TY - JOUR
TI - Variational principle for fractal high-order long water-wave equation
AU - Sun Jianshe
JN - Thermal Science
PY - 2023
VL - 27
IS - 3
SP - 1899
EP - 1905
PT - Article
AB - In this article, we mainly consider a modification of the high-order long  water-wave equation with unsmooth boundaries by adopting a new fractal  derivative. Its fractal variational principles are successfully constructed  by the fractal semi-inverse method, the obtained principles are helpful to  study the symmetry, to discover the conserved quantity, and to have wide  applications in numerical simulation.