Variational approach for time-space fractal Bogoyavlenskii equation

Autor: Junfeng Lu, Shaowei Shen, Lei Chen
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 97, Iss , Pp 294-301 (2024)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2024.04.031
Popis: In this paper, we apply the variational approach for solving the time-space fractal Bogoyavlenskii equation. By the two-scale fractal complex transformation, the fractal modification of Bogoyarlenskii equation is equivalently rewritten as the original Bogoyavlenskii equation. By variational principle, different type solutions including fractal bright soliton solution, fractal bright-like soliton solution, fractal kinky-bright soliton solution and fractal periodic wave solution are provided, which are not touched in the existing literature. Numerical results are presented to show the propagation behaviours.
Databáze: Directory of Open Access Journals