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arXiv · 2512.18820

Painlev\'e Integrability And Shifted Nonlocal Reductions Of A Variable Coefficient Coupled HI Mkdv System

Taylan Demir
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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.

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Taylan Demir. 2025-12-21. Painlev\'e Integrability And Shifted Nonlocal Reductions Of A Variable Coefficient Coupled HI Mkdv System. https://arxiv.org/abs/2512.18820

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