Abstract
The qualitative structures of electron-acoustic waves are investigated in an unmagnetized plasma containing cold electron fluid, q-nonextensive hot electrons and stationary ions. Applying the phase plane analysis, we present all phase portraits of the dynamical system and corresponding solitary- and periodic-wave solutions. Considering an external periodic perturbation, we study the chaotic structure of the perturbed dynamical system. The non-extensive parameter (q), the ratio between hot electron and cold electron number density at equilibrium (α) and speed of the traveling wave (v) play crucial roles for electron-acoustic solitary, periodic and chaotic structures. The results may have relevance in laboratory plasmas as well as space plasma environments.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
T.H. Stix, Waves in Plasmas (AIP publishing, New York, 1992).
A.A. Mamun, P.K. Shukla, J. Geophys. Res. 107, 1135 (2002).
W.F. El-Taibany, W.M. Moslem, Phys. Plasmas 12, 032307 (2005).
P.K. Shukla, A.A. Mamun, B. Eliasson, Geophys. Res. Lett. 31, L07803 (2004).
M. Shalaby, S.K. El-Labany, R. Sabry, L.S. El-Sherif, Phys. Plasmas 18, 062305 (2011).
M.G. Anowar, A.A. Mamun, Phys. Plasmas 15, 102111 (2008).
B. Sahu, Phys. Scr. 82, 065504 (2010).
B.D. Fried, R.W. Gould, Phys. Fluids 4, 139 (1961).
R.L. Tokar, S.P. Gray, Geophys. Res. Lett. 11, 1180 (1984).
S.V. Singh, R.V. Reddy, G.S. Lakhina, Adv. Space. Res. 28, 1643 (2001).
D. Schriver, M. Ashour-Abdalla, Geophys. Res. Lett. 16, 899 (1989).
R. Pottelette, R.E. Ergun, R.A. Treumann, M. Berthomier, C.W. Carlson, J.P. McFadden, I. Roth, Geophys. Res. Lett. 26, 2629 (1999).
N. Dubouloz, R. Pottelette, M. Malingre, G. Holmgren, P.A. Lindqvist, J. Geophys. Res. 96, 3565 (1991).
N. Dubouloz, R.A. Trueman, R. Pottelette, M. Malingre, J. Geophys. Res. 98, 17415 (1993).
M. Berthomier, R. Pottelette, L. Muschietti, I. Roth, C.W. Carlson, Geophys. Res. Lett. 30, 2148 (2003).
G.S. Lakhina, A.P. Kakad, S.V. Singh, F. Verheest, Phys. Plasmas 15, 062903 (2008).
G.S. Lakhina, S.V. Singh, A.P. Kakad, F. Verheest, R. Bharuthram, Nonlinear Proc. Geophys. 15, 903 (2008).
F. Anderegg, C.F. Driscoll, D.H.E. Dubin, T.M. ONeil, F. Valentini, Phys. Plasmas 16, 055705 (2009).
D.S. Montgomery, R.J. Focia, H.A. Rose, D.A. Russell, J.A. Cobble, J.C. Fernndez, R.P. Johnson, Phys. Rev. Lett. 87, 155001 (2001).
A.A. Kabantsev, F. Valentini, C.F. Driscoll, AIP Conf. Proc. 862, 13 (2006).
C. Tsallis, in New Trends in Magnetism, Magnetic Materials and Their Applications, edited by J.L. Moran-Lopez, J.M. Sanchez (Plenum Press, New York, 1994) p. 451.
C. Tsallis, Chaos Solitons Fractals 6, 539 (1995).
C. Tsallis, J. Stat. Phys. 52, 479 (1988).
J.A.S. Lima, R. Silva, J. Santos, Phys. Rev. E 61, 3260 (2000).
V. Muoz, Nonlin. Process. Geophys. 13, 237 (2006).
V. Latora, A. Rapisarda, C. Tsallis, Phys. Rev. E 64, 056134 (2001).
A. Taruya, M. Sakagami, Phys. Rev. Lett. 90, 181101 (2003).
F. Verheest, T. Cattaert, M.A. Hellberg, Space Sci. Rev. 121, 299 (2005).
H. Derfler, T.C. Simonen, Phys. Fluids 12, 269 (1969).
S. Ikezawa, Y. Nakamura, J. Phys. Soc. Jpn. 50, 962 (1981).
M. Yu, P.K. Shukla, J. Plasma Phys. 29, 409 (1983).
S.P. Gary, R.L. Tokar, Phys. Fluid 28, 2439 (1985).
R.L. Mace, S. Baboolal, R. Bharuthram, M.A. Hellberg, J. Plasma Phys. 45, 323 (1991).
A. Mannan, A.A. Mamun, Astrophys. Space Sci. 340, 109 (2012).
W. Masood, H.A. Shah, J. Fusion Energy 22, 201 (2003).
M. Ferdousi, A.A. Mamun, Braz. J. Phys. 45, 89 (2015).
S.A. El-Wakil, E.M. Abulwafa, E.K. El-shewy, A.A. Mahmoud, Astrophys. Space Sci. 333, 269 (2011).
K. Nozaki, N. Bekki, Phys. Rev. Lett. 50, 1226 (1983).
G.P. Williams, Chaos Theory Tamed (Joseph Henry, Washington, 1997).
W. Beiglbock, J.P. Eckmann, H. Grosse, M. Loss, S. Smirnov, L. Takhtajan, J. Yngvason, Concepts and Results in Chaotic Dynamics (Springer, Berlin, 2000).
U.K. Samanta, A. Saha, P. Chatterjee, Phys. Plasma 20, 052111 (2013).
A. Saha, P. Chatterjee, Astrophys. Space Sci. 349, 239 (2014).
A. Saha, P. Chatterjee, Astrophys. Space Sci. 353, 163 (2014).
B. Sahu, S. Poria, R. Roychoudhury, Astrophys. Space Sci. 341, 567 (2012).
B. Sahu, EPL 101, 55002 (2013).
A. Saha, N. Pal, P. Chatterjee, Phys. Plasma 21, 102101 (2014).
A. Saha, N. Pal, P. Chatterjee, Braz. J. Phys. 45, 325 (2015).
H. Zhen, B. Tian, Y. Wang, W. Sun, L. Liu, Phys. Plasma 21, 073709 (2014).
M. Tribeche, R. Amour, P.K. Shukla, Phys. Rev. E 85, 037401 (2012).
F. Verheest, Waves in Dusty Plasmas (Kluwer Academic, Dordrecht, 2000).
A. Saha, Commun. Nonlinear Sci. Numer. Simulat. 17, 3539 (2012).
J. Guckenheimer, P.J. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983).
S.N. Chow, J.K. Hale, Method of Bifurcation Theory (Springer-Verlag, New York, 1981).
P.F. Byrd, M.D. Friedman, Handbook of elliptic integrals for engineer and scientists (Springer, New York, 1971).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Saha, A., Chatterjee, P. Qualitative structures of electron-acoustic waves in an unmagnetized plasma with q-nonextensive hot electrons. Eur. Phys. J. Plus 130, 222 (2015). https://doi.org/10.1140/epjp/i2015-15222-2
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2015-15222-2