hydro_tunneling_soli.pdf (2.82 MB)
Download file

Solitonic dispersive hydrodynamics: theory and observation

Download (2.82 MB)
journal contribution
posted on 06.03.2018, 11:13 by Michelle D Maiden, Dalton V. Anderson, Nevil A. Franco, Gennady El, M.A. Hoefer
Ubiquitous nonlinear waves in dispersive media include localized solitons and extended hydrodynamic states such as dispersive shock waves. Despite their physical prominence and the development of thorough theoretical and experimental investigations of each separately, experiments and a unified theory of solitons and dispersive hydrodynamics are lacking. Here, a general soliton-mean field theory is introduced and used to describe the propagation of solitons in macroscopic hydrodynamic flows. Two universal adiabatic invariants of motion are identified that predict trapping or transmission of solitons by hydrodynamic states. The result of solitons incident upon smooth expansion waves or compressive, rapidly oscillating dispersive shock waves is the same, an effect termed hydrodynamic reciprocity. Experiments on viscous fluid conduits quantitatively confirm the soliton-mean field theory with broader implications for nonlinear optics, superfluids, geophysical fluids, and other dispersive hydrodynamic media.

Funding

This work was supported by NSF CAREER DMS1255422 (DVA, NAF, MAH), the NSF GRFP (MDM), NSF EXTREEMS-QED DMS-1407340 (DVA), and EPSRC grant EP/R00515X/1 (GAE).

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Letters

Citation

MAIDEN, M.D. ... et al, 2018. Solitonic dispersive hydrodynamics: theory and observation. Physical Review Letters, 120 (14), 144101.

Publisher

© American Physical Society

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

27/02/2018

Publication date

2018

Notes

This paper was published in the journal Physical Review Letters and the definitive published version is available at https://doi.org/10.1103/PhysRevLett.120.144101.

ISSN

0031-9007

eISSN

1079-7114

Language

en

Usage metrics

Keywords

Exports