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3 February 2023

14 Pages

Solitary Waves and Their Interactions in the Cylindrical Korteweg–De Vries Equation

,
and
1
Henan Academy of Big Data, School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China
2
College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China
3
School of Mathematics, Physics and Computing, University of Southern Queensland, 487–535 West St., Toowoomba, QLD 4350, Australia
4
Department of Applied Mathematics, Nizhny Novgorod State Technical University, n.a. R.E. Alekseev, 24 Minin St., Nizhny Novgorod 603950, Russia
Symmetry2023, 15(2), 413;https://doi.org/10.3390/sym15020413
This article belongs to the Special Issue Wave Processes in Fluids with Symmetric Density Stratification
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Abstract

We consider approximate, exact, and numerical solutions to the cylindrical Korteweg–de Vries equation. We show that there are different types of solitary waves and obtain the dependence of their parameters on distance. Then, we study the interaction of solitary waves of different types.

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