Lattice representation and dark solitons of the Fokas–Lenells equation

Published 3 March 2011 • 2011 IOP Publishing Ltd & London Mathematical Society
, , Citation V E Vekslerchik 2011 Nonlinearity 24 1165 DOI 10.1088/0951-7715/24/4/008

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Author affiliations

1 Institute for Radiophysics and Electronics, Kharkov, Ukraine

2 Universidad de Castilla-La Mancha, Ciudad Real, Spain

Dates

  1. Received 10 October 2010
  2. Published

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0951-7715/24/4/1165

Abstract

This work is devoted to an integrable generalization of the nonlinear Schrödinger 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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10.1088/0951-7715/24/4/008