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

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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...

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

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