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Dust Acoustic Solitary Waves in a Five Component Plasma-Application to Comets

Neethu Theresa Willington, Sijo Sebastian, Chandu Venugopal


We have studied the characteristics of the Dust Acoustic Solitary Wave (DASW) in a five component cometary plasma composed of two components of electrons (one hotter and one colder), hydrogen ions and a pair of oppositely charged dust particles (heavier ions). The Korteweg – deVries wave equation has been derived for the system and its solitary wave solution obtained. The dust acoustic solitary wave amplitude is almost a constant with varying temperatures of the hot electron component but decreases with increasing hydrogen ion densities. A comparison with a complementary nonlinear wave, the Dust Ion Acoustic Solitary Wave, has also been made.


Keywords: Dust acoustic solitary wave, KdV equation, kappa distributed ions and electrons

Cite this Article

Neethu Theresa Willington, Sijo Sebastian, Chandu Venugopal. Dust Acoustic Solitary Waves in a Five Component Plasma-Application to Comets. Research & Reviews: Journal of Physics. 2019; 8(2): 44–51p.


Dust acoustic solitary wave, K-dV equation, kappa distributed ions and electrons.

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Rao NN, Shukla PK, Yu MY. Dust -acoustic waves in dusty plasmas. Planet Space Sci. 1990; 38(4): 543-46p.

doi: 10.1016/0032-0633(90)90147-I

Shukla PK, Silin VP. Dust ion-acoustic wave. Phys Scripta 1992; 45(5): 508-8p.

doi: 10.1088/0031-8949/45/5/015

Melandso F. Lattice waves in dust plasma crystals. Phys Plasmas 1986; 3(11): 3890-1p.

doi: 10.1063/1.871577

Shukla PK, Verma RK. Convective cells in non-uniform dusty plasmas. Phys Fluids B 1993; 5(1): 236-7p.

doi: 10.1063/1.860864

Nakamura Y, Ferreira JL, Ludwig GO. Experiments on ion-acoustic rarefactive solitons in a multi-component plasma with negative ions. J Plasma Physics 1985; 33(2): 237-48p.

doi: 10.1017/S0022377800002476

Roychondhury R, Maitra S. Pseudopotential approach to nonlinear dust acoustic waves in dusty plasma. Phys Plasmas 2002; 9(10): 4160-5p.

doi: 10.1063/1.1505640

Ghosh S, Sarkar S, Khan M, et al. Dust ion acoustic shock waves in a collisionless dusty plasma. Phys Lett A 2000; 274(3-4): 162-9p.

doi: 10.1016/S0375-9601(00)00537-5

Barkan A, Merlino RL, D’Angelo N. Laboratory observation of the dust acoustic wave mode. Phys Plasmas 1995; 2(10): 3563-5p.

doi: 10.1063/1.871121

Mendis DA, Rosenberg M. Cosmic dusty plasma. Annu Rev Astron Astrophys. 1994; 32: 419-63p.

doi: 10.1146/annurev.aa.32.090194.002223

Vladmirov SV, Ostrikov K. Dynamic self-organization phenomena in complex ionized gas systems: new paradigms and technological aspects. Phys Rep. 2004; 393(3-6): 175-380p.

doi: 10.1016/j.physrep.2003.12.003

Verheest F. Waves and Instabilities in Dusty Space Plasmas. Space Sci Rev. 1996; 77(3-4): 267-302p.

doi: 10.1007/BF00226225

Zakharov VE, Kuznetsov EA. Three-dimensional solitons. Sov Phys JETP 1974; 39(2): 285-6p.

Washimi H, Tanuiti T. Propagation of ion-acoustic solitary waves of small amplitude. Phys Rev Lett. 1996; 17(19): 996-8p.

doi: 10.1103/PhysRevLett.17.996

Lin M-M, Duan W-S. Dust acoustic solitary waves in a dusty plasmas with nonthermal ions. Chaos, Solitons, Fractals 2007; 33(4): 1189-96p.

doi: 10.1016/j.chaos.2006.01.065

Dorranian D, Sabetkar A. Dust acoustic solitary waves in a dusty plasma with two kinds of nonthermal ions at different temperatures. Phys Plasmas 2012; 19(1): 013702.

doi: 10.1063/1.3675883

Mendoza – Briceno CA , Russel SM, Mamun AA. Large amplitude electrostatic solitary structures in a hot non-thermal dusty plasma. Planet Space Sci. 2000; 48(6): 599-608p.

doi: 10.1016/S0032-0633(00)00029-5

Gill TS, Kaur H, Saini NS. Dust-acoustic solitary waves in a finite temperature dusty plasma with variable dust charge and two temperature ions. J Plasma Phys. 2004; 70(4): 481-95p.

doi: 10.1017/S0022377803002733

Sayed F, Mamun AA. Dust-acoustic Korteweg-de Vries solitons in an adiabatic hot dusty plasma. Phys Plasmas 2007; 14(1): 014502.

doi: 10.1063/1.2430520

Shahmoradi N, Dorranian D. Effects of variable dust size, charge and mass on the characteristics of dust acoustic solitary waves in a magnetized dusty plasma. Phys Scr. 2014; 89(6): 065602.

doi: 10.1088/0031-8949/89/6/065602

Sabetkar A, Dorranian D. Effect of obliqueness and external magnetic field on the characteristics of dust acoustic solitary waves in dusty plasma with two-temperature non-thermal ions. J Ther Appl Phys. 2015; 9(2): 141-50p.

doi: 10.1007/s40094-015-0172-x

Grecu A, Grecu D. Dust acoustic solitons in a dusty plasma with

dust particle charge variation. Phys AUC 2008; 18: 178-87p.

Wang Z-X, Wang X, Ren Li-W, et al. Dust-acoustic soliton in electronegative complex plasmas with streaming positive ions. Phys Plasmas 2005; 12(8): 082104.

doi: 10.1063/1.1995607

Liu J, Ma. J. Dust-acoustic soliton in a streaming plasma. Chinese Phys Lett. 1997; 14(6): 432-5p.

Chatterjee P, Das B, Wong CS. Dust acoustic solitary waves in a dusty plasma with variable dust charge and an arbitrary streaming ion beam. Ind J Phys. 2012; 86(6): 529-33p.

doi: 10.1007/s12648-012-0074-6

El-Hanbaly AM, El- Shewy EK, Sallah M, et al. Linear and nonlinear analysis of dust acoustic waves in dissipative space dusty plasmas with trapped ions. J Theor Appl Phys. 2015; 9(3): 167-76p.

doi: 10.1088/0253-6102/65/5/606

Misra AP, Wang Y. Dust-acoustic solitary waves in a magnetized dusty plasma with nonthermal electrons and trapped ions. Commun Nonlinear Sci Numer Simulat. 2015; 22(1-3): 1360-9p.

Rahman O, Bhuyan MDI, Haiden MM, et al. Dust-acoustic solitary waves in an unmagnetized dusty plasma with arbitrarily charged dust fluid and trapped ion distribution. Int J of Astron Astrophys. 2014; 4(1):119-27p.

doi: 10.4236/ijaa.2014.41011.

El- Taibany WF. Nonlinear dust acoustic waves in inhomogeneous four-component dusty plasma with opposite charge polarity dust grains. Phys Plasmas 2013; 20(9): 093701.

doi: 10.1063/1.4820939

Pakzad HR. Dust acoustic shock waves in coupled dusty plasmas with kappa-distributed ions. Int J of Mathematical, Computational, Physical, Electrical and Computer Engg. 2011; 5(1): 69-72p.

Emamuddin M, Mamun AA. Dust-acoustic shock waves in a dusty plasma with non-thermal ions and super-thermal electrons. Phys Plasmas 2018; 25(1): 013708p.

doi: 10.1063/1.5009496

Brinca AL, Tsurutani BT. Unusual characteristics of the electromagnetic waves excited by cometary newborn ions with large perpendicular energies. Astron Astrophys. 1987; 187(1-2): 311-19p.

doi: 10.1007/978-3-642-82971-0_57

Balsiger H, Altwegg K , Buhler F, et al. Ion composition and dynamics at comet Halley. Nature 1986; 321: 330-4p.

doi: 10.1038/321330a0

Rubin M, Hansen KC, Gombosi TI, et al. Ion composition and chemistry in the coma of Comet 1 P/Halley- A comparison between Giotto’s Ion Mass Spectrometer and our ion-chemical network. Icarus 2009; 199(2): 505-19p.

doi: 10.1016/j.icarus.2008.10.009

Chaizy P, Reme H, Sauvaud JA, et al. Negative ions in the coma of comet Halley. Nature 1991; 349: 393-6p.

doi: 10.1038/349393a0

Ellis TA, Neff JS. Numerical simulation of the emission and motion of neutral and charged dust from P/Halley. Icarus 1991; 91(2): 280-96p.

doi: 10.1016/0019-1035(91)90025-O

Horanyi M, Mendis DA. Trajectories of charged dust grains in the cometary environment. Astrophys J. 1985; 294(1): 357-68p.

doi: 10.1086/163303

Zwickl RD, Baker DN, Bame SJ, et al. Three component plasma electron composition in the intermediate ionized coma of comet Giacobini- Zinner. Geophys Res Lett. 1986; 13(4): 401-4p.

doi: 10.1029/GL013i004p00401

Bharadwaj A. On the solar EUV deposition in the inner comae of comets with large gas production rates. Geophys Res Lett. 2003; 30(24): 2244.

doi: 10.1029/2003GL018495

Broiles TW, Livadiotis G, Burch JL, et al. Characterizing cometary electrons with kappa distributions. J Geophys Res. 2016; 121(8): 7407–22p.

doi: 10.1002/2016JA022972

Kolebaje O, Oyewande O. Numerical solution of the korteweg-deVries equation by finite difference and Adomian decomposition method. Instl J Basic Appl Sci. 2012; 1(3): 321-35p.

Sijo S, Manesh M, Sreekala G, et al. Oblique dust ion acoustic solitary waves in a five component plasma. Phys Plasmas 2015; 22(12): 123704.

doi: 10.1063/1.4937782


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