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 |
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Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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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. |
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ISSN: | 0354-9836 2334-7163 |
DOI: | 10.2298/TSCI2403967S |