\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{multline}
A{\left( {{T_2}} \right)^2}\tilde A\left( {{T_2}} \right)\left( { - 3{\mkern 1mu} \alpha 3 + \frac{{10}}{3}\,{\mkern 1mu} \frac{{\alpha {2^2}}}{{{\omega _0}^2}}} \right) + i{\omega _0}\left( { - 2{\mkern 1mu} \frac{{\rm{d}}}{{{\rm{d}}{T_2}}}A\left( {{T_2}} \right) - cA\left( {{T_2}} \right)
	\right.   \\   \left. 
	 - A\left( {{T_2}} \right)\left( {\frac{{coupling - vecto{r^2}}}{{Rl{\mkern 1mu} \left( {R{l^{ - 2}} + c{p^2}{\omega _0}^2} \right)}} - \frac{{icp{\mkern 1mu} \omega 0{\mkern 1mu} \,coupling - vecto{r^2}}}{{R{l^{ - 2}} + c{p^2}{\omega _0}^2}}} \right)} \right) + {\mkern 1mu} \,\frac{{f{{\rm{e}}^{i\sigma {\kern 1pt} {T_2}}}}}{2}
\end{multline}
\end{document}