https://doi.org/10.1140/epjb/e2016-70489-3
Regular Article
From solitons to discrete breathers
1 Instituto Pluridisciplinar,
UCM, Paseo Juan XXIII
1, 28040
Madrid,
Spain
2 Department of Physics, Saratov State
University, Astrakhanskaya
83, 410012
Saratov,
Russia
3 Institute of Physics, Humboldt
University, Newton strasse
15, 12489
Berlin,
Germany
4 Institute for Metals Superplasticity
Problems, Russian Academy of Sciences, Khalturin 39, 450001
Ufa,
Russia
5 Research Laboratory for Mechanics of
New Nanomaterials, Peter the Great St. Petersburg Polytechnical University,
195251
St. Petersburg,
Russia
6 Institute of Mathematical Problems of
Biology, Russian Academy of Sciences, Vitkevicha 1, 142290
Pushchino,
Russia
a
e-mail: mgvelarde@pluri.ucm.es
Received:
19
August
2016
Received in final form:
30
August
2016
Published online:
24
October
2016
The excitation of solitons and discrete breathers (pinned or otherwise, also known as intrinsic localized modes, DB/ILM) in a one-dimensional lattice, also denoted as a chain, is considered when both on-site and inter-site vibrations, coupled together, are governed by the empirical Morse interaction. We focus attention on the transformation of the former into the latter as the relative strength of the on-site potential to that of the inter-site potential is increased.
Key words: Solid State and Materials
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2016