• Head-on collision of dust-ion-acoustic solitons in electron-dust-ion quantum plasmas

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/080/03/0519-0531

• # Keywords

Dust-ion-acoustic solitons; electron-dust-ion plasma; quantum plasma; phase shift; Pioncaré–Lighthill–Kuo (PLK) method; KdV equation; head-on collision.

• # Abstract

In this paper, we study the head-on collision between two dust-ion-acoustic (DIA) solitons in quantum electron-dust-ion plasma. Using the extended Poincaré–Lighthill–Kuo (PLK) method, we obtain the Korteweg–de Vries (KdV) equations, the phase shifts and the trajectories after the head-on collision of the two DIA solitons. We investigate the effect of quantum diffraction parameters for electrons and ions $(H_{e}, H_{i})$, the Fermi temperature ratio $(\sigma)$ and the dust charged number density $(n_{\text{d0}})$ on the phase shifts. Different values of $\mu = z_{\text{d0}}(n_{\text{d0}}/n_{\text{i0}})$ and $\mu_{\text{d}} = z_{\text{d0}}(m_{\text{i}}/m_{\text{d}})$ are taken to discuss the effects on phase shifts, where $z_{\text{d0}}$ denotes the dust charge number, $n_{\text{j0}}$represents the equilibrium number density and $m_{j}$ is the mass of the jth species ($j = e, i , d$ for electrons, ions and dust particles, respectively). It is observed that the phase shifts are significantly affected by the plasma parameters.

• # Author Affiliations

1. Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan 731 235, India
2. Department of Mathematics, B.B. College, Asansol 713 303, India
3. Physics and Applied Mathematics, Indian Statistical Institute, Kolkata 700 009, India

• # Pramana – Journal of Physics

Volume 95, 2021
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Posted on July 25, 2019

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