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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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    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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