A note on the Gaussons of some new logarithmic evolution equations

In this paper, we study the Gaussian solitary waves for some nonlinear evolution equations with logarithmic nonlinearities. These studied logarithmic evolution equations are the generalized logarithmic BBM equations, the logarithmic (2+1)-dimensional KP-like equations, the logarithmic (3+1)-dimensional KP-like equations, the generalized logarithmic (2+1)-dimensional Klein-Gordon equations and the generalized logarithmic (3+1)-dimensional Klein-Gordon equations. We not only prove that they possess Gaussons: solitary wave solutions of Gaussian shape but also derive the relationships among the parameters.