Lattice representation and dark solitons of the Fokas-Lenells equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

This work is devoted to an integrable generalization of the nonlinear
Schr\"odinger equation proposed by Fokas and Lenells. I discuss the
relationships between this equation and other integrable models. Using the
reduction of the Fokas-Lenells equation to the already known ones I obtain the
N-dark soliton solutions.

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