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A theoretical model suitable for both static and dynamic analysis of widely tunable multisection grating assisted codirectional coupler with rear sampled grating reflector (GCSR) lasers is described in this paper. For the first time wide static tunability as well as transient behavior of such lasers are simulated. The theoretical model is based on the transfer matrix method (TMM) in combination with multimode rate equation analysis and takes into account a number of physical processes in the laser cavity such as longitudinal mode spatial hole burning, nonlinear gain compression, and refractive index changes with carrier injection. Static and dynamic characteristics simulated using the proposed approach agree with the experimental results presented in the paper.