Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices

We start by considering the sine-Gordon partial differential equation (PDE with an arbitrary perturbation. Using the method of Kuzmak-Luke, we investigate those conditions the perturbation must satisfy in order for a breather solution to be a valid leading-order asymptotic approximation to the p...

Full description

Bibliographic Details
Main Authors: Smith, Warren, Wattis, Jonathan
Format: Article
Published: Cambridge University Press 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/43989/