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

Mathematics in Engineering

Jonathan A. D. Wattis¹ 

[1] School of Mathematical Sciences,University of Nottingham,University Park,Nottingham,NG7 2RD,UK;

关键词: solitary travelling waves;    lattice dynamics;    diatomic;    FPU;    asymptotic analysis;   

DOI  :  10.3934/mine.2019.2.327

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown