Eur. Phys. J. Plus (2021) 136: 831
https://doi.org/10.1140/epjp/s13360-021-01820-2

Regular Article

Nonlinear ion acoustic solitary wave in collisional pair ion plasma with trapped electrons

¹ Departmet of Physics, Gauhati University, 781014, Guwahati, Assam, India
² Center for Applied Mathematics and Computing, Siksha ‘O’ Anusandhan (Deemed to be University), 751030, Khandagiri Bhubaneswar, Odisha, India
³ Centre of Plasma Physics-Institute for Plasma Research, Nazirakhat, Tepesia, Sonapur, 782402, Guwahati, Assam, India
⁴ Physical Sciences Division, Institute of Advanced Study in Science and Technology, Vigyan Path, Paschim Boragaon, Garchuk, 781035, Guwahati, Assam, India

^b apulnarayan@gmail.com, apulnarayandev@soa.ac.in

Received: 20 January 2021
Accepted: 27 July 2021
Published online: 12 August 2021

Abstract

The nonlinear solitary wave in a magnetized plasma with the combined effect of ion collision and trapped electrons distribution is investigated. Using the reductive perturbation technique, the damped modified Schamel–Zakarov–Kuznetsov nonlinear wave equation is derived and analyzed numerically. Solitary wave propagation through collisional plasma medium is analyzed for different parameters such as free to trapped electrons temperature ratio, collisional term, positive and negative ion density ratio and ion mass ratio. It is observed that the increase in free to trapped electron temperature ratio enhances the speed of the solitons toward its direction of propagation where we observed the formation of fast wave mode, and the whole analysis has been carried out for fast wave mode. While the collisional effect due to ions and neutral particles significantly reduces the amplitude. The findings of this work will be helpful in understanding trapped electrons effect in collisional plasmas, containing negative ions.