Golaghat Commerce College is a leading higher education institution established on 9 October 1972 at Jyoti Nagar, Golaghat of the Golaghat district of Upper Assam, India. Affiliated to Dibrugarh University, the college has various departments running Higher Secondary and undergraduate courses both in Commerce and Arts.
The linear and nonlinear propagation of dust–acoustic waves in an inhomogeneous dusty plasma with nonthermal electrons and ions is investigated. The effects of electron and ion nonthermality, equilibrium plasma densities, dust charge, and temperature ratio are included. By applying the reductive perturbation method, we derive a damped Korteweg–de Vries equation governing the nonlinear evolution of the dust-acoustic mode. The resulting equation and its analytical solution are examined in detail. The soliton amplitude exhibits a non-monotonic dependence on the nonthermal parameters, attaining a maximum at intermediate values as a result of the competition between nonlinearity and dispersion. The results emphasize the joint influence of plasma inhomogeneity, nonthermal populations, and dust charging on dust–acoustic wave dynamics, and they may be tested against contemporary experimental observations in complex plasmas. In several limiting cases, the present results reduce to previously reported models, and the findings are applicable to both laboratory and space dusty plasma studies.
We present a theoretical model to investigate the nonlinear behavior of gravito-electrostatic fluctuations in an unmagnetized self-gravitating visco-elastic dusty plasma of infinite extension. It is composed of five distinct species: nonthermal lighter (inertialess) components–electrons, positive ions, and negative ions–and thermal heavier (inertial) components–neutral and charged dust grains. Applying nonlinear normal mode analysis, we derive a unique pair of extended Korteweg–de Vries–Burgers (KdV–B) equations that describe the hybridized dynamics of coupled gravito-electrostatic potential fluctuations. A judicious numerical platform is constructed to understand the exact nature of the fluctuation dynamics. It is reviewed that the KdV-B system manifests as electrostatic narrow solitary spectral patterns and the corresponding self-gravitational broad counterparts. The steady-state nature of the fluctuation dynamics is found to be sensitively dependent on diverse plasma parameters. Astronomical applicability of the investigated results in light of current observational missions is finally outlined.
We investigate the nonlinear evolution of dust–acoustic waves (DAWs) in self-gravitating, magnetized opposite-polarity dusty plasmas (OPDP). The system consists of positively and negatively charged dust, Tribeche-type nonthermal ions, degenerate electrons, and inertial cold dust. By employing the Reductive Perturbation Method, we derive a KdV equation that uniquely incorporates electron trapping, dust polarity, magnetization, and self-gravitational effects. Our analysis reveals that these factors critically determine the amplitude, width, polarity, and stability of DAW solitary structures, with electrostatic fluctuations forming compressive solitons and gravitational fluctuations forming rarefactive solitons. These findings provide new insights into mass localization and gravito-electrostatic coupling in dense astrophysical plasmas. The results also establish a predictive framework for laboratory dusty plasma experiments under strong magnetization and self-gravitating conditions.
A facile one-pot multicomponent reaction employing aromatic aldehydes, malononitrile, and phthalhydrazide in H2O and EtOH (1:1) mixture at 80ºC has been innovated for the synthesis of 1H-pyrazolo[1,2-b]phthalazine-5,10-diones. This approach stands out for its simplicity, ease of execution, and high efficiency. The reaction employs 20 mol
We theoretically study the nonlinear pulsational mode dynamics in strongly correlated (viscoelastic) self-gravitating complex charge-fluctuating dust molecular clouds (DMCs) on the astrophysical spatiotemporal scales. A nonlinear normal mode (local) analysis results in a unique pair of extended Kortweg de-Vries-Burgers (KdV-B) equations on the conjugational gravito-electrostatic potential fluctuations in a mixed form. The KdV-B system is numerically analysed in a wide-range parametric window relevant to realistic astronomical DMC circumstances. It is found that the fluctuation dynamics evolves as solitary-chain patterns. The electrostatic fluctuation amplitude increases with the referral frame velocity; whereas, the gravitational fluctuations are insensitive to this velocity. The fluctuation dynamics are found to be independent of variation in the equilibrium dust density, equilibrium dust charge, dust mass, and so forth. The validation and reliability checkup of our results is highlighted in fair corroboration with the literature. Our results could be useful in understanding the mechanism behind bounded structure formation via the non-local self gravitational collapse dynamics.
