Dynamic properties, Gaussian soliton and chaotic behaviors of general Degasperis–Procesi model

被引：0

作者：

Yue Kai

Liuke Huang

机构：

[1] Shanghai University of Engineering Science,Center of Intelligent Computing and Applied Statistics School of Mathematics, Physics and Statistics

[2] Tongji University,Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education

[3] Tongji University,Department of Geotechnical Engineering, College of Civil Engineering

[4] Southwest Petroleum University,School of Civil Engineering and Geomatics

来源：

Nonlinear Dynamics | 2023年 / 111卷

关键词：

General Degasperis–Procesi model; Gaussian soliton; Soliton stability; Modulation instability; Chaotic behavior;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish the existences of periodic and soliton solutions to unperturbed general Degasperis–Procesi model, and corresponding solutions are shown to verify it. Especially, the Gaussian solitons are presented, which are barely seen in non-logarithmic equation. Moreover, the stability of soliton and modulation instability of the original equation are analyzed. Finally, by taking the external perturbed terms into consideration, the chaotic behaviors emerge. Corresponding largest Lyapunov exponents and phase portraits are presented to verify our conclusion graphically. The results such as Gaussian soliton solutions and chaotic behavior for the general Degasperis–Procesi model are initially discovered in the present paper.

引用

页码：8687 / 8700

页数：13