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 Video

Updated: Jan 4, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.9K

Nonintegrable spatial discrete nonlocal nonlinear schrödinger equation.

Jia-Liang Ji1, Zong-Wei Xu2, Zuo-Nong Zhu3

  • 1School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, 333 Longteng Road, Shanghai 201620, People's Republic of China.

Chaos (Woodbury, N.Y.)
|November 3, 2019
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

56.3K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
56.3K
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

4.1K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
4.1K
The de Broglie Wavelength02:32

The de Broglie Wavelength

32.8K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
32.8K
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

305
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
305
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.8K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
7.8K
Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

1.1K
James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and...
1.1K

You might also read

Related Articles

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

Sort by
Same author

A coupled focusing-defocusing complex short pulse equation: Multisoliton, breather, and rogue wave.

Chaos (Woodbury, N.Y.)·2018
Same author

On the continuum limit for a semidiscrete Hirota equation.

Proceedings. Mathematical, physical, and engineering sciences·2016
Same author

Dynamics of a differential-difference integrable (2+1)-dimensional system.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

CdS nanoflake arrays for highly efficient light trapping.

Advanced materials (Deerfield Beach, Fla.)·2014
Same author

Nonintegrable semidiscrete Hirota equation: gauge-equivalent structures and dynamical properties.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014

This study investigates a nonintegrable discrete nonlocal nonlinear Schrödinger (NLS) equation. Researchers numerically found new properties in its solutions, differing from the standard NLS equation.

Area of Science:

  • Nonlinear Physics
  • Mathematical Physics
  • Computational Physics

Background:

  • Discrete nonlinear Schrödinger (NLS) equations model various physical phenomena.
  • Nonlocal integrable equations, including nonlocal NLS, were recently introduced.
  • The integrable nonlocal discrete NLS is solvable via inverse scattering transform.

Purpose of the Study:

  • To study a nonintegrable discrete nonlocal NLS equation.
  • To numerically present stationary solutions and examine their linear stability.
  • To investigate the Cauchy problem for the nonlocal NLS and compare its numerical solutions with the standard NLS.

Main Methods:

  • Discrete Fourier transform
  • Modified Neumann iteration
  • Numerical analysis of stationary solutions

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.6K
Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

11.7K

Related Experiment Videos

Last Updated: Jan 4, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.9K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.6K
Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

11.7K
  • Linear stability analysis
  • Numerical simulation of the Cauchy problem

    • Main Results:

    • Stationary solutions for the nonintegrable discrete nonlocal NLS were numerically obtained.
    • Linear stability of these stationary solutions was assessed.
    • Numerical solutions to the Cauchy problem exhibited distinct properties compared to the standard NLS equation.

    Conclusions:

    • The study successfully characterized the nonintegrable discrete nonlocal NLS.
    • New numerical properties were identified for the nonlocal NLS Cauchy problem.
    • This work contributes to understanding nonlocal nonlinear wave phenomena.