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SubmittedOpen Access (License Unspecified), Open
Journal article
Solitary waves in mass-in-mass lattices
Zeitschrift für angewandte Mathematik und Physik, v 71(6)
2020
Abstract
We consider the existence of spatially localized traveling wave solutions of the mass-in-mass lattice. Under an anti-resonance condition first discovered by Kevrekidis, Stefanov and Xu, we prove that such solutions exist in two distinguished limits; the first where the mass of the internal resonator is small and the second where the internal spring is very stiff. We then numerically simulate the solutions, and these simulations indicate that the anti-resonant traveling waves are
very
weakly unstable.
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Details
- Title
- Solitary waves in mass-in-mass lattices
- Creators
- Timothy E. Faver - Leiden UniversityRoy H. Goodman - New Jersey Institute of TechnologyJ. Douglas Wright - Drexel University
- Publication Details
- Zeitschrift für angewandte Mathematik und Physik, v 71(6)
- Publisher
- Springer International Publishing
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000585891800001
- Scopus ID
- 2-s2.0-85095118623
- Other Identifier
- 991019182651904721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied