Traveling magnetic wave motion in ferrites: Impact of inhomogeneous exchange effects

Tchokouansi, Hermann T.; Felenou, E. Tchomgo; Tchidjo, Robert Tamwo; Kuetche, Victor K.; Bouetou, Thomas B.

doi:10.1016/j.chaos.2019.01.032

Cited by 14 publications

(2 citation statements)

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“…In addition, Kuetche and coauthors [42,43] have proposed a generalized KMM system, that takes into account the inhomogeneous exchange along with the Gilbert-damping effect. Further contribution on such inhomogeneous exchange effects are needed to understand more deeply the behavior of the wave in magnetic insulators [44]. We believe that the results of this work would be worth underlying in the future investigations.…”

Section: Summary and Discussionmentioning

confidence: 80%

Rogue wave, interaction solutions to the KMM system

Jin

Lin

2020

Journal of Magnetism and Magnetic Materials

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In this paper, the consistent tanh expansion (CTE) method and the truncated Painlevé analysis are applied to the Kraenkel-Manna-Merle (KMM) system, which describes propagation of short wave in ferromagnets. Two series of analytic solutions of the original KMM system (free of damping effect) are obtained via the CTE method. The interaction solutions contain an arbitrary function, which provides a wide variety of choices to acquire new propagation structures. Particularly, the breather soliton, periodic oscillation soliton and multipole instanton are obtained. Furthermore, we obtain some exact solutions of the damped-KMM equation at the first time. On the other hand, a coupled equation containing quadri-linear form and trilinear form for the original KMM system is obtained by the truncated Painlevé analysis, and the rogue wave solution and interaction solutions between rogue wave and multi-soliton for the KMM system are discussed.

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Section: Summary and Discussionmentioning

confidence: 80%

Rogue wave, interaction solutions to the KMM system

Jin

Lin

2020

Journal of Magnetism and Magnetic Materials

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“…Among the classification of fractal patterns with respect to some dimensional arbitrary function g  [60-64], we discussed one kind of typical structure known as nonlocal fractal excitations as given by equation (4.31). With all the above, we depicted the variations of the magnetization perturbation magnitude within the (ξ 1 , ξ 2 )-spacetime where we regarded three magnification features, namely Throughout the above study, we paid particular attention to the kinds of waveguide excitations which would be supported but the typical ferrite where the inhomogeneous exchange is of particular importance [65][66][67]. We unearthed some classes of localized excitations though there would exist more than the ones we derived in this work, thanks to the arbitrariness of some dependent functions introduced by the P-analysis.…”

Section: Discussionmentioning

confidence: 99%

Polarized waveguide excitations in microwave ferrites: The singularity structure analysis

Kamdem¹,

Lemoula²,

Kuetche³

et al. 2021

Phys. Scr.

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In this work, we delve into the structure of some typical microwave ferrites while investigating the propagation of nonlinear circularly polarized waveguide excitations. In the standpoint, we consider a ferromagnetic slab insulator of 0.5 mm thickness submitted to an external transverse magnetic field.Combining the Landau-Lifshitz-Gilbert formalism of evolution of the magnetization to Maxwell equations, we survey the interaction process of an electromagnetic wave perturbation with the slab. As a result, using the perturbative scaling approach suitable to high-frequency excitations, we derive some new evolution system describing the propagation of circularly polarized waves in the medium. Pursuing further with the analysis, we unwrap the integrability properties of the new system using the singularity structure method where sufficient arbitrary functions are generated. Taking advantage of such properties, we construct a rich variety of nonlinear excitations, solutions to the ferrite dynamics. Additionally, we address some physical implications of the results obtained previously.

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