Asymptotic approximations to travelling waves in the diatomic Fermi-Pasta-Ulam lattice

Asymptotic approximations to travelling waves in the diatomic Fermi-Pasta-Ulam lattice

We construct high-order approximate travelling waves solutions of the diatomic Fermi-Pasta-Ulam lattice using asymptotic techniques which are valid for arbitrary mass ratios. Separately small amplitude ansatzs are made for the motion of the lighter and heavier particles, which are coupled The Fredho...

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Bibliographic Details
Main Author: Jonathan A. D. Wattis
Format: Article
Language:English
Published: AIMS Press 2019-03-01
Series:Mathematics in Engineering
Subjects:
solitary travelling waves
lattice dynamics
diatomic
FPU
asymptotic analysis
Online Access:https://www.aimspress.com/article/10.3934/mine.2019.2.327/fulltext.html
Description
Summary:We construct high-order approximate travelling waves solutions of the diatomic Fermi-Pasta-Ulam lattice using asymptotic techniques which are valid for arbitrary mass ratios. Separately small amplitude ansatzs are made for the motion of the lighter and heavier particles, which are coupled The Fredholm alternative is used to derive consistency conditions, whose solution generates small amplitude expansions for both sets of particles.
ISSN:2640-3501

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