Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Time reversing solitary waves.

Jean-Pierre Fouque1, Josselin Garnier, Juan Carlos Muñoz Grajales

  • 1Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205, USA.

Physical Review Letters
|April 20, 2004
PubMed
Summary

We show how random forces can regularize nonlinear water waves, enabling time-reversal experiments beyond shock formation. Numerical simulations explore solitary wave refocusing in random media.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Spatiotemporal Thermalization and Adiabatic Cooling of Guided Light Waves.

Physical review letters·2026
Same author

Stochastic Dynamics of Incoherent Branched Flows.

Physical review letters·2025
Same author

Sensitivity analysis of colored-noise-driven interacting particle systems.

Physical review. E·2024
Same author

Automated approach for recovering modal components in shallow waters.

The Journal of the Acoustical Society of America·2024
Same author

Computing the diffusivity of a particle subject to dry friction with colored noise.

Physical review. E·2023
Same author

Pilot-wave dynamics: Using dynamic mode decomposition to characterize bifurcations, routes to chaos, and emergent statistics.

Physical review. E·2023

Area of Science:

  • Fluid dynamics
  • Nonlinear wave propagation
  • Stochastic processes

Background:

  • Nonlinear pulses in random media pose challenges for time-reversal.
  • Understanding solitary waves in random environments is crucial for wave phenomena.

Purpose of the Study:

  • To investigate the time reversal of nonlinear pulses, specifically solitary waves, in random media.
  • To demonstrate regularization of nonlinear conservation laws via stochastic forcing.
  • To explore solitary wave refocusing beyond theoretical frameworks.

Main Methods:

  • Analysis of nonlinear conservation laws with stochastic forcing.
  • Numerical simulations using a new Boussinesq model for solitary wave propagation.
  • Consideration of both hyperbolic and dispersive regimes for water waves.

Main Results:

  • Stochastic forcing regularizes nonlinear shallow water equations, creating viscous shock profiles.
  • Time-reversal experiments are enabled beyond the critical shock formation time.
  • Numerical experiments demonstrate solitary wave refocusing in transmission and reflection, even in unexplored regimes.

Conclusions:

  • Stochastic forcing offers a method to control and regularize nonlinear wave behavior in random media.
  • The study extends the possibilities of time-reversal experiments for nonlinear waves.
  • New Boussinesq model simulations provide insights into solitary wave dynamics in random environments.

Related Experiment Videos