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- What is the definition of soliton? - Physics Stack Exchange
The definition of soliton may change from author to author They normally agree that a soliton must be a non-singular, localized and static and finite energy density solution to non-linear field equations A localized solution means that the fields approaches the vacuum sufficiently fast such that the energy density is localized in space
- Erik Lentzs faster-than-light soliton - Physics Stack Exchange
Lentz shows in the paper that the main step in the Santiago et al proof is the application of the divergence theorem But the conditions of the divergence theorem are not satisfied for the Lentz soliton (although they are for the other known Natario type cases), so in the end the proof does not hold for the Lentz soliton
- quantum field theory - Physics Stack Exchange
A soliton is a localized, non-dispersive solution of a nonlinear theory in Euclidean space It certainly is a real object: you have a famous story about a certain John Russell who observed soliton-like waves made by a boat on a river (wikipedia knows everything about it!)
- field theory - How is the velocity of a soliton defined? - Physics . . .
Asymptotic behaviour of soliton-antisoliton solution for the Sine Gordon equation 0 Periodic traveling waves of the form $\phi(x,t)=\psi_c(x-ct)$ for a $\phi^4$ model
- bose einstein condensate - Link between integrability and soliton . . .
b) Soliton is a type of wave that does not disperse while propagating and localizes If you define like that, some non-integrable models can also host solitons, e g kinks in $\varphi^4$ field But a more rigorous definition is that the scattering between solitons is elastic, ruling out all the "solitons" in non-integrable models
- Why are some solitons formed from bosonic fields fermionic?
The soliton is only invariant under the "diagonal group" of the rotations and some internal isospin group Noether's theorem dictates that the right definition of the spin of the excitations is associated with whatever symmetry we have In this case we have the diagonal symmetry, so the new conserved angular momentum will be the diagonal one
- field theory - An instanton in $d$ dimensions is often a soliton in $d . . .
The title of this questions is a "folklore" I've heard from a lot of researchers, but I never understood why this is the case I know what an instanton and soliton is, respectively in the context they are originally defined (soliton from the KdV Toda and instanton from the Euclidean YM)
- M branes D branes are solitons? - Physics Stack Exchange
Whether we want to call the Taub-NUT solution a "soliton" I'll leave to the reader to decide Furthermore, the claim that a D-brane might constitute a "fundamental object" is likewise doubtful - it is an auxiliary object that exists for the fundamental strings to end on, and is not fundamental in original string theory, although nowadays many
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