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摘要
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.
