Related Experiment Video
Updated: Feb 23, 2026
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
9.1K
Non-autonomous multi-rogue waves for spin-1 coupled nonlinear Gross-Pitaevskii equation and management by external
1School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang, 110034, China.
Scientific Reports
|September 8, 2017
Summary
We explore non-autonomous rogue waves in a spin-1 coupled nonlinear Gross-Pitaevskii equation. These complex wave solutions can form unique bright-dark shapes, influenced by external potentials.
Area of Science:
- Nonlinear physics
- Quantum mechanics
- Optics
Background:
- Nonlinear wave phenomena are crucial in diverse physical systems.
- Rogue waves, or freak waves, are extreme amplitude events.
- Coupled nonlinear systems exhibit complex dynamics.
Purpose of the Study:
- Investigate non-autonomous multi-rogue wave solutions.
- Analyze the impact of external potentials on rogue wave dynamics.
- Explore novel bright-dark rogue wave structures.
Main Methods:
- Utilized similarity transformations to connect to integrable models.
- Analyzed the spin-1 coupled nonlinear Gross-Pitaevskii equation.
- Employed analytical methods to study wave management and dynamics.
Main Results:
- Related spin-1 coupled nonlinear GP equation solutions to CNLS equation solutions.
- Demonstrated the influence of time-dependent potentials on rogue wave profiles.
- Observed novel bright-dark rogue waves with two peaks and a dip.
Conclusions:
- Non-autonomous rogue waves in spin-1 coupled systems show complex behaviors.
- External potentials offer a means to manage rogue wave dynamics.
- Findings have implications for Bose-Einstein condensates, nonlinear fibers, and superfluids.
Related Concept Videos
01:23Atomic Nuclei: Nuclear Relaxation Processes
1.3K
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis.
1.3K
01:03Atomic Nuclei: Nuclear Spin State Overview
2.1K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
2.1K
01:29Potential Due to a Polarized Object
833
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
833
01:07Interference and Superposition of Waves
7.2K
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,...
7.2K
01:08NMR Spectroscopy: Spin–Spin Coupling
3.3K
The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
3.3K
01:25Poisson's And Laplace's Equation
4.4K
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.
4.4K