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Related Experiment Video

Updated: May 8, 2025

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Soliton Dynamics over a Disordered Topography.

Guillaume Ricard1, Eric Falcon1

  • 1MSC, CNRS, Université Paris Cité, UMR 7057, F-75013 Paris, France.

Physical Review Letters
|January 29, 2025
PubMed
Summary

We experimentally observed how solitons behave in canals with varied bottoms, revealing Anderson localization effects. Soliton behavior changes with amplitude, with implications for coastal wave protection.

Area of Science:

  • Fluid dynamics
  • Nonlinear physics
  • Wave propagation

Background:

  • Solitons are self-reinforcing solitary waves.
  • Anderson localization describes wave confinement in disordered media.
  • Understanding soliton dynamics in complex environments is crucial for various applications.

Purpose of the Study:

  • To experimentally investigate soliton dynamics on fluid surfaces with random and periodic bottom topography.
  • To explore the influence of disorder and nonlinearity on soliton localization.
  • To characterize novel soliton behaviors in such environments.

Main Methods:

  • Utilized a 4-m-long canal with controlled bottom topography (random or periodic).
  • Employed full space-and-time resolved wave field measurements.

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  • Analyzed soliton amplitude, localization length, and emergent dynamics.

    • Main Results:

    • Demonstrated Anderson localization of solitons due to bottom topography.
    • Observed enhanced spatial attenuation of soliton amplitude with increasing nonlinearity.
    • Identified unique dynamics: fission into pulses (periodic) and scattering into dispersive waves (random).

    Conclusions:

    • Soliton localization is significantly influenced by both topography disorder and nonlinearity.
    • Weak amplitude solitons agree with linear shallow-water theory, while higher amplitudes show enhanced attenuation.
    • Findings suggest potential applications in ocean coastal protection strategies.