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 |
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 |
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 |
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 |
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 |
a vector soliton is a solitary wave with multiple components coupled together that maintains its shape during propagation. Ordinary solitons maintain... 23 KB (3,052 words) - 00:26, 3 February 2024 |
Sine-Gordon equation (redirect from Sine-Gordon soliton) 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 |
Topological defect (redirect from Soliton (topology)) 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 |
Soliton Incorporated is a Canadian company formed in 1993 to continue supporting and developing the programming language Sharp APL, and related products... 3 KB (153 words) - 05:30, 11 June 2023 |
A soliton distribution is a type of discrete probability distribution that arises in the theory of erasure correcting codes, which use information redundancy... 2 KB (345 words) - 00:43, 28 August 2023 |
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 |
Supercontinuum (section Soliton fission regime) 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 |
Elsevier (redirect from Chaos, Solitons and Fractals) 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... 144 KB (12,337 words) - 12:20, 25 February 2024 |
Plasmon (section Plasmon-soliton) 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 |
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 |
Modified Morlet wavelet (redirect from Dark soliton) Morlet and Dark soliton or Darklet wavelets are derived from hyperbolic (sech) (bright soliton) and hyperbolic tangent (tanh) (dark soliton) pulses. These... 648 bytes (102 words) - 17:54, 19 July 2022 |
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 |
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 |
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 |
Fiber laser (section Dark solitons) 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 |
(1997). Solitons, non-linear pulses and beams. Springer. ISBN 978-0-412-75450-0. Miroshnichenko A, Vasiliev A, Dmitriev S. Solitons and Soliton Collisions... 6 KB (674 words) - 00:40, 4 June 2023 |
Huai-Dong Cao (section Gradient Ricci solitons) 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 |
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 |
Ricci flow (section Ricci solitons) solutions are called steady Ricci solitons. An example of a 3-dimensional steady Ricci soliton is the Bryant soliton, which is rotationally symmetric,... 52 KB (7,464 words) - 08:14, 15 March 2024 |
Skyrmion (section Topological soliton) the nucleon by (and named after) Tony Skyrme in 1961. As a topological soliton in the pion field, it has the remarkable property of being able to model... 25 KB (3,042 words) - 08:19, 4 January 2024 |