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Higher-order nonlinear dust ion acoustic (DIA) solitary waves in plasmas with weak relativistic effects in electrons and ions

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Abstract

Graphic Abstract

In this new investigation of higher-order nonlinear dust ion acoustic (DIA) waves with negative dust charges and weakly relativistic ions and electrons in the plasma, only compressive DIA solitons of interesting characters are established through the modified Korteweg–de Vries equation which is derived through standard perturbation technique. Important characteristics of amplitudes and width of relativistic DIA solitary waves are investigated in this new investigation for different plasma parameters. It is found that the amplitude of the solitons increases for smaller streaming speed to ions and electrons with the increment of dust-to-ion density ratio, whereas it is opposite for higher streaming speed of ions and electrons. It is also found that the amplitude of the compressive solitons remains unaffected and linearly increases with the enhancement of dust charges in the plasma. Finally, application of this study to astrophysical and space plasma is discussed briefly.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data that support the findings of this study are available within the article.]

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Authors and Affiliations

  1. Department of Mathematics, Central Institute of Technology Kokrajhar, BTR, Kokrajhar, Assam, 783370, India

    Samiran Das

  2. Department of Mathematics, Barnagar College, Sorbhog, Barpeta, Assam, 781317, India

    Dulal Chandra Das

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  1. Samiran Das
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Both the authors contributed equally in the preparation of this manuscript.

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Correspondence to Samiran Das.

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Das, S., Das, D.C. Higher-order nonlinear dust ion acoustic (DIA) solitary waves in plasmas with weak relativistic effects in electrons and ions. Eur. Phys. J. D 77, 39 (2023). https://doi.org/10.1140/epjd/s10053-023-00621-9

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