Geodesic
Continual approach in the mean field theory of incommensurate magnetic states in the frustrated Heisenberg ferromagnet
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 1, pp. 55-59.

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The algorithm of approximate solution has been developed for the differential equation describing the anharmonical change of the spin orientation angle in the model of ferromagnet with the exchange competition between nearest and next nearest magnetic neighbors and the easy axis exchange anisotropy. The obvious dependence of the angle velocity from angle and initial condition has been derived by expanding the first integral of the equation in the Taylor series in vicinity of initial condition.
Keywords: incommensurate magnetic structures, soliton lattice, continual approach. 
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Sergey N. Martynov; Vasiliy I. Tugarinov; Aleksandr S. Martynov. Continual approach in the mean field theory of incommensurate magnetic states in the frustrated Heisenberg ferromagnet. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 1, pp. 55-59. http://geodesic.mathdoc.fr/item/JSFU_2017_10_1_a7/

[1] I. E. Dzyaloshinskii, “Theory of helical structures in antiferromagnets. 1. Nonmetals”, Sov. Phys. JETP, 19 (1964), 960

[2] Y. A. Izyumov, Neutron Diffraction in Long-Periodic Structures, Energoatomizdat, M., 1987 (in Russian)

[3] S. N. Martynov, “Flat and conical incommensurate magnetic structures in the two-subsystem partially frustrated heisenberg ferrimagnet”, JMMM, 398 (2016), 121 | DOI