Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2004-03-26
Nonlinear Sciences
Pattern Formation and Solitons
8 pages, 18(eps) figures
Scientific paper
A parametrized spin model was recently introduced and intended for one-dimensional ferromagnets with a deformable Zeeman energy. This model is revisited and given more realistic interpretation in terms of a model for ferromagnetic systems with nonconvex anisotropies. A main virtue of the improved form is its exact reduction to the discrete Remoissenet-Peyrard model, i.e. a parametrized version of the Takeno-Homma's discrete sine-Gordon model. The spin-wave phase of the improved parametrized spin model is investigated assuming both harmonic and anharmonic excitations. Intrinsic-self-localized modes, regarded as zone-boundary breather spin waves, are pointed out by simulating the nonlinear difference equations describing the spin equilibrium positions in the chain, and are shown to exist irrespective of values of the model parameter. Domain-wall textures of the model are also numerically examined in terms of kink solitons and with regard to the parametrization.
Dikande Alain Moise
Nguenang Jean-Pierre
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