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Interaction properties between rogue wave and breathers to the manakov system arising from stationary self-focusing electromagnetic systems

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  • Li, Bang-Qing
  • Ma, Yu-Lan

Abstract

Multi-wave interaction is an important research field in nonlinear science. In this work, we investigate the multiple wave interaction properties to the Manakov system which can model the vector wave motions in stationary self-focusing electromagnetic systems with dual layers. Via the Darboux transformation method, we first obtain hybrid solutions containing rogue wave and breathers for the system. Furthermore, the evolutionary processes and interaction properties of the hybrid solutions are studied in details. The phase, amplitude, and propagating direction of the hybrid rogue wave and breathers may change during the interactions. These new results will lead to a greater understanding of this system.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000431
    DOI: 10.1016/j.chaos.2022.111832
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    References listed on IDEAS

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    1. Djoufack, Z.I. & Kenmogne, Fabien & Nguenang, J.P. & Kenfack-Jiotsa, A., 2021. "Dynamics of solitons with periodic loops intrinsic localized modes and modulational instability in a quantum 2D nonlinear square Klein-Gordon chain," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Ma, Yu-Lan & Li, Bang-Qing, 2018. "The wrinkle-like N-solitons for the thermophoretic motion equation through graphene sheets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 169-174.
    3. Li, Bang-Qing & Ma, Yu-Lan, 2020. "Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    4. 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.
    5. Houwe, Alphonse & Abbagari, Souleymanou & Doka, Serge Yamigno & Inc, Mustafa & Bouetou, Thomas B., 2021. "Clout of fractional time order and magnetic coupling coefficients on the soliton and modulation instability gain in the Heisenberg ferromagnetic spin chain," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
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    Cited by:

    1. Qi, Linming & Liu, Lu & Zhao, Weiliang, 2024. "Mixed localized waves in the coupled nonlinear Schrödinger equation with higher-order effects," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    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. 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).
    4. 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).
    5. Ustinov, N.V., 2024. "New type of rogue waves," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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