Geodesic
Nonlinear dynamics and solitons in spin glasses
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 2, pp. 163-174 
Yu. A. Beletskii; B. A. Ivanov; A. L. Sukstanskii. Nonlinear dynamics and solitons in spin glasses. Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 2, pp. 163-174. http://geodesic.mathdoc.fr/item/TMF_1990_83_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The properties of soliton solutions in a macroscopic model of a spin glass are investigated. A topological classification of the solitons is made. A study is made of the transformation properties and of the stability of two-parameter solitons to which there corresponds a localized precession of the spins with frequency $\omega$ in a frame of reference moving with the soliton with velocity ${\mathbf v}$. The parameters $\omega$ and ${\mathbf v}$ are related naturally to integrals of the motion of the solitons, namely, the number of magnons $N$ and the momentum $\mathbf P$. The stability of one-dimensional dynamical and topological solitons, and also three-dimensional solitons is studied on the basis of the theorems of Lyapunov and Chetaev.

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