Breather Wave Molecules

Gang Xu, Andrey Gelash, Amin Chabchoub, Vladimir Zakharov, and Bertrand Kibler
Phys. Rev. Lett. 122, 084101 – Published 27 February 2019
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Abstract

We present both a theoretical description and experimental observation of the nonlinear mutual interactions between a pair of copropagative breathers in the framework of the focusing one-dimensional nonlinear Schrödinger equation. As a general case, we show that the resulting bound state of breathers exhibits moleculelike behavior with quasiperiodic oscillatory dynamics (i.e., internal coherent interactions and pulsations), while for commensurate conditions the molecule oscillations become exactly periodic. Our theoretical model is confirmed by an experimental observation of shaped moleculelike breather light waves propagating in a nearly conservative optical fiber system. Our work sheds new light on the existence of localized wave structures and recurrence dynamics beyond the multisoliton complexes.

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  • Received 31 October 2018

DOI:https://doi.org/10.1103/PhysRevLett.122.084101

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Gang Xu1,†, Andrey Gelash2,3,†, Amin Chabchoub4, Vladimir Zakharov5,6, and Bertrand Kibler1,*

  • 1Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), UMR 6303 CNRS-Université Bourgogne Franche-Comté, 21078 Dijon, France
  • 2Novosibirsk State University, Novosibirsk 630090, Russia
  • 3Institute of Thermophysics, SB RAS, Novosibirsk 630090, Russia
  • 4Centre for Wind, Waves and Water, School of Civil Engineering, The University of Sydney, Sydney, New South Wales 2006, Australia
  • 5Landau Institute for Theoretical Physics RAS, Chernogolovka 142432, Russia
  • 6University of Arizona, Tucson, Arizona 857201, USA

  • *bertrand.kibler@u-bourgogne.fr
  • These authors contributed equally to this work.

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Issue

Vol. 122, Iss. 8 — 1 March 2019

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