Gaussian solitary waves for the logarithmic Boussinesq equation and the logarithmic regularized Boussinesq equation

We investigate the logarithmic-Boussinesq equation (log-BE) for Gaussian solitary waves. We also derive Gaussian solitary wave solutions for the logarithmic-regularized Boussinesq equation (log-RBE). The logarithmic nonlinearity for both models will be generalized to obtain generalized Gaussian solutions. We show that both logarithmic models are characterized by their Gaussian solitons.