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arXiv · 2305.13294

Korteweg-de Vries waves in peridynamical media

Michael Herrmann·Katia Kleine
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Abstract

We consider a one-dimensional peridynamical medium and show the existence of solitary waves with small amplitudes and long wavelength. Our proof uses nonlinear Bochner integral operators and characterizes their asymptotic properties in a singular scaling limit.

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Michael Herrmann, Katia Kleine. 2023-05-22. Korteweg-de Vries waves in peridynamical media. https://arxiv.org/abs/2305.13294

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