Dynamics of damped single valued magnetic wave in inhomogeneous circularly polarized ferrites

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

doi:10.1016/j.cjph.2022.04.011

Cited by 5 publications

(9 citation statements)

References 28 publications

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“…In this paper, as for the ultra-short waves in a ferrite, we have investigated a complex Kraenkel-Manna-Merle system, i.e., System (1). With Lax Pair (2), we have proofed Propositions 1 and 2, and then provided N -Fold DT (18) of System (1). Based on N -Fold DT (18), we have presented Generalized (1, N − 1)-Fold DT (24) of System (1), which admits one spectral parameter, and Generalized (m, N − m)-Fold DT (28) of System (1), which admits m spectral parameters.…”

Section: Discussionmentioning

confidence: 99%

“…With Lax Pair (2), we have proofed Propositions 1 and 2, and then provided N -Fold DT (18) of System (1). Based on N -Fold DT (18), we have presented Generalized (1, N − 1)-Fold DT (24) of System (1), which admits one spectral parameter, and Generalized (m, N − m)-Fold DT (28) of System (1), which admits m spectral parameters. By virtue of N -Fold DT (18), we have derived One-Soliton Solutions (31), Two-Soliton Solutions (32) and Three-Soliton Solutions (33) of System (1).…”

Section: Discussionmentioning

confidence: 99%

“…For the ultra-short waves in a ferrite, Refs. [17][18][19][20] have studied the complex Kraenkel-Manna-Merle system that reads…”

Section: Introductionmentioning

confidence: 99%

“…Inverse scattering transform and N -soliton solutions of System (1) have been worked out [17]. Influence of damping and inhomogeneous exchange effects of System (1) has been studied [18]. Painlevé integrability, Bäcklund transformation, bilinear form and one-soliton solutions of System (1) have been presented [19,20].…”

Section: Introductionmentioning

confidence: 99%

“…However, to our knowledge, N -fold and generalized Darboux transformations (DTs) of System (1), as well as some soliton solutions different from those in Refs. [17][18][19][20] have not been reported, where N is a positive integer. In Sect.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformations and solitons

Shen

Tian

Zhou

et al. 2023

Preprint

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Ferromagnetic materials such as the ferrites are used in the electronic and energy industries. Here, we concentrate on a complex Kraenkel-Manna-Merle system for the ultra-short waves in a ferrite. An N-fold Darboux transformation of that system is presented via an existing Lax pair, where N is a positive integer. A generalized (1, N − 1)- fold Darboux transformation, which admits one spectral parameter, and a generalized (m, N − m)-fold Darboux transformation, which admits m spectral parameters, are proposed based on that N-fold Darboux transformation, where m is a positive integer. One-, two- and three-soliton solutions of that system are determined via that N-fold Darboux transformation. Double-pole and triple-pole soliton solutions of that system are derived via that (1, N − 1)-fold Darboux transformation. Those solitons are graph- ically represented for the magnetization and external magnetic field related to a ferrite.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

“…For the ultra-short waves in a ferrite, Refs. [17][18][19][20] have studied the complex Kraenkel-Manna-Merle system that reads…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformations and solitons

Shen

Tian

Zhou

et al. 2023

Preprint

View full text Add to dashboard Cite

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Comprehensive soliton solutions of fractional stochastic Kraenkel–Manna–Merle equations in ferromagnetic materials

Islam,

Rahman,

Inc

et al. 2024

Opt Quant Electron

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The inner characteristics of numerous nonlinear phenomena that arise in real-life problems are stated through nonlinear partial differential equations. This exploration is conducted with fractional stochastic Kraenkel–Manna–Merle model in ferromagnetic materials and achieved ample soliton solutions by adapting enhanced rational $$({G}^{\prime}/G)$$ ( G ′ / G ) -expansion and improved tanh schemes. Ferromagnetic materials play a vital role in telecommunications applications, data storage, and manipulation. A new wave variable in the sense of confirmable fractional derivative is utilized to convert the governing model into the ordinary system. The motions of ultra-short-wave pulses in ferrite’s materials are analyzed by showing the effects of fractional derivatives and noise terms on the Brownian motion through multiple diverse 3D, 2D and contour plots. Periodic, singular periodic, kink, anti-kink etc. are visualized under the different parameter’s values involved in the obtained solitary wave solutions. The outcomes made available in the current study might play vital role to depict relevant intricate nonlinear phenomena and inspire the researchers to consider the utilized techniques in further studies.

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Nonlinear dynamics of short light pulse in birefringent optical fiber

Tchokouansi

Tchidjo

Kuetche

2023

Optik

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Dynamics of damped single valued magnetic wave in inhomogeneous circularly polarized ferrites

Cited by 5 publications

References 28 publications

Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformations and solitons

Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformations and solitons

Comprehensive soliton solutions of fractional stochastic Kraenkel–Manna–Merle equations in ferromagnetic materials

Nonlinear dynamics of short light pulse in birefringent optical fiber

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