1. Variational approach for time-space fractal Bogoyavlenskii equation
- Author
-
Junfeng Lu, Shaowei Shen, and Lei Chen
- Subjects
Bogoyavlenskii equation ,Variational approach ,Fractal complex transformation ,Solution ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
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.
- Published
- 2024
- Full Text
- View/download PDF