Compactlike discrete breathers in systems with nonlinear and nonlocal dispersive terms (bibtex)
@article{GF2005,
abstract = {Discrete breathers with purely anharmonic short-range interaction potentials localize superexponentially becoming compactlike. We analyze their spatial localization properties and their dynamical stability. Several branches of solutions are identified. One of them connects to the well-known Page and Sievers-Takeno lattice modes, another one connects with the compacton solutions of Rosenau. The absence of linear dispersion allows for extremely long-lived time-quasiperiodic localized excitations. Adding long-range anharmonic interactions leads to an extreme case of competition between length scales defining the spatial breather localization. We show that short- and long-range interaction terms competition results in the appearance of several characteristic crossover lengths and essentially breaks the concept of compactness of the corresponding discrete breathers.},
author = {Gorbach, A V and Flach, S},
doi = {10.1103/PhysRevE.72.056607},
issn = {1539-3755},
journal = {PHYSICAL REVIEW E},
month = {nov},
number = {5, Part 2},
title = {{Compactlike discrete breathers in systems with nonlinear and nonlocal dispersive terms}},
volume = {72},
year = {2005}
}
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