Two model equations with a second degree logarithmic nonlinearity and their Gaussian solutions

作     者：Cheng-Shi Liu Cheng-Shi Liu

作者机构：Department of MathematicsNortheast Petroleum UniversityDaqing 163318China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2021年第73卷第4期

页      面：58-62页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

主　　题：Gaussian solitary wave Gausson logarithmic nonlinearity wave equation trial equation method 

摘      要：In the paper,we try to study the mechanism of the existence of Gaussian waves in high degree logarithmic nonlinear wave *** first construct two model equations which include the high order dispersion and a second degree logarithmic *** then we prove that the Gaussian waves can exist for high degree logarithmic nonlinear wave equations if the balance between the dispersion and logarithmic nonlinearity is *** mathematical tool is the logarithmic trial equation method.