ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Kanakov O. I., Flah S. ., Shalfeev V. D. Introduction to discrete breathers theory. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 3, pp. 112-128. DOI: 10.18500/0869-6632-2008-16-3-112-128

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Language: 
Russian
Heading: 
Nonlinear Waves. Solitons
Article type: 
Review
UDC: 
537.86
DOI: 
10.18500/0869-6632-2008-16-3-112-128

Introduction to discrete breathers theory

Autors: 
Kanakov Oleg Igorevich, Lobachevsky State University of Nizhny Novgorod
Flah Sergej , Institute of Complex Systems of the Max Planck Society
Shalfeev Vladimir Dmitrievich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

We make a basic review of the theory of discrete breathers – spatially localized solutions in nonlinear lattices. We describe the mathematical conditions and physical prerequisites of their existence and methods of their study by example of one-dimensional lattices. We consider localized solutions with infinite and finite lifetimes. We include some new results within the problems of discrete breather generation resulting from harmonic wave destruction and controlling the formation of rotational breather solutions by external forcing.

Key words: 
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Received: 
18.04.2008
Accepted: 
18.04.2008
Published: 
30.06.2008
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