The modified variational principles of the fractal Rosenau-Burgers equation

The fractal Rosenau-Burgers equation is proposed and its fractal variational principles were established by Wang and Xu, et al in their work (Fractals, 2024, 32, 6: 2450121). In this study, the more general variational principles with free parameters are developed using the semi-inverse method (SIM) via 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.