  For an isotropic and homogeneous nonlinear left-handed materials, for which
the effective medium approximation is valid, Maxwell's equations for electric
and magnetic fields lead naturally, within the slowly varying envelope
approximation, to a system of coupled nonlinear Schroedinger equations. This
system is equivalent to the well-known Manakov model that under certain
conditions, is completely integrable and admits bright and dark soliton
solutions. It is demonstrated that left- and right-handed (normal) nonlinear
mediums may have compound bright and dark soliton solutions, respectively.
These results are also supported by numerical calculations.
