Solitary waves in atomic chains and peridynamical media
arXiv:1810.01476 · doi:10.3934/mine.2019.2.281
Abstract
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 maximizing the potential energy subject to both a norm and a shape constraint. We also discuss the numerical computation of waves and study several asymptotic regimes.
revised version with corrected typos and minor changes; 25 pages, several figures
References in corpus (6)
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