TY - JOUR
TI - Fractal solitary wave solutions and variational principle of the fractal general Kadomtsev-Petviashvili equation
AU - Sun Jian-She
JN - Thermal Science
PY - 2025
VL - 29
IS - 3
SP - 1775
EP - 1782
PT - Article
AB - This work examines the fractal generalized Kadomtsev-Petviashvili equation,  which describes the evolution of non-linear long waves of small amplitude.  The fractal traveling wave transformation and the fractal semi-inverse  method are employed to derive a fractal variational principle, which was  found to be a strong minimum according to the He-Weierstrass function. The  solution of the two examples is presented in the form of images. This paper  demonstrates that the fractal dimension affects the waveform of the  generalized Kadomtsev-Petviashvili equation.