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Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations

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  • Ma, Yu-Lan
  • Li, Bang-Qing

Abstract

In this article, we reinvestigate the Kraenkel-Manna-Merle (KMM) system, which can describe the nonlinear ultra-short wave pulse motions in certain saturated ferromagnetic materials. Starting from the Lax pair of the system, we construct the Darboux transformation of this system. Then, new one-, two- and three-soliton solutions are obtained where free functions with respect to the time variable is involved. A series of novel loop-like soliton structures are excited by choosing the free functions as certain particular functions. The soliton excitation dynamics is also discussed in detailed.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003897
    DOI: 10.1016/j.chaos.2022.112179
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    1. Tchokouansi, Hermann T. & Kuetche, Victor K. & Kofane, Timoleon C., 2016. "On the propagation of solitons in ferrites: The inverse scattering approach," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 64-74.
    2. Ma, Yu-Lan & Wazwaz, Abdul-Majid & Li, Bang-Qing, 2021. "A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 505-519.
    3. Gao, Xin-Yi & Guo, Yong-Jiang & Shan, Wen-Rui, 2021. "Symbolic computation on a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system for the water waves," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    4. Li, Bang-Qing & Ma, Yu-Lan, 2022. "Interaction properties between rogue wave and breathers to the manakov system arising from stationary self-focusing electromagnetic systems," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    5. Chen, Su-Su & Tian, Bo & Liu, Lei & Yuan, Yu-Qiang & Zhang, Chen-Rong, 2019. "Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 337-346.
    6. Tarik Yefsah & Ariel T. Sommer & Mark J. H. Ku & Lawrence W. Cheuk & Wenjie Ji & Waseem S. Bakr & Martin W. Zwierlein, 2013. "Heavy solitons in a fermionic superfluid," Nature, Nature, vol. 499(7459), pages 426-430, July.
    7. 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.
    8. Boqiang Shen & Lin Chang & Junqiu Liu & Heming Wang & Qi-Fan Yang & Chao Xiang & Rui Ning Wang & Jijun He & Tianyi Liu & Weiqiang Xie & Joel Guo & David Kinghorn & Lue Wu & Qing-Xin Ji & Tobias J. Kip, 2020. "Integrated turnkey soliton microcombs," Nature, Nature, vol. 582(7812), pages 365-369, June.
    9. Kevin E. Strecker & Guthrie B. Partridge & Andrew G. Truscott & Randall G. Hulet, 2002. "Formation and propagation of matter-wave soliton trains," Nature, Nature, vol. 417(6885), pages 150-153, May.
    10. Yang, Dan-Yu & Tian, Bo & Qu, Qi-Xing & Zhang, Chen-Rong & Chen, Su-Su & Wei, Cheng-Cheng, 2021. "Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
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    Cited by:

    1. Amira F. Daghistani & Ahmed M. T. Abd El-Bar & Ahmed M. Gemeay & Mahmoud A. E. Abdelrahman & Samia Z. Hassan, 2023. "A Hyperbolic Secant-Squared Distribution via the Nonlinear Evolution Equation and Its Application," Mathematics, MDPI, vol. 11(20), pages 1-17, October.
    2. Liu, Yaqing & Peng, Linyu, 2023. "Some novel physical structures of a (2+1)-dimensional variable-coefficient Korteweg–de Vries system," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    3. Mahmoud A. E. Abdelrahman & Emad K. El-Shewy & Y. Omar & N. F. Abdo, 2023. "Modulations of Collapsing Stochastic Modified NLSE Structures," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
    4. Ma, Yu-Lan & Li, Bang-Qing, 2024. "Higher-order hybrid rogue wave and breather interaction dynamics for the AB system in two-layer fluids," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 489-502.
    5. Cui, Xiao-Qi & Wen, Xiao-Yong & Li, Zai-Dong, 2024. "Magnetization reversal phenomenon of higher-order lump and mixed interaction structures on periodic background in the (2+1)-dimensional Heisenberg ferromagnet spin equation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    6. Suganya, S. & Srividya, B. & Prabhu, A., 2024. "Existence of localized modes in a frustrated ferromagnetic spin chain with added biquadratic interaction," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    7. Ustinov, N.V., 2024. "New type of rogue waves," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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