On the generation and propagation of solitary waves in integrable and non-integrable nonlinear lattices

19 Feb 2020 Deng Guo Biondini Gino Sen Surajit Kevrekidis Panayotis

We investigate the generation and propagation of solitary waves in the context of the Hertz chain and Toda lattice, with the aim to highlight the similarities, as well as differences between these systems. We begin by discussing the kinetic and potential energy of a solitary wave in these systems, and show that under certain circumstances the kinetic and potential energy profiles in these systems (i.e., their spatial distribution) look reasonably close to each other... (read more)

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  • PATTERN FORMATION AND SOLITONS