TY - JOUR
TI - New exact solutions of the local fractional (3+1)-dimensional Kadomstev-Petviashvili equation
AU - Du Chuan
AU - Wang Kang-Jia
AU - Guo Jin-Fei
AU - Bai Yi-Chen
JN - Thermal Science
PY - 2024
VL - 28
IS - 4
SP - 3473
EP - 3478
PT - Article
AB - Aided by the local fractional derivative, we present a new local fractional  (3+1)-di­mensional Kadomstev-Petviashvili equation for describing the  fractal water wave in this work. The non-differentiable transform is  utilized to convert the local frac­tional equation into a local fractional  ODE. On defining the Mittag-Leffler function on the Cantor sets, then a  trial function based on the Mittag-Leffler function is proposed to seek for  the non-differentiable exact solutions. The results reveal that the proposed  method is a promising way to study the local fractional PDE arising in  engineering and physics.