Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities

摘要

In this work, we study a variety of nonlinear evolution equations with logarithmic nonlinearities. We will examine the logarithmic KdV-like equations, the logarithmic KP-like equations, and the logarithmic Klein-Gordon equations. We show that these equations possess Gaussons: solitary wave solutions of Gaussian shape.