  We are interested in stability results for breather solutions of the 5th, 7th
and 9th order mKdV equations. We show that these higher order mKdV breathers
are stable in $H^2(\R)$, in the same way as \emph{classical} mKdV breathers. We
also show that breather solutions of the 5th, 7th and 9th order mKdV equations
satisfy the same stationary fourth order nonlinear elliptic equation as the
mKdV breather, independently of the order, 5th, 7th or 9th, considered.
