Influence of Dzialoshinskii–Moriya interaction on static and dynamic properties of a transverse domain wall

•Dzialoshinskii–Moriya interaction deforms the domain wall profile asymmetrically.•Extended model with 2 pairs of collective variables is proposed for a domain wall.•The Walker field is slightly changed due to the Dzialoshinskii–Moriya interaction.

It is shown that the Dzialoshinskii–Moriya interaction leads to asymmetrical deformation of the transverse domain wall profile in one-dimensional biaxial magnet. Amplitude of the deformation is linear with respect to the Dzialoshinskii constant D. Corrections caused by the Dzialoshinskii–Moriya interaction are obtained for the number of the domain wall parameters: energy density, Döring mass, and Walker field. The modified q  –ΦΦ model with an additional pair of conjugated collective variables is proposed for studying the dynamical properties of the wall with taking into account the internal degrees of freedom.