Gadadhar Banerjee

Bio: Gadadhar Banerjee is an academic researcher from Central University, India. The author has contributed to research in topics: Dusty plasma & Ion acoustic wave. The author has an hindex of 4, co-authored 11 publications receiving 73 citations. Previous affiliations of Gadadhar Banerjee include University of Engineering & Management & National Institute of Technology, Durgapur.

Arbitrary amplitude dust ion acoustic solitons and double layers in the presence of nonthermal positrons and electrons

Abstract: Existence of arbitrary amplitude solitons and double layers have been studied in collisionless unmagnetized multicomponent dusty plasmas with nonthermally distributed positrons and electrons by using Sagdeev's pseudopotential method. The linear dispersion relation is obtained for dust ion acoustic wave mode. The present model supports the coexistence of positive potential solitary waves and negative potential solitary waves and double layers. The criterion for the existence of solitary waves and double layers is derived in terms of Mach number limit. The effects of ion temperature and nonthermality of electrons and positrons are studied. Also the effects of positron and dust concentration on the wave propagation are observed.

Dust ion acoustic solitary waves in a collisional dusty plasma with dust grains having Gaussian distribution

Abstract: The influence of dust size distribution on the dust ion acoustic solitary waves in a collisional dusty plasma is investigated. It is found that dust size distribution changes the amplitude and width of a solitary wave. A critical wave number is derived for the existence of purely damping mode. A deformed Korteweg-de Vries (dKdV) equation is obtained for the propagation of weakly nonlinear dust ion acoustic solitary waves and the effect of different plasma parameters on the solution of this equation is also presented.

Pseudopotential approach for dust acoustic solitary waves in dusty plasmas with kappa-distributed ions and electrons and dust grains having power law size distribution

Abstract: Sagdeev's pseudopotential method is used to study small as well as arbitrary amplitude dust acoustic solitons in a dusty plasma with kappa distributed electrons and ions with dust grains having power law size distribution. The existence of potential well solitons has been shown for suitable parametric region. The criterion for existence of soliton is derived in terms of upper and lower limit for Mach numbers. The numerical results show that the size distribution can affect the existence as well as the propagation characteristics of the dust acoustic solitons. The effect of kappa distribution is also highlighted.

Dust acoustic waves in an inhomogeneous plasma having dust size distribution

Abstract: Propagations of nonlinear dust acoustic solitary waves in an inhomogeneous unmagnetized dusty plasma having power law dust distribution are investigated. Using a reductive perturbation technique, a variable coefficient deformed Korteweg-deVries (VCdKdV) equation is derived from the basic set of hydrodynamic equations. The generalized expansion method is employed to obtain a solitary wave solution for the VCdKdV equation. The different propagation characteristics of the solitary waves are studied in the presence of both plasma inhomogeneity and dust distribution.

Bifurcation analysis of supernonlinear waves in an electron-positron-ion-dusty plasma having nonthermal distribution of electron and positron

Abstract: The dynamics of four component dusty plasma with nonthermal electrons and positrons are examined. The bifurcation analysis of small amplitude dust ion acoustic (DIA) waves in this multicomponent plasma is investigated. Employing the reductive perturbation technique (RPT), the two nonlinear equations viz. KdV and mKdV are derived and using the travelling wave transformation, respective planar dynamical systems are deduced. Based on the bifurcation theory of this dynamical system, all possible phase portraits, including nonlinear homoclinic orbit, nonlinear periodic orbit and supernonlinear periodic orbit are presented. The pseudopotential profiles for the nonlinear equations are plotted for different parametric values to illustrate and confirm the phase plane analysis. It is found that the system parameter values affect the bifurcation of the DIA waves. It is also shown that the system supports both nonlinear and supernonlinear DIA periodic waves.

Dusty plasma effects in Saturn's magnetosphere

Abstract: [1] Comets, planetary rings, exposed dusty surfaces, and the zodiacal dust cloud are all examples of environments where dusty plasma effects establish the size and spatial distributions of small grains. Simultaneously, dust often influences the composition, density, and temperature of the plasma surrounding it. The dynamics of charged dust particles can be surprisingly complex and fundamentally different from the well-understood limits of gravitationally dominated motions of neutral particles or the adiabatic motion of electrons and ions in electromagnetic fields that dominate gravity. In this review we focus on observations that are best explained by theories concerning dusty plasma effects at Saturn. In addition to presenting our current models we also discuss our expectations for new discoveries based on existing observations at Jupiter or on purely theoretical considerations. Our intent is to give an up-to-date overview of dusty plasma effects in Saturn's magnetosphere and to draw attention to several outstanding problems that could be resolved by the Cassini mission.

Propagation of kink and anti-kink wave solitons for the nonlinear damped modified Korteweg–de Vries equation arising in ion-acoustic wave in an unmagnetized collisional dusty plasma

Abstract: In this research work, we investigate the dust ion-acoustic solitary wave in an unmagnetized collisional dusty plasma, which consists on ions having positive charge, dust fluid with negative charge, q nonextensive electrons and background neutral particles. We formulated nonlinear model by the damped modified Korteweg–de Vries (D-mKdV) equation by applying reductive perturbation technique. We also constructed the new solitary wave solutions for nonlinear D-mKdV equation with the help of two techniques. The obtained solutions are new and general and having the structure in the form of solitons, kink and antikink wave solitons, traveling waves, periodic solitary wave and we also show the structure of obtained solutions by two-dim and three-dim graphical by using the Mathematica to know the physical interpretation of different structure of DIASWs. These obtained solutions are more useful in the development of quantum plasma, dynamics of solitons, dynamics of fluid, problems of biomedical, dynamics of adiabatic parameters, industrial phenomena and many other branches. The calculations show that these techniques are more effective, fruitfulness and powerful to investigate analytical other nonlinear physical models of PDEs involves in Mathematical physics, plasma physics, Geo physics, fluid mechanics, hydrodynamics, mathematical biology, field of engineering and many other physical sciences.

On the propagation of ion acoustic solitary waves of small amplitude.

Abstract: : It is shown that under certain approximations the basic system of equations governing the propagation of ion acoustic waves can be reduced to the Kortweg-deVries equation. (Author)

Solitary wave solution and dynamic transition of dust ion acoustic waves in a collisional nonextensive dusty plasma with ionization effect

Abstract: The solitary wave solution and dynamic transition of dust ion acoustic waves (DIAWs) are studied in an unmagnetized collisional dusty plasma, which consists of negatively charged dust fluid, positively charged ions, q -nonextensive electrons, and background neutral particles, considering the ionization effect, ion loss, ion–neutral, ion–dust, and dust–neutral collisions. Using reductive perturbation technique (RPT) the damped Korteweg–de Vries (DKdV) equation and the damped modified Korteweg–de Vries (DMKdV) equation are derived. Using momentum conservation law, dust ion acoustic solitary wave solutions (DIASWSs) are obtained for the DKdV and MDKdV equations. Effects of nonextensive parameter ( q ) and ion–dust collisional frequency ( ν i d ) are presented on the DIASWSs. Effects of ion–dust collisional frequency ( ν i d ), ion–neutral collisional frequency ( ν i n ) and ion loss rate ( ν l ) on DIAWs are investigated considering an external periodic perturbation through three-dimensional phase portrait and time-series analysis. It is found that ν i d , ν i n and ν l significantly affect on the dynamics of the perturbed DIAWs and play a pivotal role in the transition from quasiperiodic and chaotic motions to periodic motion.