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arxiv: 1309.2368 · v1 · submitted 2013-09-10 · 🌊 nlin.SI

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Reality problems for the Algebro-Geometric Solutions of Fokas-Lenell hierarchy

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classification 🌊 nlin.SI
keywords algebro-geometrichierarchysolutionsrealitybasisclassesconditionsconstruct
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In a previous study, we obtained the algebro-geometric solutions and $n$-dark solitons of Forkas-Lenells (FL) hierarchy using algebro-geometric method. In this paper, we construct physically relevant classes of solutions for FL hierarchy by studying the reality conditions for $q=\pm \bar{r}$ based on the idea of Vinikov's homological basis.

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