• Thumbnail for Soliton
    In mathematics and physics, a soliton is a nonlinear, self-reinforcing, localized wave packet that is strongly stable, in that it preserves its shape...
    42 KB (4,541 words) - 20:35, 21 November 2023
  • A gravitational soliton is a soliton solution of the Einstein field equation. It can be separated into two kinds, a soliton of the vacuum Einstein field...
    703 bytes (69 words) - 06:21, 31 May 2023
  • Look up soliton in Wiktionary, the free dictionary. A soliton is a type of self-reinforcing solitary wave. Soliton may also refer to: Soliton (optics)...
    643 bytes (121 words) - 16:10, 21 October 2012
  • In optics, the term soliton is used to refer to any optical field that does not change during propagation because of a delicate balance between nonlinear...
    38 KB (6,313 words) - 03:44, 27 December 2023
  • Riemannian manifold ( M , g ) {\displaystyle (M,g)} is called a Ricci soliton if, and only if, there exists a smooth vector field V {\displaystyle V}...
    6 KB (854 words) - 20:27, 2 January 2024
  • a vector soliton is a solitary wave with multiple components coupled together that maintains its shape during propagation. Ordinary solitons maintain...
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  • equation attracted a lot of attention in the 1970s due to the presence of soliton solutions, and is an example of an integrable PDE. Among well-known integrable...
    33 KB (4,385 words) - 11:43, 26 March 2024
  • Thumbnail for Peregrine soliton
    The Peregrine soliton (or Peregrine breather) is an analytic solution of the nonlinear Schrödinger equation. This solution was proposed in 1983 by Howell...
    13 KB (1,662 words) - 10:54, 30 January 2024
  • Topological defects or solitons are irregularities or disruptions that occur within continuous fields or ordered states of matter. These defects, which...
    15 KB (1,769 words) - 01:22, 24 February 2024
  • A soliton distribution is a type of discrete probability distribution that arises in the theory of erasure correcting codes, which use information redundancy...
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  • Thumbnail for Soliton model in neuroscience
    The soliton hypothesis in neuroscience is a model that claims to explain how action potentials are initiated and conducted along axons based on a thermodynamic...
    30 KB (3,672 words) - 08:07, 7 December 2023
  • Thumbnail for Supercontinuum
    dispersive waves to be coupled with the solitons via the soliton trapping effect. This effect means that as the soliton self-frequency shifts to longer wavelengths...
    56 KB (6,941 words) - 22:35, 20 February 2024
  • Thumbnail for Davydov soliton
    In quantum biology, the Davydov soliton (after the Soviet Ukrainian physicist Alexander Davydov) is a quasiparticle representing an excitation propagating...
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  • Soliton Incorporated is a Canadian company formed in 1993 to continue supporting and developing the programming language Sharp APL, and related products...
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  • Thumbnail for Korteweg–De Vries equation
    Korteweg–De Vries equation (category Solitons)
    integrable PDE, such as a large number of explicit solutions, in particular soliton solutions, and an infinite number of conserved quantities, despite the...
    26 KB (3,114 words) - 13:41, 7 January 2024
  • Thumbnail for Nonlinear Schrödinger equation
    focusing regions of the ionosphere; the propagation of Davydov's alpha-helix solitons, which are responsible for energy transport along molecular chains; and...
    25 KB (3,177 words) - 23:15, 10 November 2023
  • Dissipative solitons (DSs) are stable solitary localized structures that arise in nonlinear spatially extended dissipative systems due to mechanisms of...
    40 KB (4,738 words) - 01:01, 15 December 2023
  • Q-ball (category Solitons)
    non-topological soliton. A soliton is a localized field configuration that is stable—it cannot spread out and dissipate. In the case of a non-topological soliton, the...
    12 KB (1,845 words) - 08:40, 27 September 2023
  • 2010. "Publisher's note". Chaos, Solitons & Fractals. 39: v–. 2009. doi:10.1016/S0960-0779(09)00060-5. Chaos, Solitons and Fractals. November 2011. Archived...
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  • Thumbnail for Plasmon
    graphene-dielectric heterostructure may appear as in the form of higher order solitons or discrete solitons resulting from the competition between diffraction and nonlinearity...
    27 KB (3,159 words) - 18:07, 23 March 2024
  • Morlet and Dark soliton or Darklet wavelets are derived from hyperbolic (sech) (bright soliton) and hyperbolic tangent (tanh) (dark soliton) pulses. These...
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  • translation, as observed by John Scott Russell in 1834, the prototype for a soliton. A soliton, a generalization of the wave of translation to general systems of...
    477 bytes (103 words) - 21:51, 11 December 2011
  • given as follows: Static 1-soliton: pseudosphere Moving 1-soliton: Dini's surface Breather solution: Breather surface 2-soliton: Kuen surface Hilbert's theorem...
    11 KB (1,113 words) - 09:22, 30 January 2024
  • Thumbnail for Rogue wave
    Among other causes, studies of nonlinear waves such as the Peregrine soliton, and waves modeled by the nonlinear Schrödinger equation (NLS), suggest...
    111 KB (12,303 words) - 19:06, 3 March 2024
  • is a holomorphic vector field, one has a gradient Kähler-Ricci soliton. Ricci solitons are sometimes considered as generalizations of Einstein metrics...
    13 KB (1,735 words) - 17:19, 11 March 2024
  • Thumbnail for Breather
    (1997). Solitons, non-linear pulses and beams. Springer. ISBN 978-0-412-75450-0. Miroshnichenko A, Vasiliev A, Dmitriev S. Solitons and Soliton Collisions...
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  • 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...
    28 KB (3,404 words) - 01:47, 20 March 2024
  • Thumbnail for Sergei Novikov (mathematician)
    and Russian mathematician, noted for work in both algebraic topology and soliton theory. In 1970, he won the Fields Medal. Novikov was born on 20 March...
    12 KB (1,141 words) - 03:26, 24 December 2023
  • of a vector soliton in fiber lasers", Optics Express, 16,12618–12623 (2008). Zhang H.; et al. (2009). "Multi-wavelength dissipative soliton operation of...
    24 KB (2,843 words) - 14:26, 2 November 2023
  • interaction is attractive or repulsive, there is either a bright or dark soliton. Both solitons are local disturbances in a condensate with a uniform background...
    29 KB (4,269 words) - 15:05, 22 October 2023