  A theory of an acoustic vector soliton of the Love wave is constructed. The
nonlinear Love wave propagating along the interface between of a plane surface
layer and the elastic semi-space under the condition of acoustic self-induced
transparency is investigated. A thin resonance transition layer containing
paramagnetic impurity atoms or semiconductor quantum dots sandwiched between
these two connected media. Explicit analytical expressions for the profile and
parameters of the Love vector soliton are obtained. It is shown that the
properties of the nonlinear Love wave depends on the parameters of the
transition resonance layer, the connected elastic media and the transverse
structure of the Love mode. Numerical investigations of the Love vector soliton
is executed for the parameters of the layered structure ZnO/LiNbO_{3} and
surface acoustic waves which can be reached in current experiments.
