Related Experiment Video
Updated: May 15, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Nonlocal dark solitons under competing cubic-quintic nonlinearities
Optics Letters
|January 4, 2013
Summary
We studied dark solitons in competing nonlinear systems. A unique dark soliton solution was found, with its width unaffected by nonlocality due to competing cubic-quintic effects.
Area of Science:
- Nonlinear optics
- Soliton physics
- Mathematical physics
Background:
- Dark solitons are fundamental nonlinear wave solutions.
- Competing nonlinearities (cubic-local and quintic) present complex wave dynamics.
- Understanding soliton behavior under such conditions is crucial for optical systems.
Purpose of the Study:
- To investigate the properties of dark solitons.
- To analyze their behavior under competing nonlocal cubic-local quintic nonlinearities.
- To determine the impact of nonlocality on dark soliton solutions.
Main Methods:
- Employing a variational approach for analytical derivations.
- Confirming analytical findings through direct numerical simulations.
- Analyzing the influence of competing nonlinear terms on soliton parameters.
Main Results:
- Existence of a unique dark soliton solution confirmed.
- The width of the dark soliton is independent of the degree of nonlocality.
- Competing cubic-quintic nonlinearities dictate the unique soliton properties.
Conclusions:
- The study reveals a unique dark soliton solution in a specific nonlinear system.
- Soliton width is robust against variations in nonlocality under these competing nonlinearities.
- This finding has implications for the design and stability of optical systems employing such nonlinearities.
More Related Videos
Related Concept Videos
02:18Network Covalent Solids
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
02:12Solvating Effects
An understanding of the solvating effect helps rationalize the relation between solvation and acidity of the compound. In addition, this also explains the relative stability of conjugate bases for compounds with different pKa values. This lesson details, in-depth, the principle of solvating effects. The strength of an acid and the stability of its corresponding conjugate base are determined using pKa values. This observed relationship is a consequence of solvation, which is the interaction...
01:17Differential Form of Maxwell's Equations
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 Faraday.
02:05Entropy and Solvation
The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ ≥ 15); an...
02:54Molecular and Ionic Solids
Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
01:25Poisson's And Laplace's Equation
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.