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Matter Transport as Fundamental Property of KdV Solitons in Shallow Water

Year: 2024

Type: article

Abstract: Using the Korteweg-De Vries equation (KdV), the velocities of the fluid motion insidethe soliton are calculated. It is shown that the horizontal component of the fluid velocityis always greater than zero, corresponding to the unidirectional transport of matter by thesoliton. The fluid mass is transported by the soliton for a finite distance in the direction ofits motion, and this mass is calculated as a function of its amplitude. It is also shown thatthe matter transport cannot be neglected for solitons of arbitrary amplitude.

Source: Digital Library of the Belarusian State University (Belarusian State University)

DOI: 10.5281/zenodo.14512093

Authors: Trukhachev, F.M., Gerasimenko, N.V., Vasiliev, M. M., Petrov, O. F.

Institutions: Belarusian Russian University, Russian Academy of Sciences, Joint Institute for High Temperatures

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6930577597

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