Solitary waves and localized nonlinear excitations in the strongly nonlinear β-Fermi-Pasta-Ulam-Tsingou chain

Alexandra Westley; Surajit Sen

doi:10.1209/0295-5075/123/30005

Solitary waves and localized nonlinear excitations in the strongly nonlinear β-Fermi-Pasta-Ulam-Tsingou chain

Alexandra Westley
, Surajit Sen

Physics

SUNY Buffalo

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Article number	30005
Journal	Europhysics Letters
Volume	123
Issue number	3
DOIs	https://doi.org/10.1209/0295-5075/123/30005
State	Published - Aug 2018

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title = "Solitary waves and localized nonlinear excitations in the strongly nonlinear β-Fermi-Pasta-Ulam-Tsingou chain",

abstract = "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.",

author = "Alexandra Westley and Surajit Sen",

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AU - Westley, Alexandra

AU - Sen, Surajit

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PY - 2018/8

Y1 - 2018/8

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85054023796

U2 - 10.1209/0295-5075/123/30005

DO - 10.1209/0295-5075/123/30005

M3 - Article

AN - SCOPUS:85054023796

SN - 0295-5075

VL - 123

JO - Europhysics Letters

JF - Europhysics Letters

IS - 3

M1 - 30005

ER -

Solitary waves and localized nonlinear excitations in the strongly nonlinear β-Fermi-Pasta-Ulam-Tsingou chain

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