3213

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To link to this item DOI: 10.1016/j.nuclphysb.2017.02.016

Abstract/Summary

We consider the discrete and continuous vector non-linear Schrödinger (NLS) model. We focus on the case where space-like local discontinuities are present, and we are primarily interested in the time evolution on the defect point. This in turn yields the time part of a typical Darboux–Bäcklund transformation. Within this spirit we then explicitly work out the generic Bäcklund transformation and the dressing associated to both discrete and continuous spectrum, i.e. the Darboux transformation is expressed in the matrix and integral representation respectively.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:70870
Publisher:Elsevier

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