Solitary waves in dimer binary collision model: a comparative study with granular dimers

Abstract

Solitary wave propagation in nonlinear diatomic (dimer) lattice is a very interesting aspect of research in the study of nonlinear lattices. Such waves have been recently found to be supported by essentially nonlinear granular dimer lattices at a discrete spectrum of mass ratio (the only system parameter governing the dynamics). In this work we explore solitary wave propagation in dimer binary collision (BC) model. Interestingly, the dimer BC model supports solitary wave propagation at a discrete spectrum of mass ratios similar to that observed in granular dimers. Further, we report a qualitative and one-to-one correspondence between the spectrum of mass ratio supporting solitary waves in dimer BC model and granular dimer chain.