On the Gaussian traveling wave solution to a special kind of Schrodinger equation with logarithmic nonlinearity

被引：81

作者：

Kai, Yue ^{[1
]}

Yin, Zhixiang ^{[1
]}

机构：

[1] Shanghai Univ Engn Sci, Ctr Intelligent Comp & Appl Stat, Sch Math Phys & Stat, Shanghai 201620, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2022年 / 36卷 / 02期

关键词：

Nonlinear Schrodinger equation; logarithmic nonlinearity; traveling wave solutions; Gaussian traveling wave solution; SOLITARY WAVES;

D O I：

10.1142/S0217984921505436

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We present the complete analysis of traveling wave solutions to a special kind of nonlinear Schrodinger equation with logarithmic nonlinearity, and obtain all traveling wave solutions. As a result, we prove this equation does not have any Gaussian traveling wave solution. However, by modifying this equation into another form, we can actually obtain a Gaussian traveling wave solution, which verifies the conclusion that existing Gaussian traveling solution requires two restrictions: (1) balance between the dispersion terms and logarithmic nonlinearity; and (2) balance of the parameters.

引用

页数：7

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