Fractal solitary waves of the (3+1)-dimensional fractal modified KdV-Zakharov-Kuznetsov

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,...

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Veröffentlicht in:Thermal science 2024, Vol.28 (3 Part A), p.1967-1974
1. Verfasser: Sun, Jianshe
Format: Artikel
Sprache:eng
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Zusammenfassung: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 un-smooth 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.
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI2403967S