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Algebro-geometric solutions and their reductions for the Fokas-Lenells hierarchy
classification
🌊 nlin.SI
keywords
solutionsalgebro-geometricfokas-lenellshierarchyassociateddarkdedicateddegeneration
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This paper is dedicated to provide theta function representations of algebro-geometric solutions for the Fokas-Lenells (FL) hierarchy through studying an algebro-geometric initial value problem. Further, we reduce these solutions into $N$-dark solutions through the degeneration of associated Riemann surfaces.
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