Dislocations of soliton lattices: experiment and theory

E.A. Kuznetsov^†^a, b
^aLebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
^bLandau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation

The results of recent experiments [1] on observing soliton lattices and their dislocations in vertical cylindrical channels filled with immiscible fluids with strongly different viscosities and but slightly different densities are discussed. The less viscous, lower-density fluid fills the central region of the cylinder. Injecting a light fluid from below generates nonlinear cnoidal waves at the interface between the fluids, which have the appearance of soliton lattices. Two types of lattice dislocations are observed, the interaction between which is elastic. This experimental study fully confirms the theory of cnoidal waves and their dislocations for the KDV equation, which was developed 50 years ago and published in JETP [2].

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Keywords: breathers, dislocations, soliton, cnoidal wave, dressing procedure, KDV equation, Fermi—Pasta—Ulam recurrence
PACS: 05.45.Yv, 47.10.−g, 47.35.−i (all)
DOI: 10.3367/UFNe.2026.03.040111
URL: https://ufn.ru/en/articles/2026/6/g/
Citation: Kuznetsov E A "Dislocations of soliton lattices: experiment and theory" Phys. Usp. 69 (6) (2026)

Received: 25th, March 2026, accepted: 27th, March 2026

Оригинал: Кузнецов Е А «Дислокации солитонных решёток: эксперимент и теория» УФН 196 659–665 (2026); DOI: 10.3367/UFNr.2026.03.040111

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