  The generalized perturbative reduction method is used to find the
two-component vector breather solution of the Born-Infeld equation $ U_{tt} -C
U_{zz} = - A U_{t}^{2} U_{zz} - \sigma U_{z}^{ 2} U_{tt} + B U_{z} U_{t} U_{zt}
$. It is shown that the solution of the two-component nonlinear wave oscillates
with the sum and difference of frequencies and wave numbers.
