Fractal solitary wave solutions and variational principle of the fractal general Kadomtsev-Petviashvili equation
Year: 2025
Type: article
Abstract: 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.
Source: Thermal Science
DOI: 10.2298/tsci2503775s
Author: Jian-She Sun
Institution: Zhengzhou Business University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $161
OpenAlex ID: W4411455153