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 Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Data-driven soliton manifold approximations for dark and bright waves: Some prototypical 1D case examples.

Chaos (Woodbury, N.Y.)·2026
Same author

Direct observation of long-range many-body coherence in quasi-one-dimensional attractive Bose gases.

Nature communications·2026
Same author

Unveiling solitonic collisions in mechanical metamaterials.

Science advances·2026
Same author

Robust moment identification for nonlinear PDEs via a neural ODE approach.

Chaos (Woodbury, N.Y.)·2025
Same author

Parametric resonance in the non-autonomous sine-Gordon model.

Chaos (Woodbury, N.Y.)·2025
Same author

Kink dynamics in a non-autonomous sine-Gordon model.

Chaos (Woodbury, N.Y.)·2025

Related Experiment Video

Updated: May 21, 2025

Image-based Lagrangian Particle Tracking in Bed-load Experiments
10:32

Image-based Lagrangian Particle Tracking in Bed-load Experiments

Published on: July 20, 2017

8.9K

Kink movement on a periodic background.

Tomasz Dobrowolski1, Jacek Gatlik2, Panayotis G Kevrekidis3

  • 1University of the National Education Commission in Krakow, Department of Computer Physics and Quantum Computing, Podchorążych 2, 30-084 Cracow, Poland.

Physical Review. E
|March 19, 2025
PubMed
Summary
This summary is machine-generated.

Researchers studied the sine-Gordon (sG) model

More Related Videos

Quantitative Locomotion Study of Freely Swimming Micro-organisms Using Laser Diffraction
10:03

Quantitative Locomotion Study of Freely Swimming Micro-organisms Using Laser Diffraction

Published on: October 25, 2012

11.5K
A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors
11:15

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors

Published on: May 30, 2016

25.1K

Related Experiment Videos

Last Updated: May 21, 2025

Image-based Lagrangian Particle Tracking in Bed-load Experiments
10:32

Image-based Lagrangian Particle Tracking in Bed-load Experiments

Published on: July 20, 2017

8.9K
Quantitative Locomotion Study of Freely Swimming Micro-organisms Using Laser Diffraction
10:03

Quantitative Locomotion Study of Freely Swimming Micro-organisms Using Laser Diffraction

Published on: October 25, 2012

11.5K
A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors
11:15

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors

Published on: May 30, 2016

25.1K

Area of Science:

  • Nonlinear dynamics
  • Theoretical physics
  • Condensed matter physics

Background:

  • The sine-Gordon (sG) model describes various physical phenomena, including.

Purpose of the Study:

  • To investigate the behavior of kinks in the sine-Gordon model with periodic inhomogeneity.
  • To develop a reliable effective model for describing kink dynamics.

Main Methods:

  • An ansatz was proposed to construct an effective model with two degrees of freedom.
  • Numerical solutions of the sG model were obtained for kink evolution under various conditions.
  • Comparison between field equation results and effective model predictions.

Main Results:

  • Effective models show excellent agreement with the original sG partial differential equation.
  • The models are valid in nonperturbative regions and for relativistic velocities.
  • Agreement is maintained even with bias current and dissipation.

Conclusions:

  • The proposed effective model accurately captures kink behavior in inhomogeneous sine-Gordon systems.
  • The effective model provides a reliable and computationally efficient alternative to solving the full field equation.
  • Initial conditions influence the agreement between the field and effective models.