Abstract
The propagation of nonlinear waves in a quantum plasma is studied. A quantum magnetohydrodynamic (QHD) model is used to take into account the effects of quantum force associated with the Bohm potential. Using the standard reductive perturbation technique, nonlinear Kadomtsev-Petviashvili (KP) equation is obtained to study the properties of ion acoustic waves (IAWs). For such waves the amplitude of the solitary waves is independent of the quantum parameter H (the ratio of the electron plasmon to electron Fermi energy), whereas the width and energy of the soliton increases with H.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Acona, M.G., Iafrate, G.J.: Phys. Rev. B 39, 9536 (1989)
Cairns, R.A., Mamun, A.A., Bingham, R., Shukla, P.K.: Phys. Scr. T 63, 80 (1996)
Chabrier, G., Douchin, F., Potekhin, A.Y.: J. Phys. Condens. Matter 14, 9133 (2002)
Chen, Z., Cockburn, B., Gardner, C., Jerome, J.: J. Comput. Phys. 117, 274 (1995)
Duan, W.S., Wang, B.R., Wei, R.J.: Phys. Lett. A 224, 154 (1997)
El-Shewy, E.K., Abo el Maaty, M.I., Abdelwahed, H.G., Elmessary, M.A.: Astrophys. Space Sci. 332, 179 (2011)
Gardner, C., Jerome, J., Rose, D.: IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 8, 501 (1989)
Gardner, C.: IEEE Trans. Electron Devices 38, 392 (1991)
Gardner, C.: J. Soc. Ind. Appl. Math. 54, 409 (1994)
Gardner, C., Ringhofer, C.: VLSI Des. 10, 415 (2000)
Gasser, I., Markowich, P.A.: Asymptot. Anal. 14, 97 (1997)
Gasser, I., Lin, C.K., Markowich, P.: Taiwan. J. Math. 4, 501 (2000)
Gill, T.S., Nareshpal, S.S., Harvinder, K.: Chaos Solitons Fractals 28, 1106 (2006)
Haas, F., Garcia, L.G., Goedert, J., Manfredi, G.: Phys. Plasmas 10, 3858 (2003)
Hashimoto, H., Ono, H.: J. Phys. Soc. Jpn. 33, 605 (1972)
Ikeji, H., Taylor, R.J., Baker, D.: Phys. Rev. Lett. 25, 11 (1970)
Jung, Y.D.: Phys. Plasmas 8, 3842 (2001)
Konotop, V.V.: Phys. Rev. E 53, 2843 (1996)
Kremp, D., Bornath, Th., Bonitz, M., Schlanges, M.: Phys. Rev. E 60, 4725 (1999)
Lin, M., Duan, W.: Chaos Solitons Fractals 23, 929 (2005)
Mahmood, S., Saleem, H.: Phys. Plasmas 9, 724 (2002)
Malik, H.K., Singh, S., Dahiya, R.P.: Phys. Lett. A 195, 369 (1994)
Manfredi, G., Feix, M.R.: J. Plasma Phys. 53, 6460 (1996)
Manfredi, G., Hass, F.: Phys. Rev. B 64, 075316 (2001)
Markowich, P.A., Ringhofer, C.A., Schmeiser, C.: Semiconductor Equations. Springer, Vienna (1990)
Opher, M., Silva, L.O., Dauger, D.E., Decyk, V.K., Dawson, J.M.: Phys. Plasmas 8, 2454 (2001)
Pakzad, H.R.: Chaos Solitons Fractals 42, 874 (2009)
Pakzad, H.R.: Astrophys. Space Sci. 326, 69 (2010)
Suh, N., Feix, M.R., Bertrand, P.: J. Comput. Phys. 94, 403 (1991)
Yoshimura, K., Watanabe, S.: J. Phys. Soc. Jpn. 60, 82 (1991)
Zhou, J.R., Ferry, D.K.: IEEE Trans. Electron Devices 40, 421 (1993)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sahu, B., Ghosh, N.K. Kadomstev-Petviashvili solitons in quantum plasmas. Astrophys Space Sci 343, 289–292 (2013). https://doi.org/10.1007/s10509-012-1246-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-012-1246-8