Related Experiment Video
Updated: Jan 8, 2026

11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
8.9K
Correlated internal waves in the nonlocal Ostrovsky equation
Junchao Sun1, Xiaoyan Tang2, Yong Chen1,2
1Shandong University of Science and Technology, College of Mathematics and Systems Science, Qingdao 266590, China.
Physical Review. E
|December 23, 2025
Summary
This study models two internal waves using a nonlocal Ostrovsky equation. Results show wave behavior depends on initial symmetry, with rotation impacting solitary and nonlinear wave packets differently.
Area of Science:
- Fluid dynamics
- Nonlinear physics
- Wave propagation
Background:
- Internal waves are crucial oceanic phenomena.
- Understanding wave interactions and effects of rotation is vital.
- Nonlocal Ostrovsky equation models these complex dynamics.
Purpose of the Study:
- Derive a nonlocal Ostrovsky equation for two internal waves.
- Analyze wave correlations and interactions under different initial conditions.
- Investigate the influence of rotation and shear flow on wave behavior.
Main Methods:
- Mathematical derivation of the nonlocal Ostrovsky equation.
- Numerical simulations of internal wave dynamics.
- Analysis of wave structures (cnoidal, solitary, snoidal) under rotation and shear flow.
Main Results:
- PT-symmetry invariant conditions yield cnoidal waves or nonlinear wave packets with antiphase amplitudes.
- PT-symmetry breaking conditions result in snoidal waveforms with asymmetric crests, amplitude anticorrelation, and phase lag.
- Stronger rotation accelerates solitary wave attenuation and enhances snoidal waveform asymmetry.
- Shear flow can mitigate the effects of rotation.
Conclusions:
- Initial symmetry conditions significantly dictate internal wave behavior under rotation.
- Rotation introduces asymmetry and interference patterns in internal waves.
- Shear flow offers a mechanism to counteract rotational effects on internal waves.
More Related Videos
Related Concept Videos
Propagation of Waves
2.8K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
2.8K
Equations of Wave Motion
8.2K
Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
8.2K
Interference and Superposition of Waves
6.3K
When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
6.3K
Standing Waves in a Cavity
1.4K
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
1.4K
Navier–Stokes Equations
2.0K
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
2.0K
Travelling Waves
6.6K
A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
6.6K

