In mathematics and physics, a soliton is a nonlinear, self-reinforcing, localized wave packet that is strongly stable, in that it preserves its shape...

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...

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...

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)...

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}...

a vector soliton is a solitary wave with multiple components coupled together that maintains its shape during propagation. Ordinary solitons maintain...

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...

In mathematics and physics, solitons, topological solitons and topological defects are three closely related ideas, all of which signify structures in...

The Peregrine soliton (or Peregrine breather) is an analytic solution of the nonlinear Schrödinger equation. This solution was proposed in 1983 by Howell...

A soliton distribution is a type of discrete probability distribution that arises in the theory of erasure correcting codes, which use information redundancy...

In quantum biology, the Davydov soliton (after the Soviet Ukrainian physicist Alexander Davydov) is a quasiparticle representing an excitation propagating...

integrable PDE, such as a large number of explicit solutions, in particular soliton solutions, and an infinite number of conserved quantities, despite the...

focusing regions of the ionosphere; the propagation of Davydov's alpha-helix solitons, which are responsible for energy transport along molecular chains; and...

Soliton Incorporated is a Canadian company formed in 1993 to continue supporting and developing the programming language Sharp APL, and related products...

graphene-dielectric heterostructure may appear as in the form of higher order solitons or discrete solitons resulting from the competition between diffraction and nonlinearity...

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...

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...

Dissipative solitons (DSs) are stable solitary localized structures that arise in nonlinear spatially extended dissipative systems due to mechanisms of...

(1997). Solitons, non-linear pulses and beams. Springer. ISBN 978-0-412-75450-0. Miroshnichenko A, Vasiliev A, Dmitriev S. Solitons and Soliton Collisions...

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...

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...

Morlet and Dark soliton or Darklet wavelets are derived from hyperbolic (sech) (bright soliton) and hyperbolic tangent (tanh) (dark soliton) pulses. These...

Among other causes, studies of nonlinear waves such as the Peregrine soliton, and waves modeled by the nonlinear Schrödinger equation (NLS), suggest...

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...

given as follows: Static 1-soliton: pseudosphere Moving 1-soliton: Dini's surface Breather solution: Breather surface 2-soliton: Kuen surface Hilbert's theorem...

is a holomorphic vector field, one has a gradient Kähler-Ricci soliton. Ricci solitons are sometimes considered as generalizations of Einstein metrics...

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...

of a vector soliton in fiber lasers", Optics Express, 16,12618–12623 (2008). Zhang H.; et al. (2009). "Multi-wavelength dissipative soliton operation of...

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...

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...