THE MODIFIED VARIATIONAL PRINCIPLES OF THE FRACTAL ROSENAU–BURGERS EQUATION
Abstract
The fractal Rosenau–Burgers equation is proposed and its fractal variational principles were established by Wang and Xu et al. in their work [The fractal modification of the Rosenau–Burgers equation and its fractal variational principle, Fractals. 32(6) (2024) 2450121]. In this study, the more general variational principles with free parameters are developed using the semi-inverse method (SIM) by introducing a new trial-functional, taking some parameters. The results reveal that the fractal variational principles obtained by Wang and Xu are the special cases of the general fractal variational principles in this paper.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Fractional Differential Equations Solutions
Quantum Mechanics and Non-Hermitian Physics
Publication details
- Journal / source
- Fractals
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 34
- Issue
- 07
- Publication date
- 1 January 2026
- Language
- EN