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# Investigation of the Structure of Waves Generated by a $\delta$-perturbation of the Surface of a Capillary Jet

Received 20 December 2021; published 30 September 2022

2022, Vol. 18, no. 3, pp.  367-378

Author(s): Safronov A. A.

The wave capillary flow of the surface of an inviscid capillary jet, initiated by a single $\delta$-perturbation of its surface, is studied. It is shown that the wave pattern has a complex structure. The perturbation generates both fast traveling damped waves and a structure of nonpropagating exponentially growing waves. The structure of self-similar traveling waves is investigated. It is shown that there are three independent families of such self-similar solutions. The characteristics of the structure of nonpropagating exponentially growing waves are calculated. The characteristic time of formation of such a structure is determined.
Keywords: instability, capillary flow, nonviscous jet
Citation: Safronov A. A., Investigation of the Structure of Waves Generated by a $\delta$-perturbation of the Surface of a Capillary Jet, Rus. J. Nonlin. Dyn., 2022, Vol. 18, no. 3, pp.  367-378
DOI:10.20537/nd220303