  In this paper, the $\overline\partial$-steepest descent method and B\"acklund
transformation are used to study the asymptotic stability of solitons to the
Cauchy problem of focusing Hirota equation. The solution of the RH problem is
further decomposed into pure radiation solution and solitons solution obtained
by using $\overline\partial$-techniques and B\"acklund transformation
respectively. As a directly consequence, the asymptotic stability of solitons
for the Hirota equation is obtained.
