TY - JOUR TI - Variational method to fractal long-wave model with variable coefficients AU - Ma Qi AU - Yuan Ruifu AU - Wang Chun JN - Thermal Science PY - 2023 VL - 27 IS - 3 SP - 1779 EP - 1786 PT - Article AB - In this paper, a regularized long wave travelling along an unsmooth boundary is depicted by the fractal calculus, and its fractal variational principle is established via the fractal semi-inverse method, which is very helpful to construct the conservation laws in the fractal space and to study the structure of the analytical solution, and a fractal solitary wave solution is obtained.