soliton

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soliton

A soliton wave travels across the water's surface.

Definition

Noun: 1. A self-reinforcing solitary wave: In physics, a soliton is a special type of wave packet or pulse that maintains its shape and speed while traveling over long distances. It arises in nonlinear systems and behaves much like a stable particle. 2. A quantum or quasiparticle: It is conceptualized as a localized, particle-like excitation of energy that propagates as a coherent, non-dispersive wave through a medium.

Examples
  • The soliton observed in the optical fiber demonstrated remarkable stability over hundreds of kilometers.
  • Scientists study the soliton to understand wave phenomena that do not dissipate energy in the usual way.
  • The formation of a soliton in the water channel was a clear example of nonlinear dynamics.
Advanced Usage
  • Soliton solution: Refers to the specific mathematical solution to a nonlinear partial differential equation (like the Korteweg–de Vries equation) that describes the soliton's behavior.
    • Finding the soliton solution was key to modeling the wave's propagation.
  • Soliton propagation: Describes the act of a soliton moving through a medium.
    • The experiment focused on soliton propagation in plasmas.
Variants and Related Words
  • Solitonic (adjective): Pertaining to or having the properties of a soliton.
    • The system exhibited solitonic behavior.
  • Soliton wave: A synonymous term often used to emphasize its wave nature.
    • The soliton wave traveled without changing form.
Key Characteristics (Explanatory Notes)

A soliton is defined by several critical features that distinguish it from ordinary waves: 1. Nonlinearity: It exists due to nonlinear effects in the medium, which balance dispersive effects. 2. Non-dispersive: It does not spread out or lose its shape over time and distance. 3. Stability: It is stable against collisions and perturbations; two solitons can pass through each other and emerge unchanged. 4. Particle-like: It retains its identity like a particle, leading to its description as a quasiparticle.

Synonyms
  • Solitary wave
  • Soliton wave
  • (In specific contexts) Particle-like wave, coherent structure.
Related Concepts
  • Nonlinear system: A system where the output is not directly proportional to the input, essential for soliton formation.
  • Dispersion: The tendency of waves to spread out, which is counteracted by nonlinearity in a soliton.
  • Quasiparticle: A concept in physics where a collective excitation behaves as if it were a particle.
soliton

A soliton wave travels across the water's surface.

Noun
  1. (physics) a quantum of energy or quasiparticle that can be propagated as a traveling wave in nonlinear systems and is neither preceded nor followed by another such disturbance; does not obey the superposition principle and does not dissipate
    • soliton waves can travel long distances with little loss of energy or structure

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