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

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)...

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...

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

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...

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

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

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}...

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

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...

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...

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...

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...

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

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...

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

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...

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

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...

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

the possibility to support exotic nonlinear optical phenomena such as soliton propagation. In a typical optical link, data is first transferred from...

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

solutions are called steady Ricci solitons. An example of a 3-dimensional steady Ricci soliton is the Bryant soliton, which is rotationally symmetric,...

In quantum field theory, a non-topological soliton (NTS) is a soliton field configuration possessing, contrary to a topological one, a conserved Noether...

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...

and Russian mathematician, noted for work in both algebraic topology and soliton theory. He became the first Soviet mathematician to receive the Fields...

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

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