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

Multidimensional compactons.

Philip Rosenau1, James M Hyman, Martin Staley

  • 1School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel. rosenau@post.tau.ac.il

Physical Review Letters
|March 16, 2007
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

COVID-19 forecasting from U.S. wastewater surveillance data: A retrospective multi-model study (2022-2024).

Journal of theoretical biology·2026
Same author

Effect of Preventive Measures and Heterogeneity of Sexual Contacts on Zika virus Transmission.

Bulletin of mathematical biology·2026
Same author

Improving Wolbachia-based control programs in urban settings: Insights from spatial modeling.

PLoS neglected tropical diseases·2025
Same author

Computational Properties of the Prefrontal Cortex.

The Journal of neuroscience : the official journal of the Society for Neuroscience·2025
Same author

ACC Reward Location Information Is Carried by Hippocampal Theta Synchrony and Suppressed in a Type 2 Diabetes Model.

The Journal of neuroscience : the official journal of the Society for Neuroscience·2025
Same author

ELISA protein detector (EPD): A Python-based ELISA tool for accurate low-level protein quantification.

Journal of immunological methods·2025
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

This study investigates a nonlinear dispersive equation, revealing that initial pulses break into stable, self-moving compactons. These compactons maintain their form even after collisions.

Area of Science:

  • Nonlinear Dynamics
  • Mathematical Physics
  • Partial Differential Equations

Background:

  • Nonlinear dispersive equations model complex phenomena.
  • Understanding compacton behavior is crucial for wave propagation studies.
  • Previous research has explored various aspects of nonlinear wave equations.

Purpose of the Study:

  • To analyze the CN(m,a+b) nonlinear dispersive equation in 2 and 3 dimensions.
  • To investigate the formation and behavior of compactons under specific conditions.
  • To examine the interaction dynamics of these compacton solutions.

Main Methods:

  • Analytical study of the nonlinear dispersive equation: u(t)+(u(m))x + [u(a)inverted delta2ub]x=0.
  • Investigating solutions exhibiting cylindrical and spherical symmetry.

Related Experiment Videos

  • Observing the evolution of initial pulses and compacton collisions.

    • Main Results:

    • The equation generates cylindrically and spherically symmetric compactons.
    • An initial pulse decomposes into a series of robust compactons.
    • Colliding compactons largely preserve their integrity post-interaction.

    Conclusions:

    • The CN(m,a+b) equation supports robust, convected compacton solutions.
    • Compacton interactions are shown to be remarkably stable.
    • This provides insights into nonlinear wave phenomena and particle-like solutions.