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Solitary waves in dimer binary collision model

Ahsan, Zaid and Jayaprakash, K R (2017) Solitary waves in dimer binary collision model. In: JOURNAL OF APPLIED PHYSICS, 121 (3).

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Official URL: http://dx.doi.org/10.1063/1.4974298

Abstract

Solitary wave propagation in nonlinear diatomic (dimer) chains is a very interesting topic of research in the study of nonlinear lattices. Such waves were recently found to be supported by the essentially nonlinear granular lattice and Toda lattice. An interesting aspect of this discovery is attributed to the realization of a spectrum of the mass ratio (the only system parameter governing the dynamics) that supports the propagation of such waves corresponding to the considered interaction potential. The objective of this exposition is to explore solitary wave propagation in the dimer binary collision (BC) model. Interestingly, the dimer BC model supports solitary wave propagation at a discrete spectrum of mass ratios similar to those observed in granular and Toda dimers. Further, we report a qualitative and one-to-one correspondence between the spectrum of the mass ratio corresponding to the dimer BC model and those corresponding to granular and Toda dimer chains. Published by AIP Publishing.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 15 Mar 2017 04:35
Last Modified: 15 Mar 2017 04:35
URI: http://eprints.iisc.ernet.in/id/eprint/56384

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