Parametrically forced sine-Gordon equation and domain walls dynamics in ferromagnets

Details Parametrically forced sine-Gordon equation and domain walls dynamics in ferromagnets Parametrically forced sine-Gordon equation and domain walls dynamics in ferromagnets

1998-09-20

arxiv.org/abs/patt-sol/9809008v1

Physical Review B, V. 57, No. 9, 5033 (1998)

Nonlinear Sciences

Pattern Formation and Solitons

3 pages, 1 figure, revtex

Scientific paper

10.1103/PhysRevB.57.5033

A parametrically forced sine-Gordon equation with a fast periodic {\em mean-zero} forcing is considered. It is shown that $\pi$-kinks represent a class of solitary-wave solutions of the equation. This result is applied to quasi-one-dimensional ferromagnets with an easy plane anisotropy, in a rapidly oscillating magnetic field. In this case the $\pi$-kink solution we have introduced corresponds to the uniform ``true'' domain wall motion, since the magnetization directions on opposite sides of the wall are anti-parallel. In contrast to previous work, no additional anisotropy is required to obtain a true domain wall. Numerical simulations showed good qualitative agreement with the theory.

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