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

2013/09/10 by Zhao, Peng, Fan, Engui
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.1309.2368

Abstract

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=± r based on the idea of Vinikov's homological basis.

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