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arXiv · 2609.27813

Infinite cascades for the cubic nonlinear half-wave equation on the line

Xi Chen
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Abstract

We construct infinite-time Sobolev cascades for the cubic nonlinear half-wave equation on the real line. For $\frac12 \frac12$ in the focusing case and in the defocusing case.

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Xi Chen. 2026-08-18. Infinite cascades for the cubic nonlinear half-wave equation on the line. https://arxiv.org/abs/2609.27813

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