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Some new families of spiky solitary waves of one-dimensional higher-order K-dV equation with power law nonlinearity in plasma physics

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Abstract

In this article, we studied analytically the propagation of spiky solitary waves model by higher-order nonlinear one-dimensional K-dV equation arising in plasma physics. By using auxiliary equation mapping method, we found a series of more general and new families of solutions. These solutions are more powerful in the development of soliton dynamics, quantum plasma, adiabatic parameter dynamics, biomedical problems, fluid dynamics, industrial studies, and many other fields. The calculations are more reliable, straightforward, and effective to study analytically other nonlinear complicated physical problems. We have expressed our solutions graphically with the help of Mathematica 10.4 to understand physically the behavior of different shapes of solitary waves including kink type, anti-kink type, half bright and dark soliton.

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Acknowledgements

This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

  2. Mathematics Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt

    Aly R. Seadawy

  3. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Nadia Cheemaa

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  1. Aly R. Seadawy
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  2. Nadia Cheemaa
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Correspondence to Aly R. Seadawy or Nadia Cheemaa.

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Seadawy, A.R., Cheemaa, N. Some new families of spiky solitary waves of one-dimensional higher-order K-dV equation with power law nonlinearity in plasma physics. Indian J Phys 94, 117–126 (2020). https://doi.org/10.1007/s12648-019-01442-6

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