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

Interaction between sine-Gordon breathers.

P G Kevrekidis1, A Saxena, A R Bishop

  • 1Theoretical Division, Los Alamos National Laboratory, New Mexico 87545, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2001
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

Patterns and Stability of Coupled Multi-Stable Nonlinear Oscillators.

Chaos, solitons, and fractals·2023
Same author

Measurement and memory in the periodically driven complex Ginzburg-Landau equation.

Physical review. E·2022
Same author

Bubble lifetimes in DNA gene promoters and their mutations affecting transcription.

The Journal of chemical physics·2021
Same author

Distributions of bubble lifetimes and bubble lengths in DNA.

Physical review. E·2021
Same author

Speed-of-light pulses in the massless nonlinear Dirac equation with a potential.

Physical review. E·2018
Same author

Variational approach to studying solitary waves in the nonlinear Schrödinger equation with complex potentials.

Physical review. E·2016
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

This study analyzes breather interactions in the sine-Gordon equation, revealing their dependence on separation and frequency. It also shows breather lattices can be stabilized using AC driving and damping.

Area of Science:

  • Nonlinear dynamics
  • Mathematical physics

Background:

  • The sine-Gordon equation models various physical phenomena.
  • Breather solutions represent localized, oscillating wave packets.

Purpose of the Study:

  • To investigate the asymptotic interaction between two breathers.
  • To analyze the stability of breather lattices.
  • To explore stabilization methods for these structures.

Main Methods:

  • Utilizing the exact breather lattice solution of the sine-Gordon equation.
  • Performing numerical simulations of breather lattice dynamics.
  • Analyzing the effects of AC driving and damping.

Main Results:

  • Identified exponential dependence of breather interaction on separation.

Related Experiment Videos

  • Determined power-law dependence on breather frequency.
  • Demonstrated breather lattice instability.
  • Showed feasible stabilization via AC driving and damping.
  • Derived leading-order interaction terms for pseudosphere and kink-antikink pairs.

    • Conclusions:

    • Breather interactions exhibit specific dependencies on their parameters.
    • Breather lattices are unstable but can be stabilized.
    • The study provides insights into complex wave phenomena in the sine-Gordon model.