Almost compact breathers in anharmonic lattices near the continuum limit.
Certain strictly anharmonic one-dimensional lattices support discrete breathers over a macroscopic localized domain that in the continuum limit becomes exactly compact. The discrete breather tails decay at a double-exponential rate, so such systems can store energy locally, especially since discrete breathers appear to be stable for amplitudes below a sharp stability threshold. The effective width of other solutions broadens over time, but, under appropriate conditions, only after a positive waiting time. The continuum limit of a planar hexagonal lattice also supports a compact breather.
Rosenau
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School of Mathematical Sciences, Tel-Aviv University, Tel Aviv 69978, Israel. rosenau@post.tau.ac.il
Schochet
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