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Raut, Santanu; Roy, Subrata; Saha, Sandip; Das, Apurba Narayan

Effect of kinematic viscosity on ion acoustic waves in superthermal plasma comprising cylindrical and spherical geometry. (English) Zbl 1504.35373

Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 196, 20 p. (2022).

Cited in 1 Document

MSC:

35Q35 PDEs in connection with fluid mechanics
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76Q05 Hydro- and aero-acoustics
76L05 Shock waves and blast waves in fluid mechanics
35C08 Soliton solutions
82D10 Statistical mechanics of plasmas

Keywords:

ion-acoustic waves; trapped electron; Schamel distribution; dissipation; solitary as well as shock solutions
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Full Text: DOI

References:

[1] Vasyliunas, V., A survey of low-energy electrons in the evening sector of the magnetosphere with OGO 1 and OGO 3, J. Geophys. Res., 73, 2839 (1968) · doi:10.1029/JA073i009p02839
[2] Hellberg, MA; Mace, RL; Baluku, TK; Kourakis, Y.; Saini, N., Comment on Mathematical and physical aspects of Kappa velocity distribution, Phys. Plasmas, 14 (2007) · doi:10.1063/1.2779283
[3] Hellberg, MA; Mace, RL; Baluku, TK; Kourakis, Y.; Saini, N., Comment on Mathematical and physical aspects of Kappa velocity distribution, Phys. Plasmas, 16, 9 (2009) · doi:10.1063/1.3213388
[4] Kourakis, I.; Sultana, S.; Hellberg, AM, Dynamical characteristics of solitary waves, shocks and envelope modes in kappa-distributed non-thermal plasmas: an overview, Plasma Phys. Control. Fusion., 54, 12, 1-7 (2012) · doi:10.1088/0741-3335/54/12/124001
[5] Mauk, HB; Mitchell, GD; McEntire, WR; Paranicas, PC; Roelof, EC; Williams, JD; Krimigis, MS; Lagg, A., Energetic ion characteristics and neutral gas interactions in Jupiter’s magnetosphere, J. Geophys. Res., 109, A09S12 (2004)
[6] Hapgood, M.; Perry, C.; Davies, J.; Denton, M., The role of suprathermal particle measurements in CrossScale studies of collisionless plasma processes, Planet. Space Sci., 59, 7, 618-629 (2011) · doi:10.1016/j.pss.2010.06.002
[7] Washimi, H.; Taniuti, T., Propagation of Ion-Acoustic Solitary Waves of Small Amplitude, Phys. Rev. Lett., 17, 996 (1966) · doi:10.1103/PhysRevLett.17.996
[8] Sultana, S.; Sarri, G.; Kourakis, I., Electrostatic shock dynamics in superthermal plasmas, Phys. Plasmas, 19 (2012) · doi:10.1063/1.3677265
[9] Williams, G.; Kourakis, I., A Schamel equation for ion acoustic waves in superthermal plasmas, Plasma Phys. Control. Fusion, 55 (2013) · doi:10.1088/0741-3335/55/5/055005
[10] Lynov, PJ; Michelsen, P.; Pecseli, LH; Rasmussen, JJ; Saeki, K.; Turikov, AV, Observations of solitary structures in a magnetized, plasma loaded waveguide, Phys. Scr., 20, 3-4, 328 (1979) · doi:10.1088/0031-8949/20/3-4/005
[11] Goldman, VM; Newman, LD; Ergun, ER, Phase-space holes due to electron and ion beams accelerated by a current-driven potential ramp, Nonlinear Process. Geophys., 10, 37 (2003) · doi:10.5194/npg-10-37-2003
[12] Schippers, P.; Blanc, M.; Andre, N.; Dandouras, I.; Lewis, RG; Gilbert, KL; Persoon, LM; Krupp, N.; Gurnett, AD; Coates, JA; Krimigis, MS; Young, TD; Dougherty, KM, Multi-instrument analysis of electron populations in Saturn’s magnetosphere, J. Geophys. Res., 113, A07208 (2008)
[13] Cattell, C.; Neiman, C.; Dombeck, J.; Crumley, J.; Wygant, J.; Kletzing, AC; Peterson, KW; Mozer, SF; Andre, M., Large amplitude solitary waves in and near the Earth’s magnetosphere, magnetopause and bow shock: Polar and Cluster observations, Nonlinear Process. Geophys., 10, 13 (2003) · doi:10.5194/npg-10-13-2003
[14] Ergun, ER; Carlson, WC; McFadden, PJ; Mozer, SE; Delory, TG; Peria, W.; Chaston, CC; Temerin, M.; Roth, I.; Muschietti, L.; Elphic, R.; Strangeway, R.; Pfaff, R.; Cattell, AC; Klumpar, D.; Shelley, E.; Peterson, W.; Moebius, E.; Kistler, L., FAST satellite observations of large-amplitude solitary structures, Geophys. Res. Lett., 25, 2041 (1998) · doi:10.1029/98GL00636
[15] Saha, A.; Chatterjee, P., Qualitative structures of electron-acoustic waves in an unmagnetized plasma with q-nonextensive hot electrons, Eur. Phys. J. Plus., 130, 222 (2015) · doi:10.1140/epjp/i2015-15222-2
[16] Mondal, KK; Roy, A.; Chatterjee, P.; Raut, S., Propagation of ion-acoustic solitary waves for damped forced Zakharov Kuznetsov equation in a relativistic rotating magnetized electron-positron-ion plasma, Int. J. Appl. Comput. Math., 6, 55 (2020) · Zbl 1444.76140 · doi:10.1007/s40819-020-0801-1
[17] Raut, S.; Mondal, KK; Chatterjee, P.; Roy, A., Two-dimensional ion-acoustic solitary waves obliquely propagating in a relativistic rotating magnetised electron-positron-ion plasma in the presence of external periodic force, SeMA, 95, 2, 1-13 (2021)
[18] Nozaki, K.; Bekki, N., Chaos in a Perturbed Nonlinear Schrödinger Equation, Phys. Rev. Lett., 50, 1226 (1983) · doi:10.1103/PhysRevLett.50.1226
[19] Williams, GP, Chaos Theory Tamed (1997), Washington DC: Joseph Henry, Washington DC · Zbl 1087.37500 · doi:10.1201/9781482295412
[20] Beiglbock, W.; Eckmann, PJ; Grosse, H.; Loss, M.; Smirnov, S.; Takhtajan, L.; Yngvason, J., Concepts and Results in Chaotic Dynamics (2000), Berlin: Springer, Berlin
[21] Sen, A.; Tiwari, S.; Mishra, S.; Kaw, P., Nonlinear wave excitations by orbiting charged space debris objects, Adv. Space Res., 56, 429-435 (2015) · doi:10.1016/j.asr.2015.03.021
[22] Duha, SS; Mamun, AA, Formation of dust-acoustic shock waves in a strongly coupled cryogenic dusty plasma, Phys. Let. A., 373, 35, 3161-3164 (2009) · Zbl 1233.76134 · doi:10.1016/j.physleta.2009.06.052
[23] Hafez, GM; Talukder, RM; Ali, HM, Nonlinear propagation of ion-acoustic waves through the Burgers equation in weakly relativistic plasmas, Plasma Phys. Rep., 43, 499-509 (2017) · doi:10.1134/S1063780X17040031
[24] Bansal, S.; Aggarwal, M.; Gill, ST, Nonplanar ion acoustic waves in dusty plasma with two temperature electrons: Application to Saturn’s E ring, Braz. J. Phys., 48, 638 (2018) · doi:10.1007/s13538-018-0602-8
[25] Bansal, S.; Aggarwal, M.; Gill, ST, Effect of positron density and temperature on the electron acoustic waves in a magnetized dissipative plasma, Plasma Sci. Tech., 21 (2018) · doi:10.1088/2058-6272/aaead8
[26] Lee, CN, Small amplitude electron-acoustic double layers and solitons in fully relativistic plasmas of two-temperature electrons, Phys. Plasmas., 16 (2009) · doi:10.1063/1.3121242
[27] Duan, WS; Lu, KP; Zhao, JB, Hot dust acoustic solitary waves in dust plasma with variable dust charge, Chin. Phys Lett., 18, 1088 (2001) · doi:10.1088/0256-307X/18/8/330
[28] Shukla, PK; Mamun, AA, Introduction to dusty plasma (2002), Bristol, UK: IOP, Publishing, Bristol, UK · doi:10.1887/075030653X
[29] Bansal, S.; Aggarwal, M.; Gill, TS, Nonplanar ion acoustic waves in dusty plasma with two temperature electrons: Application to Saturn’s E ring, Phys. Plasmas, 27, 8 (2020) · doi:10.1063/5.0013015
[30] Maxon, S.; Viecelli, S., Cylindrical solitons, J. Phys. Fluids., 17, 1614 (1994) · doi:10.1063/1.1694941
[31] Nishida, Y.; Nagasawa, T.; Kawamata, S., Excitation of ion-acoustic rarefactive solitons in a two-electron-temperature plasma, Phys. Lett., 69, 19698 (1978)
[32] Chen, T.; Schott, L., Observation of diverging cylindrical solitons excited with a probe, Phys. Lett. A, 58, 7, 459-461 (1976) · doi:10.1016/0375-9601(76)90483-7
[33] Nakamura, Y.; Ooyama, M.; Ogino, T., Observation of spherical ion-acoustic solitons, Phys. Rev. Lett., 45 (1980) · doi:10.1103/PhysRevLett.45.1565
[34] Xue, JK, Cylindrical and spherical dust-ion acoustic shock waves, Phys. Plasmas, 10, 4893 (2003) · doi:10.1063/1.1622954
[35] Mamun, AA; Shukla, KP, Spherical and cylindrical dust acoustic solitary waves, Phys. Lett. A, 290, 173 (2001) · Zbl 1079.74565 · doi:10.1016/S0375-9601(01)00669-7
[36] Sahu, B.; Roychoudhury, R., Exact solutions of cylindrical and spherical dust ion acoustic waves, Phys. Plasmas, 10, 4162 (2003) · doi:10.1063/1.1605741
[37] Sahu, B.; Tribeche, M., Nonplanar electron acoustic shock waves in a plasma with electrons featuring Tsallis distribution, Phys. Plasmas, 19 (2012) · doi:10.1063/1.3684234
[38] Khan, SA; Mahmood, AS; Mirzad, A., Cylindrical and spherical dust ion-acoustic solitary waves in quantum plasmas, Phys. Lett. A, 372, 148 (2015) · Zbl 1217.82077 · doi:10.1016/j.physleta.2007.10.062
[39] Masood, W.; Imtiaz, N.; Siddiq, M., Ion acoustic shock waves in dissipative electron positron-ion plasmas with weak transverse perturbations, Phys. Scr., 80 (2009) · Zbl 1170.82387 · doi:10.1088/0031-8949/80/01/015501
[40] Demiray, H.; El-Zahar, RE, Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution, Phys. Plasmas, 25 (2018) · doi:10.1063/1.5021729
[41] Pakzad, RH, Dust acoustic shock waves in coupled dusty plasmas with kappa-distributed ions, Int. Scholarly Sci. Res. Innov., 5, 69-72 (2011)
[42] Pakzad, RH; Tribeche, M., Nonlinear propagation of ion-acoustic shock waves in dissipative electron-positron-ion plasmas with superthermal electrons and relativistic ions, J. Fusion Energy, 32, 171-176 (2013) · doi:10.1007/s10894-012-9543-3
[43] Kashkari, BS; El-Tantawy, SA; Salas, AH; El-Sherif, LS, Homotopy perturbation method for studying dissipative nonplanar solitons in an electronegative complex plasma, Chaos, Solitons Fractals, 130 (2020) · Zbl 1489.74031 · doi:10.1016/j.chaos.2019.109457
[44] Ghaffar, A.; Ali, A.; Ahmed, S.; Akram, S.; Junjua, MUD; Baleanu, D.; Nisar, KS, A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order, Adv. Differ. Equ., 2020, 1, 1-15 (2020) · Zbl 1485.35382 · doi:10.1186/s13662-020-02751-5
[45] Demiray, H., Analytical solution for nonplanar waves in a plasma with q-nonextensive nonthermal velocity distribution: weighted residual method, Chaos, Solitons Fractals, 130, 109448 (2020) · Zbl 1489.35274 · doi:10.1016/j.chaos.2019.109448
[46] Roy, S.; Kairi, RR; Raut, S., Cylindrical and Spherical Dust-Ion-Acoustic Shock Solitary Waves by Korteweg-de Vries-Burgers Equation, Braz. J. Phys., 51, 6, 1651-1660 (2021) · doi:10.1007/s13538-021-00960-1
[47] Roy, S.; Raut, S.; Kairi, RR, Nonlinear analysis of the ion-acoustic solitary and shock wave solutions for non-extensive dusty plasma in the framework of modified Korteweg-de Vries-Burgers equation, Pramana, 96, 2, 1-13 (2022) · doi:10.1007/s12043-022-02302-5
[48] Avazzadeh, Z.; Nikan, O.; Machado, JAT, Solitary wave solutions of the generalized Rosenau-KdV-RLW equation, Math., 8, 9, 1601 (2020) · doi:10.3390/math8091601
[49] Awawdeh, F.; Jaradat, MH; Al-Shara, S., Applications of a simplified bilinear method to ion-acoustic solitary waves in plasma, Eur. Phys. J. D, 66, 2, 40 (2012) · doi:10.1140/epjd/e2011-20518-0
[50] Schamel, H., Stationary solitary, snoidal and sinusoidal ion acoustic waves, Plasma Phys., 14, 10, 905 (1972) · doi:10.1088/0032-1028/14/10/002
[51] Schamel, H., A modified Korteweg-de Vries equation for ion acoustic wavess due to resonant electrons, J. Plasma Phys., 9, 3, 377-387 (1973) · doi:10.1017/S002237780000756X
[52] Hellberg, MA; Mace, RL, Generalized plasma dispersion function for a plasma with a kappa-Maxwellian velocity distribution, Phys. Plasmas, 9, 5, 1495-1504 (2002) · doi:10.1063/1.1462636
[53] Shishkina, E.; Sitnik, S., Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics (2020), Cambridge: Academic Press, Cambridge · Zbl 1454.35003
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