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The wrinkle-like N-solitons for the thermophoretic motion equation through graphene sheets

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  • Ma, Yu-Lan
  • Li, Bang-Qing

Abstract

The main work is focused on the thermophoretic motion equation, which was derived from wrinkle wave motions in substrate-supported graphene sheets. Via the bilinear method, a class of wrinkle-like N-soliton solutions is constructed. The one-soliton, two-soliton and three-soliton are observed graphically. The shape, amplitude, open direction and width of the N-solitons are controllable through certain parameters.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:494:y:2018:i:c:p:169-174
    DOI: 10.1016/j.physa.2017.12.014
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    References listed on IDEAS

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    1. Jannik C. Meyer & A. K. Geim & M. I. Katsnelson & K. S. Novoselov & T. J. Booth & S. Roth, 2007. "The structure of suspended graphene sheets," Nature, Nature, vol. 446(7131), pages 60-63, March.
    2. Muhammed M. Benameur & Fernando Gargiulo & Sajedeh Manzeli & Gabriel Autès & Mahmut Tosun & Oleg V. Yazyev & Andras Kis, 2015. "Electromechanical oscillations in bilayer graphene," Nature Communications, Nature, vol. 6(1), pages 1-7, December.
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    Cited by:

    1. 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).
    2. Amjad, Zeeshan & Haider, Bushra, 2020. "Binary Darboux transformation of time-discrete generalized lattice Heisenberg magnet model," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

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