Definition & Meaning | English word SOLITONS

---

Definitions of SOLITONS

1. plural of soliton.

---

---

---

---

---

---

---

Examples of Using SOLITONS in a Sentence

• It can be shown that any sufficiently fast decaying smooth solution will eventually split into a finite superposition of solitons travelling to the right plus a decaying dispersive part travelling to the left.
• Solitons won't decay, dissipate, disperse or evaporate in the way that ordinary waves (or solutions or structures) might.
• The dunes emulate soliton behavior, but unlike solitons, which flow through a medium leaving it undisturbed (similar to waves passing through water), the sand particles themselves are moved.
• Conjugate harmonic functions (and the transform between them) are also one of the simplest examples of a Bäcklund transform (two PDEs and a transform relating their solutions), in this case linear; more complex transforms are of interest in solitons and integrable systems.
• Drinfeld introduced the notion of a quantum group (independently discovered by Michio Jimbo at the same time) and made important contributions to mathematical physics, including the ADHM construction of instantons, algebraic formalism of the quantum inverse scattering method, and the Drinfeld–Sokolov reduction in the theory of solitons.
• Whereas solitons occur as travelling waves in a fluid or as electromagnetic waves in a waveguide, oscillons may be stationary.
• The equation models many nonlinearity effects in a fiber, including but not limited to self-phase modulation, four-wave mixing, second-harmonic generation, stimulated Raman scattering, optical solitons,.
• Current FDTD modeling applications range from near-DC (ultralow-frequency geophysics involving the entire Earth-ionosphere waveguide) through microwaves (radar signature technology, antennas, wireless communications devices, digital interconnects, biomedical imaging/treatment) to visible light (photonic crystals, nanoplasmonics, solitons, and biophotonics).
• Images from the Moderate-Resolution Imaging Spectroradiometer (MODIS) and International Space Station (ISS) photography show the sea-surface manifestation of packets of internal solitons (or nonlinear internal waves) generated at Banco Engaño, located at the northwest margin of the Mona Passage.
• The modern theory of integrable systems was revived with the numerical discovery of solitons by Martin Kruskal and Norman Zabusky in 1965, which led to the inverse scattering transform method in 1967.
• Goldstone published research on solitons in quantum field theory with Roman Jackiw and Frank Wilczek, and on the quantum strong law of large numbers with Edward Farhi and Samuel Gutmann.
• Among other important achievements, special mention should be made of the detection of solitons and shapes in incommensurable crystals by nuclear magnetic resonance and the introduction of NMR methods to determine the Edwards-Anderson parameter of the glassy order in proton and deuteron glasses and relaxors.
• Current FDTD modeling applications range from near-DC (ultralow-frequency geophysics involving the entire Earth-ionosphere waveguide) through microwaves (radar signature technology, antennas, wireless communications devices, digital interconnects, biomedical imaging/treatment) to visible light (photonic crystals, nanoplasmonics, solitons, microscopy and lithography, and biophotonics).
• In 1996, Cao studied gradient Kähler-Ricci solitons under the ansatz of rotational symmetry, so that the Ricci soliton equation reduces to ODE analysis.
• If the bifurcation is subcritical, often localized structures (dissipative solitons) can be observed in the hysteretic region where the pattern coexists with the ground state.
• The field was then revisited in experiments at Limoges University in liquid carbon disulphide and expanded in the early '90s with the first observation of solitons in photorefractive crystals, glass, semiconductors and polymers.
• Allan Dawson Boardman was a British physicist, known for his work on surface plasmons and guided wave optics, especially nonlinear waves, solitons, magneto-optics and negative refracting metamaterials.
• Bullough (21 November 1929 – 30 August 2008) was a British mathematical physicist known for his contributions to the theory of solitons, in particular for his role in the development of the theory of the optical soliton, now commonly used, for example, in the theory of trans-oceanic optical fibre communication theory, but first recognised in Bullough's work on ultra-short (nano- and femto-second) optical pulses.
• Dissipative solitons (DSs) are stable solitary localized structures that arise in nonlinear spatially extended dissipative systems due to mechanisms of self-organization.
• His major publications deal with fundamental properties of string theories, and include the conformal invariance of supersymmetric two-dimensional field theories which describe the world-sheet dynamics of strings, the study of supersymmetric solitons using index theorems, the discovery of a new duality between string theory and M-theory, the identification of string networks as supersymmetric states and the discovery of a novel Higgs mechanism in the worldvolume theory of M-theory membranes.

Page preparation took: 235.47 ms.