We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
FRACTAL SOLITARY WAVES OF THE (3+1)-DIMENSIONAL FRACTAL MODIFIED KdV-ZAKHAROV-KUZNETSOV.
- Authors
Jianshe SUN
- Abstract
In this work, the fractal (3+1)-D modified KdV-Zakharov-Kuznetsov (MKdV-ZK) model is studied, which can represent weakly non-linear waves under the unsmooth boundary. With the help of the fractal traveling wave transformation and the semi-inverse method, a fractal variational principle is obtained, which is a strong minimum one according to the He-Weierstrass function. From the variational principle, a fractal solitary wave solution is obtained, and the influence of unsmooth boundary on solitary waves is studied and the behaviors of the solutions are presented via 3-D plots. This paper shows that the fractal dimensions can affect the wave pattern, but cannot influence its crest value.
- Subjects
VARIATIONAL principles; NONLINEAR waves; FRACTAL dimensions; FRACTALS
- Publication
Thermal Science, 2024, Vol 28, Issue 3A, p1967
- ISSN
0354-9836
- Publication type
Article
- DOI
10.2298/TSCI2403967S