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

Discrete nonlinear model with substrate feedback.

P G Kevrekidis1, B A Malomed, A R Bishop

  • 1Department of Mathematics and Statistics, University of Massachusetts, Amherst 01003-4515, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 22, 2002
PubMed
Summary
This summary is machine-generated.

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

Dispersive shock waves in periodic lattices.

Physical review. E·2026
Same author

Experimentally tractable generation of high-order rogue waves in Bose-Einstein condensates.

Physical review. E·2026
Same author

Nonlinear Stage of Modulational Instability in Repulsive Two-Component Bose-Einstein Condensates.

Physical review letters·2025
Same author

Nonlinear management of the miscibility-immiscibility transition in binary Bose-Einstein condensates.

Physical review. E·2025
Same author

Stability and dynamics of massive vortices in two-component Bose-Einstein condensates.

Physical review. E·2025
Same author

Generic Transverse Stability of Kink Structures in Atomic and Optical Nonlinear Media with Competing Attractive and Repulsive Interactions.

Physical review letters·2025

This study explores a nonlinear field model on a flexible substrate, revealing how the substrate alters kink properties. Stable and unstable kinks persist beyond a critical coupling point, impacting their behavior in collisions.

Area of Science:

  • Condensed Matter Physics
  • Nonlinear Dynamics
  • Computational Physics

Background:

  • Investigates nonlinear field dynamics on flexible substrates, a system with potential applications in diverse physical phenomena.
  • Focuses on the feedback mechanism between the field and substrate, influencing the overall system behavior.
  • Examines the modified Frenkel-Kontorova model as a simplified one-dimensional Hamiltonian representation.

Purpose of the Study:

  • To identify the underlying physics and potential applications of nonlinear fields coupled to feedback substrates.
  • To analyze the static and dynamic properties of kink solutions in a modified Frenkel-Kontorova model.
  • To understand the influence of the substrate on kink stability and interactions.

Main Methods:

  • Analytical and numerical investigation of a one-dimensional modified Frenkel-Kontorova model.

Related Experiment Videos

  • Study of static kink solutions and their stability properties.
  • Analysis of moving kinks, including the continuum limit, and kink-antikink collisions.

    • Main Results:

    • The flexible substrate effectively renormalizes the properties of kinks, altering their stability and dynamics.
    • Stable and unstable kink solutions extend beyond a critical point where intersite coupling vanishes, contrary to expectations.
    • Kink-antikink collisions exhibit an alternation between merger and transmission phenomena.

    Conclusions:

    • The interplay between nonlinear fields and flexible substrates leads to non-intuitive phenomena in kink dynamics.
    • The model provides insights into systems where feedback mechanisms are crucial.
    • Further research can explore more complex substrate interactions and higher-dimensional models.