Abstract
The nonlinear propagation and interaction of dust acoustic multi-soliton in a four component dusty plasma which consists of negatively and positively charged cold dust fluids, q-nonextensive velocity distributed electrons and ions, have been studied. Applying reductive perturbation technique (RPT), we have derived Korteweged-de Vries (KdV) equation for our model. By using Hirota bilinear method, we have obtained two-soliton and three-soliton solutions of the obtained KdV equation. Phase shifts of two-soliton and three-soliton have been presented. It has been observed that the parameters α 1, α 2, nonextensive parameter q, temperature ratio of ion to electron (σ), and μ play a crucial role in the formation of two-soliton and three-soliton. The implications of our results in understanding the localized nonlinear electrostatic perturbations observed in double-plasma machines, Cometary tails, Jupiter’s magnetosphere etc., where population of q-nonextensive velocity distributed electrons and ions can significantly dominate the wave dynamics, are also briefly discussed.
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Bains, A.S., Tribeche, M., Gill, T.S.: Phys. Plasmas 18, 022108 (2011)
Chatterjee, P., Kundu, S.K.: Indian J. Phys. 82, 4 (2008a)
Chatterjee, P., Roy, K.: Z. Naturforsch. A 63, 393 (2008b)
Chow, V.W., Mendis, D.A., Rosenberg, M.: J. Geophys. Res. 98, 19065 (1993)
D’Angelo, N.: Physica D, Appl. Phys. 28, 1009 (1995)
Drazin, P.G., Johnson, R.S.: Solitons, An Introduction. Cambridge University Press, Cambridge (1993)
Duan, W.S., Lu, K.P., Zhao, J.B.: Phys. Lett. 18, 1088 (2001)
Ellis, T.A., Neff, J.S.: Icarus 91, 280 (1991)
Fortov, V.E.: J. Exp. Theor. Phys. 87, 1087 (1998)
Havnes, O., Trøim, J., Blix, T., Mortensen, W., Naecheim, L.I., Thrane, E., Tønnesen, T.: J. Geophys. Res. 101, 10839 (1996)
Hirota, R.: Phys. Rev. Lett. 27, 1192 (1971)
Horanyi, M.: Annu. Rev. Astron. Astrophys. 34, 383 (1996)
Horanyi, M., Morfil, G.E., Grun, E.: Nature 363, 144 (1993)
Mamun, A.A.: Astrophys. Space Sci. 268, 443 (1999)
Mandal, G., Roy, K., Chatterjee, P.: Indian J. Phys. 83(3), 365 (2009)
Melandso, F.: Phys. Plasmas 3, 3890 (1996)
Merlino, R.L., Barkan, A., Thompson, C., D’Angelo, N.: Phys. Plasmas 5, 1607 (1998)
Nakamura, Y., Bailung, H., Shukla, P.K.: Phys. Rev. Lett. 83, 1602 (1999)
Pakzad, H.R.: Phys. Lett. A 373, 847 (2009)
Rao, N.N., Shukla, P.K., Yu, M.: Planet. Space Sci. 28, 543 (1990)
Renyi, A.: Acta Math. Hung. 6, 285 (1955)
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)
Roy, K., Saha, T., Chatterjee, P.: Astrophys. Space Sci. 342, 125 (2012)
Roy, K., Maji, T.K., Ghorui, M.K., Chatterjee, P., Roychoudhury, R.: Astrophys. Space Sci. (2014). doi:10.1007/s10509-014-1906-y
Saha, A.: Commun. Nonlinear Sci. Numer. Simul. 17, 3539 (2012)
Saha, A., Chatterjee, P.: Astrophys. Space Sci. 349, 239 (2014a)
Saha, A., Chatterjee, P.: Astrophys. Space Sci. 350, 631 (2014b)
Saha, A., Chatterjee, P.: J. Plasma Phys. (2014c). doi:10.1017/S0022377814000087
Saha, A., Chatterjee, P.: Astrophys. Space Sci. 351, 533 (2014d)
Saha, A., Chatterjee, P.: Phys. Plasmas 21, 022111 (2014e)
Sahu, B.: Europhys. Lett. 101, 55002 (2013)
Sahu, B., Roychoudhury, R.: Astrophys. Space Sci. 345, 91 (2013)
Samanta, U.K., Saha, A., Chatterjee, P.: Phys. Plasmas 20, 052111 (2013a)
Samanta, U.K., Saha, A., Chatterjee, P.: Phys. Plasmas 20, 022111 (2013b)
Samanta, U.K., Saha, A., Chatterjee, P.: Astrophys. Space Sci. 347, 293 (2013c)
Sayed, F., Mamun, A.A.: Phys. Plasmas 14, 014501 (2007)
Shukla, P.K., Slin, V.P.: Phys. Scr. 45, 508 (1992)
Shukla, P.K., Varma, R.K.: Phys. Fluids B 5, 236 (1993)
Shukla, P.K., Rao, N.N., Yu, M.Y., Tsintsa, N.L.: Phys. Rep. 135, 1 (1986)
Shukla, P.K., Yu, M.Y., Bharuthram, R.: J. Geophys. Res. 96, 21343 (1992)
Tsallis, C.: J. Stat. Phys. 52, 479 (1988)
Verheest, F.: Waves in Dusty Space Plasmas. Kluwer Academic, Dordrecht (2000)
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This work is partially supported by DST, India under (D.O. no: SR/S2/HEP-32/2012).
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Saha, A., Chatterjee, P. Propagation and interaction of dust acoustic multi-soliton in dusty plasmas with q-nonextensive electrons and ions. Astrophys Space Sci 353, 169–177 (2014). https://doi.org/10.1007/s10509-014-2028-2
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DOI: https://doi.org/10.1007/s10509-014-2028-2