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Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):042909. Epub 2015 Apr 17.

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

Author information

1
National Research Centre "Kurchatov Institute", Moscow, Russia.
2
Amirkhanov Institute of Physics Dagestan Scientific Centre, Russian Academy of Science, Makhachkala, Russia.

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.

PMID:
25974564
DOI:
10.1103/PhysRevE.91.042909

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