Soliton

In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium. (The term "dispersive effects" refers to a property of certain systems where the speed of the waves varies according to frequency.) Solitons arise as the solutions of a widespread class of weakly nonlinear dispersive partial differential equations describing physical systems. The soliton phenomenon was first described by John Scott Russell (1808–1882) who observed a solitary wave in the Union Canal in Scotland. He reproduced the phenomenon in a wave tank and named it the "Wave of Translation".

Read more about SolitonDefinition, Explanation, History, Solitons in Fiber Optics, Solitons in Proteins and DNA, Solitons in Magnets, Bions

Other articles related to "soliton, solitons":

Soliton - Bions
... The bound state of two solitons is known as a bion, or in systems where the bound state periodically oscillates, a "breather." In field theory BIon usually refers to the solution of the Born–Infel ... Gibbons in order to distinguish this solution from the conventional soliton, understood as a regular, finite-energy (and usually stable) solution of a ... feature can be important, which motivated the introduction of a special name for this class of solitons ...
Soliton (optics) - Dark Solitons
... In the analysis of both types of solitons we have assumed particular conditions about the medium in spatial solitons, that means the self-phase modulation causes self-focusing in temporal solitons, or ... For higher order solitons we can use the following closed form expression It is a soliton, in the sense that it propagates without changing its shape, but it is not made by a normal pulse rather, it ... Those solitons can actually be generated introducing short dark pulses in much longer standard pulses ...
Soliton Distribution
... A soliton distribution is a type of discrete probability distribution that arises in the theory of erasure correcting codes ... A paper by Luby introduced two forms of such distributions, the ideal soliton distribution and the robust soliton distribution ...
Q-ball
... physics, Q-ball refers to a type 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 stability is guaranteed by a conserved charge the soliton has lower energy per unit charge than any other configuration ...
Soliton (optics) - Stability of Solitons
... We have described what optical solitons are and, using mathematics, we have seen that, if we want to create them, we have to create a field with a ... and solving them numerically, it is possible to show that mono-dimensional solitons are stable ... They are often referred as (1 + 1) D solitons, meaning that they are limited in one dimension (x or t, as we have seen) and propagate in another one (z) ...