Chaotic Behavior of the Zakharov-Kuznetsov Equation with Dual-Power Law and Triple-Power Law Nonlinearity

Autor: Yaxi Li, Yue Kai
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AppliedMath, Vol 3, Iss 1, Pp 1-9 (2022)
Druh dokumentu: article
ISSN: 2673-9909
DOI: 10.3390/appliedmath3010001
Popis: The main idea of this paper is to study the chaotic behavior of Zakharov–Kuznetsov equation with perturbation. By taking the traveling wave transformation, we transform the perturbed Zakharov–Kuznetsov equation with dual-power law and triple-power law nonlinearity into planar dynamic systems, and then analyze how the external perturbed terms affect the chaotic behavior. We emphasize here that there is no chaotic phenomenon for the non-perturbed ZK equation, thus it is only caused by the external perturbed terms.
Databáze: Directory of Open Access Journals