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Bright, dark, and mixed vector soliton solutions of the general coupled nonlinear Schrödinger equations

Agalar Agalarov1,2, Vladimir Zhulego1, and Telman Gadzhimuradov2,*

  • 1National Research Centre “Kurchatov Institute”, Moscow, Russia
  • 2Amirkhanov Institute of Physics Dagestan Scientific Centre, Russian Academy of Science, Makhachkala, Russia

  • *gta-1987@mail.ru
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Phys. Rev. E 91, 042909 – Published 17 April, 2015

DOI: https://doi.org/10.1103/PhysRevE.91.042909

Abstract

The reduction procedure for the general coupled nonlinear Schrödinger (GCNLS) equations with four-wave mixing terms is proposed. It is shown that the GCNLS system is equivalent to the well known integrable families of the Manakov and Makhankov U(n,m)-vector models. This equivalence allows us to construct bright-bright and dark-dark solitons and a quasibreather-dark solution with unconventional dynamics: the density of the first component oscillates in space and time, whereas the density of the second component does not. The collision properties of solitons are also studied.

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Phys. Rev. E 91, 042909– Published 17 April, 2015
  • Received 31 December 2014

©2015 American Physical Society

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