title: Bright, dark, and mixed vector soliton solutions of the general coupled nonlinear Schrödinger equations.
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.
authors.affiliation: National Research Centre "Kurchatov Institute", Moscow, Russia.|Amirkhanov Institute of Physics Dagestan Scientific Centre, Russian Academy of Science, Makhachkala, Russia.
authors.forename: Agalar
authors.initials: A
authors.lastname: Agalarov
authors.affiliation: National Research Centre "Kurchatov Institute", Moscow, Russia.
authors.forename: Vladimir
authors.initials: V
authors.lastname: Zhulego
authors.affiliation: Amirkhanov Institute of Physics Dagestan Scientific Centre, Russian Academy of Science, Makhachkala, Russia.
authors.forename: Telman
authors.initials: T
authors.lastname: Gadzhimuradov