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nlin.SI2007
On canonical variables in integrable models of magnets
E. Sh. Gutshabash
Three integrable models - the deformed Heisenberg, Landau - Lifschits and Ishimori magnets are written in terms of the stereographic projection. The Hamiltonians of these models ar…
nlin.SI2001★ 1 cited
Spiral-Logarithmic Structure in a Heisenberg Ferromagnet
E. Sh. Gutshabash
Spiral-logarithmic structure is suggested as a stationary solution of a modified equation for the Heisenberg model, and the single- and N-soliton solutions are constructed on this…
nlin.SI2000
Darboux Transformation and Exact Solutions in the model of Cylindrically Symmetrical Chiral Field
E. Sh. Gutshabash
The application of the Darboux Transformation method to the integrable model of Cylindrically Symmetrical Chiral field has been considered. The associated linear system of matrix e…