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Solitons and lump wave solutions to the graphene thermophoretic motion system with a variable heat transmission

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Abstract.

Graphene is one of the thinnest and hardest elastic nanoscale materials and has opened new horizons in the field of material science for its versatile applications. The thermophoretic motion system is under investigation which describes the propagation of solitons in substrate-supported graphene sheets. A test function of the extended three-soliton method is used to construct the new soliton solutions. The one-order and mixed-order solutions involving solitons and lump waves are constructed. The dynamical behaviour of solitons under reflection, periodic distribution and interaction is depicted. Moreover, the bright and mixed type lump wave soliton propagation and interaction are discussed.

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Authors and Affiliations

  1. Department of Mathematics, NCBA&E, LBU DHA Campus, Lahore, Pakistan

    Adeel Arif

  2. Department of Mathematics and Statistics, The University of Lahore, 54000, Lahore, Pakistan

    Muhammad Younis

  3. Institute of Chemistry, University of the Punjab, 54790, Lahore, Pakistan

    Muhammad Imran

  4. Department of Basic Science, Faculty of Engineering at October 6 University, 6th of October, Cairo, Egypt

    Mohammad Tantawy

  5. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan

    Syed Tahir Raza Rizvi

Authors
  1. Adeel Arif
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  2. Muhammad Younis
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  3. Muhammad Imran
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  4. Mohammad Tantawy
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  5. Syed Tahir Raza Rizvi
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Correspondence to Muhammad Younis.

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Arif, A., Younis, M., Imran, M. et al. Solitons and lump wave solutions to the graphene thermophoretic motion system with a variable heat transmission. Eur. Phys. J. Plus 134, 303 (2019). https://doi.org/10.1140/epjp/i2019-12679-9

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  • DOI: https://doi.org/10.1140/epjp/i2019-12679-9

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