Year: 2026
Type: preprint
Abstract: Interactions of two solitary waves having an up and a down orientation in the modified Korteweg-de Vries equation are shown to produce rogue-like waves. For waves that asymptotically vanish, the maximum ratio between the net peak-to-trough height of the interaction profile and the height of the tallest incoming wave is 2.41 when the waves have approximately equal speeds, and this ratio decreases to 2 when the speed ratio is 2.25. For waves that approach a non-zero constant at infinity, the same ratio is always greater than 2.41 and reaches a maximum of 2.65 when the speed ratio of the waves is 6.32.
Source: arXiv (Cornell University)
Authors: Anco, Stephen C., Maan, Jaskaran
Institution: Brock University
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: W7212185904