Volume 123, Number 3, August 2018
|Number of page(s)||7|
|Published online||04 September 2018|
Solitary waves and localized nonlinear excitations in the strongly nonlinear β-Fermi-Pasta-Ulam-Tsingou chain
Physics Department, State University of New York at Buffalo - Buffalo, NY 14260-1500, USA
Received: 17 January 2018
Accepted: 7 August 2018
We develop new analytic descriptions for solitary waves (SWs) and SW-like objects in the non-integrable and strongly nonlinear β-Fermi-Pasta-Ulam-Tsingou (β-FPUT) system for various strengths of the harmonic term in the potential. We then show that that the collision of identical solitary waves in the decorated β-FPUT chain can lead to the formation of one or more long-lived localized nonlinear excitations (LNEs), thereby suggesting that these systems allow engineering of preferential energy distribution over extended times.
PACS: 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05) / 05.45.-a – Nonlinear dynamics and chaos / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2018
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