PRASANTA CHATTERJEE
Articles written in Pramana – Journal of Physics
Volume 74 Issue 6 June 2010 pp 973-981 Research Articles
Large-amplitude double layers in a dusty plasma with an arbitrary streaming ion beam
Brindaban Das Debkumar Ghosh Prasanta Chatterjee
Formation of large-amplitude double layers in a dusty plasma whose constituents are electrons, ions, warm dust grains and positive ion beam are studied using Sagdeev’s pseudopotential technique. Existence of double layers is investigated. It is found that both the temperature of dust particles and ion beam temperature play significant roles in determining the region of the existence of double layers.
Volume 80 Issue 3 March 2013 pp 519-531 Research Articles
Head-on collision of dust-ion-acoustic solitons in electron-dust-ion quantum plasmas
Prasanta Chatterjee Malay Kumar Ghorui Rajkumar Roychoudhury
In this paper, we study the head-on collision between two dust-ion-acoustic (
Volume 80 Issue 4 April 2013 pp 665-676
Effect of superthermal electrons on dust-acoustic Gardner solitons in nonplanar geometry
Deb Kumar Ghosh Yday Narayan Ghosh Prasanta Chatterjee C S Wong
The properties of nonplanar (cylindrical and spherical) dust-acoustic solitary waves (DASWs) in an unmagnetized, collisionless three-component dusty plasma, whose constituents are negatively charged cold dust fluid, superthermal/non-Maxwellian electrons (represented by kappa distribution) and Boltzmann distributed ions, are investigated by deriving the modified Gardner (MG) equation. The well-known reductive perturbation method is employed to derive the MG equation. The basic features of nonplanar DA Gardner solitons (GSs) are discussed. It is seen that the properties of nonplanar DAGSs (positive and negative) significantly differ as the value of spectral index 𝜅 changes.
Volume 88 Issue 1 January 2017 Article ID 0018 Regular
Face-to-face interaction of multisolitons in spin-1/2 quantum plasma
KAUSHIK ROY SOURAV CHOUDHURY PRASANTA CHATTERJEE C S C S WONG
We investigate the face-to-face collision between multisolitons in spin-1/2 quantum plasma. It is studied in the framework of the model proposed by Marklund et al in {\it Phys. Rev.} E 76, 067401 (2007). This studyis done with the help of the extended Poincare–Lighthill–Kno (PLK) method. The extended PLK method is also used to obtain two Korteweg–de Vries (KdV) equations and the phase shifts and trajectories during the head-oncollision of multisolitons. The collision-induced phase shifts (trajectory changes) are also obtained. The effects of the Zeeman energy, total mass density of the charged plasma particles, speed of the wave and the ratio of the sound speed to Alfvén speed on the phase shifts are studied. It is observed that the phase shifts are significantly affected by all these parameters.
Volume 95 All articles Published: 30 April 2021 Article ID 0073 Reserach Article
SANTANU RAUT KAJAL KUMAR MONDAL PRASANTA CHATTERJEE ASHIM ROY
The characteristics of ion-acoustic solitary waves in rotating, weakly relativistic, magnetised and collisionless plasma system comprising electron, positron and ion (EPI) under a periodic external force, whose constituents electron and positron obey Boltzmann distribution, are investigated by deriving forced Zakharov–Kuznetsov (FZK) equation. FZK equation is constructed using reductive perturbation technique (RPT) which is based on multiple-scale analysis of dependent variables. The effects of physical parameters such as the ratio of temperature of electron and positron, the strength of external periodic force, positron concentration in electron background, ion temperature and magnetic field on the analytical solitary wave solution of FZK equation are observed. It is seen that the behaviours of ion-acoustic wave are significantly affected due to the presence of positron and the periodic external forces. The results of this work may be applied when the above-mentioned plasma environment is found in laboratory as well as in space.
Volume 97 All articles Published: 27 March 2023 Article ID 0054 Research Article
DIPAN SAHA PRASANTA CHATTERJEE SANTANU RAUT
The purpose of this article is to derive a class of multi-soliton solutions of the Burgers equation employing Darboux transformation with the help of the Lax pair. By means of an effective transformation, the Burgers equation is reduced to a suitable form, and accordingly, the Lax pair of the said equation is derived utilisingthe Ablowitz–Kaup–Newell–Segur (AKNS) approach. Thus, the integrability of the Burgers equation is confirmed. To find an effective solution for the Burgers equation, for the first time, we apply the Darboux transformation through the Lax pair and explore new types of one-soliton solutions and two-soliton solutions of the Burgers equation. These solutions provide some new features of the Burgers equation. To the best of our knowledge, this is the first studyin which a parabolic type of structure is found in the Burgers system. Moreover, taking these solutions as the seed solution, higher-order multi-soliton solution can also be generated. Finally, some important three-dimensional plotsof the wave solutions are presented to visualise the dynamics of the model.
Volume 97, 2023
All articles
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode
© 2023-2024 Indian Academy of Sciences, Bengaluru.