Solitary waves in atomic chains and peridynamical media

Peridynamics describes the nonlinear interactions in spatially extended Hamiltonian systems by nonlocal integro-differential equations, which can be regarded as the natural generalization of lattice models. We prove the existence of solitary traveling waves for super-quadratic potentials by maximizi...

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Bibliographic Details
Main Authors: Michael Herrmann, Karsten Matthies
Format: Article
Language:English
Published: AIMS Press 2019-09-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2019.2.281/fulltext.html