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Lattice representation and dark solitons of the Fokas-Lenells equation

By V. E. Vekslerchik

Abstract

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

Topics: Nonlinear Sciences - Exactly Solvable and Integrable Systems
Year: 2011
DOI identifier: 10.1088/0951-7715/24/4/008
OAI identifier: oai:arXiv.org:1103.4701
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