Continual approach in the mean field theory of incommensurate magnetic states in the frustrated Heisenberg ferromagnet

Sergey N. Martynov^a, Vasiliy I. Tugarinov^a, Aleksandr S. Martynov<sup>b

a</sup> Kirensky Institute of Physics, SB RAS, Akademgorodok, 50/38, Krasnoyarsk, 660036, Russia
^b Faculty of Physics, Moscow State University, Moscow, 119991, Russia

Abstract: 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.

UDC: 537.61

Received: 20.08.2016
Received in revised form: 10.10.2016
Accepted: 15.11.2016

Language: English

DOI: 10.17516/1997-1397-2017-10-1-55-59

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