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Loop-like periodic waves and solitons to the Kraenkel–Manna–Merle system in ferrites

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  • Bang-Qing Li
  • Yu-Lan Ma

Abstract

The Kraenkel–Manna–Merle system is investigated, which describes the propagations of the ferromagnetic particles in ferrite materials. A new series of the solutions are obtained via the auxiliary equation method. These solutions include periodic traveling wave solutions in Jacobi elliptic functions and soliton solutions in hyperbolic functions. Some of them are demonstrated in visualization. There exist loop-like periodic waves and loop-like solitons between independent variables related to the magnetization and the external magnetic fields vs. the time and space variables. The parameter influences on the periodic wave solutions are also discussed.

Suggested Citation

  • Bang-Qing Li & Yu-Lan Ma, 2018. "Loop-like periodic waves and solitons to the Kraenkel–Manna–Merle system in ferrites," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 32(10), pages 1275-1286, July.
    • Handle: RePEc:taf:tewaxx:v:32:y:2018:i:10:p:1275-1286
    DOI: 10.1080/09205071.2018.1431156
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    Cited by:

    1. Iqbal, Muhammad S. & Seadawy, Aly R. & Baber, Muhammad Z. & Qasim, Muhammad, 2022. "Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Ma, Yu-Lan & Li, Bang-Qing, 2022. "Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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