Abstract
Bifurcation behavior of nonlinear dust ion acoustic travelling waves in a magnetized quantum dusty plasma has been studied. Applying the reductive perturbation technique (RPT), we have derived a Kadomtsev-Petviashili (KP) equation for dust ion acoustic waves (DIAWs) in a magnetized quantum dusty plasma. By using the bifurcation theory of planar dynamical systems to the KP equation, we have proved that our model has solitary wave solutions and periodic travelling wave solutions. We have derived two exact explicit solutions of the above travelling waves depending on different parameters.
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References
Agrawal, G.: Nonlinear Fibre Optics. Academic, San Diego (1995)
Ang, L.K., Kwan, T.J.T., Lau, Y.Y.: Phys. Rev. Lett. 91, 208303 (2003)
Ang, L.K., Lau, Y.Y., Kwan, T.J.T.: IEEE Trans. Plasma Sci. 32, 410 (2004)
Barken, A., Angelo, N.D., Merlino, R.L.: Planet. Space Sci. 44, 239 (1996)
Chabrier, G., Douchin, F., Potekhin, A.Y.: J. Phys. Condens. Matter 14, 9133 (2002)
Chow, S.N., Hale, J.K.: Method of Bifurcation Theory. Springer, New York (1981)
EI-Shewy, E.K., Abo, M.I.M., Abdelwahed, H.G., Elmessary, M.A.: Astrophys. Space Sci. 332, 179 (2011)
Faria, R.T., Farid, T., Shukla, P.K., Sakanaka, P.H.: Phys. Plasmas 6, 2950 (1999)
Ghorui, M.K., Chatterjee, P., Wong, C.S.: Astrophys. Space Sci. (2012). doi:10.1007/s10509-012-1276-2
Guckenheimer, J., Holmes, P.J.: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer, New York (1983)
Hass, F., Garcia, L.G., Goedert, J., Manfredi, G.: Phys. Plasmas 10, 3858 (2003)
Hass, F., Eliasson, B., Shukla, P.K.: Phys. Rev. E 85, 056411 (2012)
Jung, Y.D.: Phys. Plasmas 8, 3842 (2001)
Manfredi, G., Feix, M.R.: J. Plasma Phys. 53, 6460 (1996)
Manfredi, G., Haas, F.: Phys. Rev. B 64, 075316 (2001)
Markowhich, P.A., Ringhofer, C.A., Schmeiser, C.: Semiconductor Equations. Springer, Berlin (1990)
Pakzad, H.R.: Astrophys. Space Sci. 326, 69 (2010)
Saha, T., Chatterjee, P.: Phys. Plasmas 16, 013707 (2009)
Saha, T., Chatterjee, P., Amin, M.R.: Z. Naturforsch. 64a, 370–376 (2009)
Sahu, B., Ghosh, N.K.: Astrophys. Space Sci. 343, 289–292 (2013)
Sahu, B., Poria, S., Ghosh, U.D., Roychoudhury, R.: Phys. Plasmas 19, 052306 (2012)
Sahu, B., Poria, S., Roychoudhury, R.: Astrophys. Space Sci. (2012). doi:10.1007/s10509-012-1130-6
Samanta, U.K., Saha, A., Chatterjee, P.: Phys. Plasmas 20, 022111 (2013)
Shpatakovskaya, G.V.: J. Exp. Theor. Phys. 102, 466 (2006)
Shukla, P.K., Eliasson, B.: Phys. Rev. Lett. 100, 036801 (2008)
Shukla, P.K., Silin, V.P.: Phys. Sci. 45, 508 (1992)
Suh, N., Feix, M.R., Bertrand, P.: J. Comput. Phys. 94, 403 (1991)
Acknowledgement
This work is partially supported by DST, India under (D.O. No. SR/S2/HEP-32/2012).
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Samanta, U.K., Saha, A. & Chatterjee, P. Bifurcations of dust ion acoustic travelling waves in a magnetized quantum dusty plasma. Astrophys Space Sci 347, 293–298 (2013). https://doi.org/10.1007/s10509-013-1529-8
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DOI: https://doi.org/10.1007/s10509-013-1529-8