| Issue |
EPL
Volume 79, Number 2, July 2007
|
|
|---|---|---|
| Article Number | 20003 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/79/20003 | |
| Published online | 03 July 2007 | |
Compact travelling waves and non-smooth potentials
Dipartimento di Matematica, Università di Milano - via Saldini 50, 20133 Milano, Italy
Corresponding author: gaeta@mat.unimi.it
Received:
14
January
2007
Accepted:
5
June
2007
It is known that one-dimensional wave equations with nonlinear elastic term can support compact solitary travelling waves. We show that these are also supported by wave equations with linear elastic term and a non-smooth on-site potential. Some different features arise; in particular, the speed of compact travelling waves is not uniquely fixed by the equation.
PACS: 05.45.Yv – Solitons / 02.30.Hq – Ordinary differential equations / 02.30.Jr – Partial differential equations
© Europhysics Letters Association, 2007
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