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Dressed solitons and double layers of ion-acoustic waves in a dusty plasma having ultra-relativistic degenerate two-temperature electrons

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Abstract

Using the integral form of governing equation in terms of pseudopotential, the effect of higher-order nonlinear and dispersive effects on the dressed solitons (DS) and double layers (DL) of ion-acoustic waves has been theoretically studied in an ultra-relativistic degenerate (URD) plasma consisting of cold inertial ions, degenerate two-temperature electrons and negatively charged dust particles. The solution of DS in such plasma is obtained up to second-order approximation. The profiles of DS are drawn and discussed for different values of density and temperature of this plasma. The DS is compressive in the plasma for different values of density and temperature of degenerate electrons, and its amplitude is much larger than that of the first-order (KdV) solitons. The DS is compressive with wave-like structure for some value of the temperature of degenerate electrons, and its amplitude is lower than that of the KdV solitons. Moreover, the solution for the DS near-critical state is obtained and discussed graphically. Near-critical state, the temperatures of URD electrons have important roles in the DS. The solution of DL in the plasma has also been obtained and graphically discussed. Both compressive and rarefactive DL will be excited in URD two-temperature-electron plasma for different values of the electron density. But, only rarefactive DL would be excited in this plasma for different values of the electron temperature. The results are new and these would be applicable in space plasma.

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Authors and Affiliations

  1. Department of Physics, Jadavpur University, Kolkata, 700032, India

    Indrani Paul & Sailendra Nath Paul

  2. East Kolkata Centre for Science Education and Research, P-1, B.P.Township, Kolkata, 700 094, India

    Arkojyothi Chatterjee & Sailendra Nath Paul

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  1. Indrani Paul
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  2. Arkojyothi Chatterjee
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  3. Sailendra Nath Paul
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Correspondence to Sailendra Nath Paul.

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Paul, I., Chatterjee, A. & Paul, S.N. Dressed solitons and double layers of ion-acoustic waves in a dusty plasma having ultra-relativistic degenerate two-temperature electrons. Indian J Phys 97, 263–277 (2023). https://doi.org/10.1007/s12648-021-02059-4

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