A reduction of the ultradiscrete modified KdV equation and its finite order solutions
Year: 2025
Type: article
Abstract: In this paper we will perform a reduction on the ultradiscrete modified Korteweg–De Vries equation. We will then describe the form of the solutions of the reduction in detail. We will also show that with certain parameter values the equation acquired from the reduction possesses only finite order solutions while with other parameter values the equation possesses infinite order solutions. Finally, we will pose a conjecture about the ultradiscrete Painlevé I equation.
Author: Juho Halonen
Institution: University of Eastern Finland
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,325
OpenAlex ID: W4411278195