Prasanta Chatterjee

Ion-acoustic shocks in quantum electron-positron-ion plasmas

Nonlinear propagation of quantum ion-acoustic waves (QIAWs) in a dense quantum plasma whose constituents are electrons, positrons, and positive ions is investigated using a quantum hydrodynamic model. The standard reductive perturbation technique is used to derive the Korteweg–de Vries–Burger (KdVB) equation for QIAWs. It is shown by numerical simulation that the KdVB equation has either oscillatory or monotonic shock wave solutions depending on the system parameters H proportional to quantum diffraction, μi the effect of ion kinematic viscosity, and μ the equilibrium electron to ion density ratio. The results may have relevance in dense astrophysical plasmas (such as neutron stars) as well as in intense laser solid density plasma experiments where the particle density is about 1025−1028m−3.

Head-on collision of ion acoustic solitary waves in an electron-positron-ion plasma with superthermal electrons

The head-on collision of ion acoustic solitary waves in a three-component unmagnetized plasma with cold ions, Boltzmann distributed positrons, and superthermal electrons is investigated using the extended Poincare–Lighthill–Kuo method. The effects of the ratio of electron temperature to positron temperature, the spectral index, κ, of the electron kappa distribution, and fractional concentration of positron component (p) on the phase shift are studied. It is found that the presence of superthermal electrons play a significant role on the collision of ion acoustic solitary waves.

Bifurcations of dust ion acoustic travelling waves in a magnetized dusty plasma with a q-nonextensive electron velocity distribution

Nonlinear ion acoustic waves in the magnetized dusty plasma in the presence of superthermal electron have been studied. We have used the reductive perturbation method to derive a Kadomtsev-Petviashili equation for dust ion acoustic waves in a magnetized dusty plasma with q-nonextensive velocity distributed electrons. By applying the bifurcation theory of planar dynamical systems to this equation, the existence of solitary wave solutions and periodic travelling wave solutions is proved. Two exact solutions of the above waves are obtained.

The effect of q-distributed electrons on the head-on collision of ion acoustic solitary waves

The head-on collision of ion acoustic solitary waves (IASWs) in two component plasma comprising nonextensive distributed electrons is investigated. Two opposite directional Kortewg-de-vries (KdV) equations are derived and the phase shift due to collision is obtained using the extended version of Poincare-Lighthill-Kuo method. Different ranges of nonextensive parameter q are considered and their effects on phase shifts are observed. It is found that the presence of nonextensive distributed electrons plays a significant role on the nature of collision of ion acoustic solitary waves.

Bifurcations of nonlinear ion acoustic travelling waves in the frame of a Zakharov-Kuznetsov equation in magnetized plasma with a kappa distributed electron

Bifurcations of nonlinear propagation of ion acoustic waves (IAWs) in a magnetized plasma whose constituents are cold ions and kappa distributed electron are investigated using a two component plasma model. The standard reductive perturbation technique is used to derive the Zakharov-Kuznetsov (ZK) equation for IAWs. By using the bifurcation theory of planar dynamical systems to this ZK equation, the existence of solitary wave solutions and periodic travelling wave solutions is established. All exact explicit solutions of these travelling waves are determined. The results may have relevance in dense space plasmas.

Head-on collision of dust acoustic solitary waves in a four-component dusty plasma with nonthermal ions

The head-on collision of dust acoustic solitary waves in a four-component unmagnetized dusty plasma with Boltzmann distributed electrons, nonthermal ions, and negatively charged dust grains as well as positively charged dust grains is investigated using the extended Poincare-Lighthill-Kuo method. The effects of the ratio of electron temperature to ion temperature and the ratio of the positively charged dust grains mass to the negatively charged dust grains mass on the phase shift are studied. It is found that the presence of nonthermal ions plays a significant role on the collision of dust acoustic solitary waves. This study would be useful for investigations of plasma behavior in different regions of space, viz., cometary tails, upper and lower mesosphere, Jupiter’s magnetosphere, etc.

Head-on collision of dust-ion-acoustic soliton in quantum pair-ion plasma

In this paper, we study the head-on collision between two dust ion acoustic solitons in quantum pair-ion plasma. Using the extended Poincare–Lighthill–Kuo method, we obtain the Korteweg–de Vries equation, the phase shifts, and the trajectories after the head-on collision of the two dust ion acoustic solitons. It is observed that the phase shifts are significantly affected by the values of the quantum parameter H, the ratio of the multiples of the charge state and density of positive ions to that of the negative ions β and the concentration of the negatively charged dust particles δ.

Dressed soliton in quantum dusty pair-ion plasma

Nonlinear propagation of a quantum ion-acoustic dressed soliton is studied in a dusty pair-ion plasma. The Korteweg–de Vries (KdV) equation is derived using reductive perturbation technique. A higher order inhomogeneous differential equation is obtained for the higher order correction. The expression for a dressed soliton is calculated using a renormalization method. The expressions for higher order correction are determined using a series solution technique developed by Chatterjee et al. [Phys. Plasmas 16, 072102 (2009)].

New analytical solutions for dust acoustic solitary and periodic waves in an unmagnetized dusty plasma with kappa distributed electrons and ions

Dust acoustic solitary waves and periodic waves in an unmagnetized dusty plasma with kappa distributed electrons and ions are investigated through non-perturbative approach. Basic equations are reduced to a system of ordinary differential equations involving electrostatic potential. After that by applying the bifurcation theory of planar dynamical systems to this system, we have studied the existence of solitary wave solutions and periodic wave solutions. New analytical solutions for the above waves are derived depending on the parametric space. Regarding the solitary and periodic wave solutions, the combined effects of temperature ratio (σ) of ions and electrons, spectral index (κ) and density ratio (p) are studied on characteristics of dust acoustic (DA) solitary waves and periodic waves. The spectral index (κ), density ratio (p) of ions and electrons and temperature ratio (σ) significantly influence the characteristics of dust acoustic solitary and periodic structures.

Obliquely propagating ion acoustic solitary waves in magnetized dusty plasma in the presence of nonthermal electrons

Obliquely propagating dust ion acoustic solitary waves subjected to an external magnetic field are studied using Sagdeev’s pseudopotential technique. Nonthermal distribution for electrons is considered. The pseudopotential is derived without considering the quasineutrality condition. It is obtained from the Poisson equation instead. Using Sagdeev’s technique, the ranges of parameters for which solitary waves exist are studied in detail.