A visual approach to the ultradiscrete KdV equation with non-integer site values

Gilson, C. R. (2022) A visual approach to the ultradiscrete KdV equation with non-integer site values. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478(2262), 20220150. (doi: 10.1098/rspa.2022.0150)

Abstract

Simple visual approaches are used to examine the ultradiscrete KdV equation with arbitrary real values for the dependent variable. The number and sizes of the solitons in the system can be obtained straightforwardly using these visualizations. By identifying the initial soliton sizes and positions, the initial profile can be decomposed into its constituent parts, which can then be evolved separately, and then the evolved profile can be reconstructed.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Gilson, Dr Claire
• Authors: Gilson, C. R.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
• Publisher: The Royal Society
• ISSN: 1364-5021
• ISSN (Online): 1471-2946
• Published Online: 22 June 2022
• Copyright Holders: Copyright © 2022 The Author
• First Published: First published in Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 478(2262):20220150
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher