It was recently observed by Saccomandi and Sgura that one-dimensional chains with nonlinear elastic interaction and regular on-site potential can support compact solitary waves, i.e. travelling solitary waves with strictly compact support. In this paper, we show that the same applies to chains with linear elastic interaction and an on-site potential which is continuous but non-smooth at minima. Some different features arise; in particular, the speed of compact solitary waves is not uniquely fixed by the equation. We also discuss several generalizations of our findings.
|Titolo:||Compact solitary waves in linearly elastic chains with non-smooth on-site potential|
|Autori interni:||GAETA, GIUSEPPE (Primo)|
|Parole Chiave:||Solitons ; compactons ; nonlinear dynamics|
|Settore Scientifico Disciplinare:||Settore MAT/07 - Fisica Matematica|
|Data di pubblicazione:||2007|
|Digital Object Identifier (DOI):||10.1088/1751-8113/40/17/007|
|Appare nelle tipologie:||01 - Articolo su periodico|