  The soliton resolution for the focusing modified Korteweg-de vries (mKdV)
equation is established for initial conditions in some weighted Sobolev spaces.
Our approach is based on the nonlinear steepest descent method and its
reformulation through $\bar{\partial}$-derivatives. From the view of stationary
points, we give precise asymptotic formulas along trajectory $x=\textrm{v}t$
for any fixed $ \textrm{v} $. To extend the asymptotics to solutions with
initial data in low regularity spaces, we apply a global approximation via PDE
techniques. As byproducts of our long-time asymptotics, we also obtain the
asymptotic stability of nonlinear structures involving solitons and breathers.
