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.
Compact travelling waves and non-smooth potentials / G. Gaeta. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - 79:2(2007), pp. 20003.20003-1-20003.20003-6. [10.1209/0295-5075/79/20003]
Compact travelling waves and non-smooth potentials
G. GaetaPrimo
2007
Abstract
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.
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