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Exact Traveling Wave Solutions of Further Modified Korteweg–De Vries Equation in Multicomponent Plasma

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Abstract

Using the hydrodynamic equations of positive and negative ions, Boltzmann electron density distribution for degenerate electron pressure, and Poisson equation with stationary dust, a further modified Korteweg–Vries equation is derived for small but finite amplitude dust-ion-acoustic waves. ‘\(G'/G\)’ method is used to obtain a new class of solutions. The effects of physical parameters on astrophysical compact objects, and thus the nonlinear solitary and shock structures are examined corresponding to traveling waves.

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Acknowledgements

M. S. Zobaer would like to thank Bangladesh University of Textiles, Bangladesh, for all facilities to make this collaboration work. Authors like to thanks the respective reviewer(s) with suggestion(s) and comment(s) to improve the quality of this manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt

    U. M. Abdelsalam

  2. Department of Physics, Bangladesh University of Textiles, Dhaka, Bangladesh

    M S Zobaer

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  1. U. M. Abdelsalam
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  2. M S Zobaer
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Correspondence to U. M. Abdelsalam.

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Abdelsalam, U.M., Zobaer, M.S. Exact Traveling Wave Solutions of Further Modified Korteweg–De Vries Equation in Multicomponent Plasma. Iran J Sci Technol Trans Sci 42, 2175–2182 (2018). https://doi.org/10.1007/s40995-017-0367-x

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  • DOI: https://doi.org/10.1007/s40995-017-0367-x

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