We propose a new method to strengthen the nonlinear pulses robustness to polarization mode dispersion in the conventional lossy fiber systems. The method is based on the generation of the stable trapped state of polarization solitons in an initial optical fiber with high birefringence. It is proven that the obtained bound state of nonlinear pulses have stronger adaptive abilities to polarization mode dispersion than common solitons when they propagate in conventional fibers with random birefringence.