A shoreline boundary condition for a highly nonlinear Boussinesq model for breaking waves

► Physically based Lagrangian shoreline model for highly non-linear Boussinesq models. ► The number of calibration parameters are strongly reduced. ► Evolution of solitary breaking and non-breaking waves considering bottom friction. ► Better and more stable behavior than others method. ► The relative errors in maximum horizontal excursion of the shoreline are less than 1%.