Single-Oscillation Two-Dimensional Solitons of Magnetic Polaritons

Abstract

The propagation of bulk polaritons in ferromagnetic slab is considered through a short-wavelength approximation. Neither the damping nor the demagnetizing field do affect essentially the propagation and stability of the line soliton. The stable line soliton may be destroyed by background instability: the latter is suppressed in a narrow strip. The unstable line soliton decays into lumps, which can be described both numerically and through a variational approach. Lump interactions are mentioned.

Models of few optical cycle solitons beyond the slowly varying envelope approximation

“…One notices that there exist in the published literature several generalizations to (2 + 1) dimensions of the generic sG equation. Such evolution equations can be derived in the short-wave approximation regime; some of them support localized solitons which are not oscillating as either the sG breathers or as the one-dimensional FCP solitons in Kerr media [219][220][221][222].…”

“…The question whether the (2 + 1)-dimensional generalization of sG equation, which is valid for FCP propagation in cubic nonlinear media, is one of the nonlinear dynamical systems discussed in Refs. [219][220][221][222] or some other one, can only be decided by means of a rigorous derivation starting from the basic equations. We will show below that we get a nonlinear system of equations which cannot be reduced to any of the equations obtained by using the same reductive perturbation method in the case of electromagnetic wave propagation in ferromagnetic media; see Refs.…”

“…We will show below that we get a nonlinear system of equations which cannot be reduced to any of the equations obtained by using the same reductive perturbation method in the case of electromagnetic wave propagation in ferromagnetic media; see Refs. [219][220][221][222].…”

Fractal structure of ferromagnets: The singularity structure analysis

“…The theoretical investigations are made around two main considerations: the longwave and the modulational asymptotic models. [10][11][12][13][14][15] The latter are wave envelope soliton equations which represent nonlinear modulation of a wave train under the main assumption that the wave number of the wave envelope a) Electronic mail: vkuetche@yahoo.fr. b) Electronic mail: tbouetou@yahoo.fr.…”

Electromagnetic line solitons in ferromagnets: suppression of a background instability

“…The long-wave approximation allowed us to describe the propagation of solitary waves, and of KdV (Korteweg-de Vries) solitons [9][10][11]. More recently short waves have been considered [12][13][14]. The latter structures have sizes much more relevant to available experiments than the former ones.…”