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S. Chapman

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Preprint Oct 2026

The emergence of rapid oscillations in a fifth-order KdV equation

We consider the emergence of rapidly propagating, exponentially small-amplitude oscillations in the impulsively started fifth-order Korteweg--de Vries equation (KdV5), and demonstrate that these waves originate due to Stokes'phenomenon in a small-time boundary layer. We rescale the problem in time and construct an auxi...

Christopher J. Lustri, S. Chapman, R. Nicotra · 0 citations

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