Ref HAL: hal-00378578_v1
PMID 17930831
DOI: 10.1103/PhysRevLett.99.064102
WoS: 000248664700026
Exporter : BibTex | endNote
26 Citations
Résumé:

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.

Commentaires: See Also Erratum: Single-Oscillation Two-Dimensional Solitons of Magnetic Polaritons [Phys. Rev. Lett. 99, 064102 (2007)] H. Leblond and M. Manna Phys. Rev. Lett. 100, 099902 (E) (2008)

Ref HAL: hal-00337400_v1
DOI: 10.1098/rspa.2008.0217
WoS: 000261150500007
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Résumé:

The existence of an oscillatory instability in the Bénard?Marangoni phenomenon for a viscoelastic Maxwell's fluid is explored. We consider a fluid that is bounded above by a free deformable surface and below by an impermeable bottom. The fluid is subject to a temperature gradient, inducing instabilities. We show that due to balance between viscous dissipation and energy injection from thermal gradients, a long-wave oscillatory instability develops. In the weak nonlinear regime, it is governed by the Korteweg?de Vries equation. Stable nonlinear structures such as solitons are thus predicted. The specific influence of viscoelasticity on the dynamics is discussed and shown to affect the amplitude of the soliton, pointing out the possible existence of depression waves in this case. Experimental feasibility is examined leading to the conclusion that for realistic fluids, depression waves should be more easily seen in the Bénard?Marangoni system.

Ref HAL: hal-00287622_v1
DOI: 10.1103/PhysRevB.77.224416
WoS: 000257289300058
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12 Citations
Résumé:

Line solitons of magnetic polaritons can propagate in a ferromagnetic slab. For certain values of the soliton velocity, they are unstable, and decay into stable two-dimensional solitary waves called lumps. The latter is investigated both numerically and by means of a variational approach.

Commentaires: 8 pages

Ref HAL: hal-00287088_v1
DOI: 10.1088/1751-8113/41/18/185201
WoS: 000255659900008
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17 Citations
Résumé:

The equations governing the propagation of polariton short solitary waves in a ferromagnetic slab are derived by means of a multiscale scheme. The effect of damping on the line solitons is discussed. A background instability occurs. Analysis shows that it can be suppressed by narrowing the slab in which the wave propagates.

Commentaires: 12 pp.

Ref HAL: hal-00266216_v1
DOI: 10.1098/rspa.2007.1861
WoS: 000247906600006
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18 Citations
Résumé:

The dynamics of a nonlinear and dispersive long surface capillary-gravity wave model equation is studied analytically in its short-wave limit. We exhibit its Lax pair and some non-trivial conserved quantities. Through a change of functions an unexpected connection between this classical surface water wave model and the sine-Gordon (or sinh-Gordon) equation is established. Numerical and analytical studies show that in spite of integrability their solutions can develop singularities and multivaluedness in finite time. These features can be traced to the fact that the surface tension term in the energy involves second-order derivatives. It would be interesting to see in an experiment whether such singularities actually appear, for which surface tension would be specifically responsible.

Ref HAL: in2p3-00149190_v1
DOI: 10.1103/PhysRevB.74.094414
WoS: 000240871700041
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6 Citations
Résumé:

A yttrium-iron-garnet magnetic thin film, driven by means of two antennas, produces a standing wave in-plane magnetization. When the driving frequency is chosen close to the upper edge of the passing band, it is shown by rigorous asymptotic multiscale analysis that the governing model for the generated backward volume waves is the defocusing nonlinear Schrödinger equation. Although being driven inside the allowed band, the nonlinear response of the system is discovered to allow for the formation of bistable magnetization profiles for a film width comparable with the wavelength of the driving radiation.

Ref HAL: hal-00326955_v1
DOI: 10.1103/PhysRevB.75.214413
WoS: 000247624700065
Exporter : BibTex | endNote
7 Citations
Résumé:

We study the nonlinear evolution of bulk spin waves in a charge free, isotropic ferromagnetic nanowire with negligible surface anisotropy, restricted to the modes with no azimuthal dependence. Using a multiple scale analysis we find that the magnetization oscillations are always restricted to one particular plane for the Fourier component $p=1$ while the Fourier component $p=2$ comes out of the plane. Moreover the magnetization excitations are governed by the cubic nonlinea Schrodinger equation. We also find that the ferromagnetic nanowire facilitates the propagation of dark solitons with the stable continuous wave.