THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Qi Ma

,

Ruifu Yuan

,

Chun Wang

VARIATIONAL METHOD TO FRACTAL LONG-WAVE MODEL WITH VARIABLE COEFFICIENTS

ABSTRACT
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.
KEYWORDS
Fractal two-scale transform method, fractal semi-inverse method, fractal calculus
PAPER SUBMITTED: 2021-10-15
PAPER REVISED: 2022-07-20
PAPER ACCEPTED: 2022-07-21
PUBLISHED ONLINE: 2023-06-11
DOI REFERENCE: https://doi.org/10.2298/TSCI2303779M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [1779 - 1786]
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Variational method to fractal long-wave model with variable coefficients

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