Abstract
Soliton solutions are obtained in a vertical cavity surface emitting laser coupled with frequency selective feedback. Bright and exotic solitons (with cosh-Gaussian pulses) solutions are derived. The complex Ginzburg-Landau equation, with cubic nonlinearity, governs the soliton dynamics in the cavity. He's semi-inverse Variational method is implemented to retrieve these soliton solutions. A parametric region, which corresponds to stable soliton propagation, has been identified. The cosh Gaussian soliton solutions can be a used to realize all-optical tunable devices and study cavity soliton in the system.