Zabusky–Kruskal-type experiment for internal waves under Eckart resonance conditions

Zabusky–Kruskal-type experiment for internal waves under Eckart resonance conditions Full article

Journal

Chaos, Solitons and Fractals
ISSN: 0960-0779 , E-ISSN: 1873-2887

Output data

Year: 2026, Volume: 210, Article number : 118662, Pages count : 9 DOI: 10.1016/j.chaos.2026.118662

Tags

Coupled Korteweg–de Vries equations, Eckart resonance, Solitary wave

Authors

Makridin Z.V. ^1,2 , Khe A.K. ³ , Zhou H. ^1,4 , He J. ²

Affiliations

1	College of Civil and Transportation Engineering, Shenzhen University, Shenzhen, 518060, Guangdong, PR China
2	Institute for Advanced Study, Shenzhen University, Shenzhen, 518060, Guangdong, PR China
3	Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia
4	College of Urban Development and Modern Transportation, Xi’an University of Architecture and Technology, Xi’an, 710055, Shanxi, PR China

Funding (1)

Министерство науки и высшего образования Российской Федерации

FWGG-2026-0005

We numerically investigate the evolution of a cosine spatial harmonic within the framework of two coupled KdV equations describing strongly interacting internal wave modes in a three-layer fluid without shear. We study the statistical properties of the resulting wave field, focusing on the evolution of its probability density functions, higher-order moments (skewness and kurtosis), and Fourier spectra. A comparison with the classical Zabusky–Kruskal experiment for the KdV equation is also provided.

Makridin Z.V. , Khe A.K. , Zhou H. , He J.
Zabusky–Kruskal-type experiment for internal waves under Eckart resonance conditions
Chaos, Solitons and Fractals. 2026. V.210. 118662 :1-9. DOI: 10.1016/j.chaos.2026.118662 WOS Scopus OpenAlex

Submitted:	Apr 14, 2026
Accepted:	Jun 10, 2026
Published online:	Jun 25, 2026

≡ Web of science:	WOS:001810339000001
≡ Scopus:	2-s2.0-105042652942
≡ OpenAlex:	W7165846833