Abstract
A rigorous theoretical investigation has been made on the nonlinear structures, mainly, dust-acoustic (DA) solitary and shock waves propagating in a strongly coupled dusty plasma consisting of strongly coupled correlated positively and negatively charged inertial cold dust fluid, weakly correlated inertialess Maxwellian electron and ion fluids. The presence of arbitrary (negative and positive) charged dust grains in such a plasma system causes the presence opposite potentials (positive and negative) DA solitary and shock structures and significantly modify it’s basic features. The results obtained from this analysis can be employed in understanding the nature of plasma waves both in laboratory and space plasma system.
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References
Alinejad, H.: Astrophys. Space Sci. 327, 131 (2010)
Alinejad, H.: Astrophys. Space Sci. 334, 331 (2011)
Amour, R., Tribeche, M., Zerguini, T.H.: Astrophys. Space Sci. 338, 57 (2012)
Anowar, M.G.M., Rahman, M.S., Mamun, A.A.: Phys. Plasmas 16, 053704 (2009)
Asrafi, K.A., Mamun, A.A., Shukla, P.K.: Europhys. Lett. 92, 15004 (2010)
Bains, A.S., Tribeche, M., Ng, C.S.: Astrophys. Space Sci. 343, 621 (2012)
Berkovsky, M.A.: Phys. Lett. A 166, 365 (1992)
D’Angelo, N.: Planet. Space Sci. 49, 1251 (2001)
El-Awady, E.I., Djebli, M.: Astrophys. Space Sci. 342, 105 (2012)
El-Labany, S.K., El-Shamy, E.F., El-Sherbeny, S.K.: Astrophys. Space Sci. 340, 93E (2012a)
El-Labany, S.K., El-Taibany, W.F., El-Fayoumy, M.M.: Astrophys. Space Sci. 340, 527 (2012b)
El-Labany, S.K., El-Shamy, E.F., El-Eneen, M.A.: Astrophys. Space Sci. 337, 275 (2012c)
El-Shewy, E.K., Abo el Maaty, M.I., Abdelwahed, H.G., Elmessary, M.A.: Astrophys. Space Sci. 332, 179 (2011)
Elwakil, S.A., Elgarayhi, A., El-Shewy, E.K., Mahmoud, A.A., El-Attafi, M.A.: Astrophys. Space Sci. 343, 661 (2013)
Ghorui, M.K., Chatterjee, P., Wong, C.S.: Astrophys. Space Sci. 343, 639 (2013)
Ichimaru, S., Iyetomi, H., Tanaka, S.: Phys. Rep. 149, 91 (1987)
Ikezi, H.: Phys. Fluids 29, 1764 (1986)
Karpman, V.T.: Nonlinear Waves in Dispersive Media, pp. 101–105. Pergamon Press, Oxford (1975)
Kaw, P.K., Sen, A.: Phys. Plasmas 5, 3552 (1998)
Kundu, S.K., Chatterjee, P., Ghosh, U.N.: Astrophys. Space Sci. 340, 87 (2012)
Mamun, A.A.: Astrophys. Space Sci. 268, 443 (1999)
Mamun, A.A.: Phys. Lett. A 372, 686 (2008a)
Mamun, A.A.: Phys. Rev. E 77, 026406 (2008b)
Mamun, A.A., Cairns, R.A.: Phys. Rev. E 79, 055401(R) (2009)
Mamun, A.A., Shukla, P.K.: Phys. Lett. A 290, 173 (2001)
Mamun, A.A., Shukla, P.K.: Geophys. Res. Lett. 29, 1870 (2002)
Mamun, A.A., Shukla, P.K.: Europhys. Lett. 87, 2500 (2009a)
Mamun, A.A., Shukla, P.K.: New J. Phys. 11, 103022 (2009b)
Mamun, A.A., Caris, R.A., Shukla, P.K.: Phys. Plasmas 3, 702 (1996)
Marif, H., Djebli, M.: Astrophys. Space Sci. 337, 605 (2012)
Maxon, S., Viecelli, J.: Phys. Rev. Lett. 32, 4 (1974)
Mendis, D.A., Horanyi, M.: Comet. Plasma Proc. 38, 543 (1990)
Mendis, D.A., Rosenberg, M.: Annu. Rev. Astron. Astrophys. 32, 32 (1994)
Pakzad, H.R.: Astrophys. Space Sci. 330, 30 (2010)
Rahman, A., Mamun, A.A., Khurshed Alam, S.M.: Astrophys. Space Sci. 315, 243 (2008)
Rahman, O., Mamun, A.A., Ashrafi, K.S.: Astrophys. Space Sci. 335, 425 (2011)
Rao, N.N., Shukla, P.K., Yu, M.Y.: Planet. Space Sci. 38, 543 (1990)
Rosenberg, M., Mendis, D.A.: IEEE Trans. Plasma Sci. 23, 177 (1995)
Rosenberg, M., Mendis, D.A., Sheehan, D.P.: IEEE Trans. Plasma Sci. 27, 239 (1999)
Shahmansouri, M., Alinejad, H.: Astrophys. Space Sci. 343, 257 (2013a)
Shahmansouri, M., Alinejad, H.: Astrophys. Space Sci. 343, 251 (2013b)
Shahmansouri, M., Tribeche, M.: Astrophys. Space Sci. 413 (2012)
Shukla, P.K.: Phys. Plasmas 11, 3676 (2004)
Shukla, P.K., Eliasson, B.: Rev. Mod. Phys. 81, 23 (2009)
Shukla, P.K., Mamun, A.A.: IEEE Trans. Plasma Sci. 29, 221 (2001)
Shukla, P.K., Rosenberg, M.: Phys. Scr. 73, 196 (2005)
Tribeche, M., Benzekka, M.: Astrophys. Space Sci. 331, 619 (2011)
Washimi, H., Taniuti, T.: Phys. Rev. Lett. 17, 996 (1996)
Zheng, X.H., Earnshaw, J.C.: Phys. Rev. Lett. 75, 4214 (1995)
Zobaer, M.S., Roy, N., Mamun, A.A.: Astrophys. Space Sci. 343, 675 (2013)
Acknowledgements
We are always grateful to our ‘GURU’ of Modern Plasma Physics, Late Prof. Dr. P.K. Shukla. We are also thankful to the respective reviewers for their kind suggests to improve the quality of our paper.
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Zobaer, M.S., Nahar, L., Mukta, K.N. et al. K-dV and Burgers’ equations on DA waves with strongly coupled dusty plasma. Astrophys Space Sci 346, 351–357 (2013). https://doi.org/10.1007/s10509-013-1454-x
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DOI: https://doi.org/10.1007/s10509-013-1454-x