Published April 27, 2007
| Version v1
Journal article
Compact solitary waves in linearly elastic chains with non-smooth on-site potential
- 1. Dipartimento di Matematica, Universita di Milano, Via Saldini 50, 20133 Milan (Italy)
- 2. Dipartimento di Matematica e Informatica, Universita di Cagliari, Via Ospedale 72, 09124 Cagliari (Italy)
- 3. Lehrstuhl A Mathematik, RWTH Aachen, 52056 Aachen (Germany)
Description
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
Additional details
Identifiers
- DOI
- 10.1088/1751-8113/40/17/007;
- PII
- S1751-8113(07)38602-2;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 40
- Journal Issue
- 17
- Journal Page Range
- p. 4493-4509
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38069026
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EQUATIONS; INTERACTIONS; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS