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Damping solitary wave in dusty plasma is studied by considering the collision effect between dust grains and ions. It can be described by a KdV type equation in which a damping term of φ2 exist. It is found that both the amplitude and propagation velocity of the solitary wave decrease with time exponentially. Our results are compared with another KdV type equation with the damping term of φ. It is noted that the damping rate of the KdV type equation with the damping term of φ2 is larger than that with the term of φ. It is found that the damping rate is proportional to the collision frequency between dust grains and ions. [ABSTRACT FROM AUTHOR]

The collision between two ion-acoustic solitary waves with arbitrary colliding angle θ in an unmagnetized, ultracold quantum three-component e-p-i plasma has been investigated. By using the extended Poincaré-Lighthill-Kuo (PLK) perturbation method, we obtain the KdV equations and the analytical phase shifts after the collision of two solitary waves in this three-component plasma. The effects of the quantum parameter H, the ratio of Fermi positron temperature to Fermi electron temperature σ, the ratio of Fermi positron number density to Fermi electron number density μ, and the ratio of Fermi ion temperature to Fermi electron temperature ρ on the phase shifts are studied. It is found that these parameters can significantly influence the phase shifts of the solitons. [ABSTRACT FROM AUTHOR]

The damping solitary wave in dusty plasma is studied by considering the collision effect between dust grains and ions. It can be described by a KdV type equation in which a damping term of φ 2 exists. We address the issues raised in the comment that the KdV-type equation obtained in the work is not correct in the paper [Phys. Plasmas 19, 103705 (2012)]. In this reply, we point out that there are some misprints which do not affect the derivation of the damping KdV equation but affect the coefficients of the damping KdV equation. The main results are the approximated analytical solution of the damping KdV equation, so the misprints affect the quantitative results but not the qualitative results. [ABSTRACT FROM AUTHOR]

According to the comments of Akbari-Moghanjoughi that the electron-positron-ion(e-p-i) plasmas parameters σ representing the ratio of the positron to electron Fermi-temperature and p standing for the positron to electron number-density ratio are related by the equation of p = σ 3/2. Based on this conclusion, we have replaced the Figs. 1-6 (Ref. 1) in the present paper. [ABSTRACT FROM AUTHOR]

By considering the ionization and recombination of the ions, as well as the collision between ions and dust grains, we have studied the damping solitary wave solution in a dusty plasma. In this paper, we find that the damping rate of the solitary wave increases as both the mass and the density of the dust grains increase. However, it decreases as the charge of the dust grain increases. [ABSTRACT FROM AUTHOR]