The formation of ion-acoustic solitary waves in multicomponent plasmas with weak-order relativistic positive and negative ions together with inertial electron under pressure variation has been theoretically investigated. The basic set of normalized fluid equations is reduced to the Korteweg-de Vries equation by utilizing reductive perturbation method, and stationary wave solution is obtained. The characteristic roles of physical plasma parameters such as negative to positive ion mass ratio  number density ratio  and ion relativistic factor  etc. on the propagating ion-acoustic solitons are numerically examined. It has been found that solely fast  ion-acoustic modes can produce the coexistence of small amplitude rarefactive and compressive relativistic solitons due to variation of  Moreover, the amplitude of soliton reduces as  increases. The soliton’s amplitude is also raised by the variation of α.

solitary waves, KdV equation, solitons, relativistic plasma, negative ions.

Received: November 7, 2023;  Accepted: December 27, 2023; Published: January 12, 2024

How to cite this article: Rafia Khanam, Muktarul Rahman and Satyendra Nath Barman, Nonlinear propagation of ion acoustic solitary waves in weakly relativistic plasmas with positive and negative ions: the effect of electron inertia, Advances and Applications in Fluid Mechanics 30(2) (2023), 169-185. http://dx.doi.org/10.17654/0973468623010

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] B. C. Kalita and M. Deka, Weakly relativistic solitary waves in multicomponent plasmas with electron inertia, Astrophysics and Space Science 338 (2012), 87-93.
[2] Ahona Majumdar, Anusree Sen, Biswasaran Panda, R. Ghosh, Sweta Mallick and S. Chandra, Study of shock fronts and solitary profile in a weakly relativistic plasma and its evolution into an amplitude modulated envelop soliton, The African Review of Physics 15 (2021), 18-24.
[3] B. C. Kalita, R. Das and H. K. Sarmah, Weakly relativistic solitons in a magnetized ion-beam plasma in presence of electron inertia, Physics of Plasmas 18(1) (2011), 012304.
[4] Yasunori Nejoh, A two-dimensional ion acoustic solitary wave in a weakly relativistic plasma, Journal of Plasma Physics 38(3) (1987), 439-444.
[5] B. C. Kalita, S. N. Barman and G. Goswami, Weakly relativistic solitons in a cold plasma with electron inertia, Phys. Plasmas 3(1) (1996), 145-148.
[6] B. C. Kalita and Samiran Das, Dust ion acoustic (dia) solitary waves in plasmas with weak relativistic effects in electrons and ions, Astrophysics and Space Science 352 (2014), 585-592.
[7] B. C. Kalita and M. Deka, Investigation of ion acoustic solitons (ias) in a weakly relativistic magnetized plasma, Astrophysics and Space Science 347 (2013), 109 117.
[8] B. C. Kalita and M. Choudhury, Solitary waves in dusty plasmas with weak relativistic effects in electrons and ions, Plasma Physics Reports 42 (2016), 996 1004.
[9] Haruichi Washimi and Tosiya Taniuti, Propagation of ion-acoustic solitary waves of small amplitude, Phys. Rev. Lett. 17(19) (1966), 996.
[10] G. C. Das and S. N. Paul, Ion-acoustic solitary waves in relativistic plasmas, Phys. Fluids 28(3) (1985), 823-825.
[11] Bhaben Chandra Kalita and Satyendra Nath Barman, Solitons in a warm unmagnetized plasma with electron inertia and negative ions, J. Phys. Soc. Japan 64(3) (1995), 784-790.
[12] S. K. El-Labany and S. M. Shaaban, Contribution of higher-order nonlinearity to nonlinear ion-acoustic waves in a weakly relativistic warm plasma, Part 2, non-isothermal case, Journal of Plasma Physics 53(2) (1995), 245-252.
[13] Biswajit Sahu, Quantum ion-acoustic solitary waves in weak relativistic plasma, Pramana 76 (2011), 933-944.
[14] B. C. Kalita and R. Das, Small amplitude solitons in a warm plasma with smaller and higher order relativistic effects, Phys. Plasmas 14(7) (2007), 072108.
[15] B. C. Kalita, R. Das and H. K. Sarmah, Weakly relativistic effect in the formation of ion-acoustic solitary waves in a positive ion-beam plasma, Canadian Journal of Physics 88(3) (2010), 157-164.
[16] Abeer A. Mahmoud, Essam M. Abulwafa, Abd-Alrahman F. Al-Araby and Atalla M. Elhanbaly, Plasma parameters effects on dust acoustic solitary waves in dusty plasmas of four components, Adv. Math. Phys. (2018), Art. ID 7935317, 11 pp.
[17] B. C. Kalita and D. Bhattacharjee, Inherent study of the measures of perturbation to generate mKdV solitons in dusty plasma with relativistic effects in electrons and ions, Plasma Physics Reports 46(10) (2020), 1004-1014.
[18] S. N. Barman and A. Talukdar, Propagation of ion-acoustic waves in a warm dusty plasma with electron inertia, Astrophysics and Space Science 334(2) (2011), 345 349.
[19] N. S. Saini and Kuldeep Singh, Head-on collision of two dust ion acoustic solitary waves in a weakly relativistic multicomponent superthermal plasma, Phys. Plasmas 23(10) (2016), 103701.
[20] R. Das and K. C. Nath, Modified Korteweg-de Vries solitons on dust ion acoustic solitary waves in a warm plasma with electrons’ drift motion, Advances and Applications in Fluid Mechanics 19(3) (2016), 541-553.
[21] G. P. Zank and R. G. Greaves, Linear and nonlinear modes in nonrelativistic electron-positron plasmas, Physical Review E 51(6) (1995), 6079.
[22] S. Y. El-Monier and A. Atteya, Obliquely propagating nonlinear ion-acoustic solitary and cnoidal waves in nonrelativistic magnetized pair-ion plasma with superthermal electrons, AIP Advances 9(4) (2019), 045306.
[23] Michael S. Ruderman, Quasi-parallel propagation of solitary waves in magnetised non-relativistic electron-positron plasmas, Journal of Plasma Physics 86(3) (2020), 905860311.
[24] S. Y. El-Monier and A. Atteya, Dynamics of ion-acoustic waves in nonrelativistic magnetized multi-ion quantum plasma: the role of trapped electrons, Waves in Random and Complex Media 32(1) (2022), 299-317.