Korteweg–de Vries waves in peridynamical media

Author:

Herrmann Michael1,Kleine Katia1

Affiliation:

1. Technische Universität Braunschweig Braunschweig Germany

Abstract

AbstractWe 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.

Publisher

Wiley

Subject

Applied Mathematics

Reference46 articles.

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5. Solitary waves in a peridynamic elastic solid

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