Topological solitons in magnetohydrodynamics
نویسنده
چکیده
Solutions of physical equations which have non-trivial topological properties have been studied for already more than five years. As examples we may give the "monopole""2 and the ' ' in~tanton'~ in gauge field theories and the "pseudoparticle" in a two-dimensional isotropic f e r r ~ m a g n e t . ~ All these solutions a re characterized by some topological index: the magnetic charge of the monopole and the number of pseudoparticles in the ferromagnet a re equal to the degree of mapping of a two-dimensional sphere onto a two-dimensional sphere, the number of instantons i s equal to the Pontryagin index of the mapping of the SU(2) group onto the threedimensional sphere. In each case one can write this index a s a volume integral of some "topological charge density". In this connection attention i s drawn to the integral of motion
منابع مشابه
Topological Soliton in Magnetohydrodynamics *
We use the Hopf mapping to construct a magnetic configuration consisting of closed field lines, each of which is linked with all the other ones. We obtain in this way a solution of the equations of magnetohydrodynamics of an ideal incompressible fluid with infinite conductivity, which describes a localized topological soliton.
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