Volume 79, Number 2, July 2007
|Number of page(s)||6|
|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: firstname.lastname@example.org
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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