Study of Dust-Acoustic Multisoliton Interactions in Strongly Coupled Dusty Plasmas

Abstract

The effect of the structure parameter on the compressibility of dust grains and soliton behavior in a dusty plasma system consisting of Maxwellian electrons, ions, and dust grains charged with a negative charge has been studied. In the theoretical study, a reductive perturbation technique was used to derive the Korteweg-de Vries (KdV) equation and employ the Hirota bilinear method to obtain multisoliton solution. It is found that coupling and structure parameters have a clear effect on the compressibility. These changes in the compressibility affected the amplitude and width of interactive solitons, in addition to the phase shifts resulting from the interaction. These results can be used to understand the behavior of solitary waves that occur in various natural and laboratory plasma environments with dust impurity situations.

Effect of the ion drag force on head‐on collisions between two nonlinear dust acoustic waves in a strongly coupled dusty plasma

“…The normalized nonlinear ion drag force expression is chosen to be the one described by Avinash et al, [ 25,26 ] namely, $$$ {F}_d=\frac{au}{b+{u}^3}, $$$ where, $$$ a=\frac{m_d{\nu}_{di}}{m_iZ{\nu}_{in}} $$$ and b is a constant ( b = 1.6), $$$ u=\frac{\omega_{pi}{T}_e}{\nu_{in}{T}_i}E, $$$ and $$$ {\nu}_{di}, $$$ $$$ {\nu}_{in} $$$, and $$$ {\omega}_{pi} $$$ being dust‐ion as well as dust‐neutral collision frequencies and ion plasma frequency respectively, $$$ {m}_d $$$ and $$$ {m}_i $$$ are the mass of dust particles and ions, and E is the electric field. Moreover, $$$ {\gamma}^{\prime }=\gamma \frac{T_d}{Z_d{T}_i} $$$; where $$$ {T}_{d,}{T}_i $$$ denote the dust and ion temperatures and $$$ \gamma $$$ is the compressibility that is given by [ …”

“…where, u(Γ) is the free energy of the system, which is expressed for strongly coupled plasma, [27][28][29] (1…”

“…; where T d, T i denote the dust and ion temperatures and 𝛾 is the compressibility that is given by [27][28][29][30]…”