Explore Soliton through 10+ example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Soliton meaning
A solitary wave which retains its permanent structure after interacting with another soliton.
Synonyms of Soliton
Using Soliton
- The main meaning on this page is: A solitary wave which retains its permanent structure after interacting with another soliton.
- Useful related words include: soliton wave, solitary wave, traveling wave.
- In the example corpus, soliton often appears in combinations such as: of soliton, the soliton, soliton solutions.
Context around Soliton
- Average sentence length in these examples: 24.5 words
- Position in the sentence: 4 start, 5 middle, 4 end
- Sentence types: 13 statements, 0 questions, 0 exclamations
Corpus analysis for Soliton
- In this selection, "soliton" usually appears in the middle of the sentence. The average example has 24.5 words, and this corpus slice is mostly made up of statements.
- Around the word, demonstrated, see, accepted, solutions, theory and behavior stand out and add context to how "soliton" is used.
- Recognizable usage signals include bone and soliton s net and books on soliton theory. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "soliton" sits close to words such as aaronson, abai and abass, which helps place it inside the broader word index.
Example types with soliton
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
See soliton (optics) for a more detailed description. (8 words)
Definition A single, consensus definition of a soliton is difficult to find. (12 words)
Soliton stability is due to topological constraints, rather than integrability of the field equations. (14 words)
The Severn bore is not a self-reinforcing solitary wave or soliton but rather a shock wave which is formed because the wave is travelling faster than the wave speed in water above the Bore (see tidal bore for more details). (41 words)
In 1965 Norman Zabusky of Bell Labs and Martin Kruskal of Princeton University first demonstrated soliton behavior in media subject to the Korteweg–de Vries equation (KdV equation) in a computational investigation using a finite difference approach. (37 words)
The paper by Korteweg and de Vries in 1895 was not the first theoretical treatment of this subject but it was a very important milestone in the history of the development of soliton theory. (34 words)
Example sentences (13)
This table compares SI-Bone and Soliton’s net margins, return on equity and return on assets.
Definition A single, consensus definition of a soliton is difficult to find.
If the pulse has just the right shape, the Kerr effect will exactly cancel the dispersion effect, and the pulse's shape will not change over time: a soliton.
In 1965 Norman Zabusky of Bell Labs and Martin Kruskal of Princeton University first demonstrated soliton behavior in media subject to the Korteweg–de Vries equation (KdV equation) in a computational investigation using a finite difference approach.
In particular, the soliton solutions of can be shown to contain the Friedmann–Lemaître–Robertson–Walker metric in both radiation-dominated (early universe) and matter-dominated (later universe) forms.
Korteweg-de Vries equation The hyperbolic trig function appears as one solution to the Korteweg-de Vries equation which describes the motion of a soliton wave in a canal.
See soliton (optics) for a more detailed description.
Soliton stability is due to topological constraints, rather than integrability of the field equations.
The discovery is described here in Scott Russell's own words: This passage has been repeated in many papers and books on soliton theory.
The paper by Korteweg and de Vries in 1895 was not the first theoretical treatment of this subject but it was a very important milestone in the history of the development of soliton theory.
The recent and not widely accepted soliton model in neuroscience proposes to explain the signal conduction within neurons as pressure solitons.
The Severn bore is not a self-reinforcing solitary wave or soliton but rather a shock wave which is formed because the wave is travelling faster than the wave speed in water above the Bore (see tidal bore for more details).
The soliton solutions are typically obtained by means of the inverse scattering transform and owe their stability to the integrability of the field equations.
Common combinations with soliton
These word pairs occur most frequently in English texts:
- of soliton 3×
- the soliton 2×
- soliton solutions 2×
- soliton theory 2×