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arXiv · 2608.25227

From Spectral Curves to Variational Equations: Geometry and Differential Galois Theory of KdV Cnoidal Waves

Juan Jose Morales-Ruiz·Jean Pierre Ramis·Maria-Angeles Zurro
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Abstract

We provide a spectral geometric description of the KdV variational equation around cnoidal waves in terms of two interacting spectral curves.

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Juan Jose Morales-Ruiz, Jean Pierre Ramis, Maria-Angeles Zurro. 2026-08-25. From Spectral Curves to Variational Equations: Geometry and Differential Galois Theory of KdV Cnoidal Waves. https://arxiv.org/abs/2608.25227

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