https://doi.org/10.1140/epjd/s10053-025-01063-1
Regular Article – Plasma Physics
Kinetic Alfvén solitary waves in multi-species magnetoplasma with Tsallis-distributed electrons and positrons
1
Department of Physics, Noakhali Science and Technology University, 3814, Noakhali, Bangladesh
2
Department of Mathematics and Natural Sciences, Brac University, 1212, Merul Badda, Dhaka, Bangladesh
3
Department of Physics, Hajee Mohammad Danesh Science and Technology University, 5200, Dinajpur, Bangladesh
4
Department of Physics, Jahangirnagar University, 1342, Savar, Dhaka, Bangladesh
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
15
May
2025
Accepted:
10
September
2025
Published online:
27
September
2025
Abstract
The nonlinear dynamics of plasma waves in multi-species magnetized systems is of great importance for understanding energy transport and particle interactions in both astrophysical and laboratory environments. This study investigates heavy ion-acoustic kinetic Alfvén solitary waves (HIAKASWs) in a magnetized plasma composed of inertial thermal heavy ions and non-extensive electron–positron pairs. Using the reductive perturbation method, we derive both the Korteweg–de Vries (K-DV) and modified Korteweg–de Vries (MK-DV) equations, which capture the balance between dispersion and nonlinearity, and analyze their soliton solutions under different plasma conditions. The electron and positron populations are described by Tsallis non-extensive statistics, allowing exploration of deviations from Maxwellian behavior. The analysis reveals that the K-DV equation admits both compressive and rarefactive solitary structures, while the higher-order MK-DV formulation supports only compressive modes. Parametric investigations demonstrate that heavy ion thermal pressure and inertia play a dominant role in shaping wave amplitude and width compared to electron and positron effects. The results highlight the influence of non-extensivity, magnetic field strength, and propagation angle on solitary wave characteristics, with implications for plasma dynamics in astrophysical and laboratory environments.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
M. Sarker, M. G. Shah, M. R. Hossen, and A. A. Mamun contributed equally to this work.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
