Painlev\'e Integrability And Shifted Nonlocal Reductions Of A Variable Coefficient Coupled HI Mkdv System
Exactly Solvable and Integrable Systems
2025-12-23 v1 Mathematical Physics
math.MP
Abstract
We analyze a variable coefficient coupled HI mKdV system that has shifted nonlocal reductions. The Weiss Tabor Carnevale test gives us coefficient restrictions to perform a time reparametrization to achieve an autonomous integrable model. We also show a Hirota bilinear form along with a simplified example to demonstrate how the shifted symmetries create new symmetry centers, but do not affect the shape of the soliton.
Keywords
Cite
@article{arxiv.2512.18820,
title = {Painlev\'e Integrability And Shifted Nonlocal Reductions Of A Variable Coefficient Coupled HI Mkdv System},
author = {Taylan Demir},
journal= {arXiv preprint arXiv:2512.18820},
year = {2025}
}
Comments
13 pages, 0 figures