A theoretical study on the nonlinear propagation of nonplanar (cylindrical and spherical) dust ion-acoustic solitary waves (DIASW) is carried out in a dusty plasma, whose constituents are inertial ions, superthermal electrons, and charge fluctuating stationary dust particles. Using the reductive perturbation theory, a modified Korteweg-de Vries equation is derived. It is shown that the propagation characteristics of the cylindrical and spherical DIA solitary waves significantly differ from those of their one-dimensional counterpart.
References
1.
P. K.
Shukla
, Phys. Plasmas
8
, 1791
(2001
).2.
A.
Barkan
, R. L.
Merlino
, and N.
D'Angelo
, Phys. Plasmas
2
, 3563
(1995
).3.
A.
Barkan
, N.
D'Angelo
, and R. L.
Merlino
, Planet. Space Sci.
44
, 239
(1996
).4.
P. K.
Shukla
and V. P.
Silin
, Phys. Scr.
45
, 508
(1992
).5.
Y.
Nakamura
, H.
Bailung
, and P. K.
Shukla
, Phys. Rev. Lett.
83
, 1602
(1999
).6.
V. M.
Vasyliunas
, J. Geophys. Res.
73
, 2839
, doi: (1968
).7.
M. P.
Leubner
, J. Geophys. Res.
87
, 6335
, doi: (1982
).8.
R. L.
Mace
and M. A.
Hellberg
, Phys. Plasmas
2
, 2098
(1995
).9.
D.
Winske
, S. P.
Gary
, M. E.
Jones
, M.
Rosenberg
, D. A.
Mendis
, and V. W.
Chow
, Geophys. Res. Lett.
22
, 2069
, doi: (1995
).10.
D.
ter Haar
, Phys. Scr.
20
, 291
(1979
).11.
J. S.
Russell
, Report of the Fourteenth Meeting of the British Association for the Advancement of Science, held at York in 1844
(John Murray
, London
, 1845
), p. 311
.12.
C. S.
Gardner
, J. M.
Greene
, M. D.
Kruskal
, and R. M.
Miura
, Commun. Pure Appl. Math.
27
, 97
(1974
).13.
14.
M. J.
Ablowitz
and H.
Segar
, Solitons and the Inverse Scattering Transform
(SIAM
, Philadelphia
, 1981
).15.
A.
Saha
and P.
Chatterjee
, Phys. Plasmas
21
, 022111
(2014
).16.
A.
Saha
, P.
Chatterjee
, and N.
Pal
, J. Plasma Phys.
81
, 905810509
(2015
).17.
A.
Saha
and P.
Chatterjee
, Eur. Phys. J. D
69
, 203
(2015
).18.
A. A.
Mamun
and P. K.
Shukla
, Phys. Lett. A
290
, 173
(2001
).19.
A. A.
Mamun
and P. K.
Shukla
, Phys. Plasmas
9
, 1468
(2002
).20.
J. K.
Xue
, Phys. Plasmas
10
, 4893
(2003
).21.
B.
Sahu
and R.
Roychoudhury
, Phys. Plasmas
11
, 4871
(2004
).22.
B.
Sahu
and M.
Tribeche
, Astrophys. Space Sci.
338
, 259
(2012
).23.
B.
Sahu
and M.
Tribeche
, Adv. Space Sci.
51
, 2353
(2013
).24.
D.
Summers
and R. M.
Thorne
, Phys. Fluids B
3
, 1835
(1991
).25.
J. E.
Allen
, Phys. Scr.
45
, 497
(1992
).26.
M.
Tribeche
and M.
Bacha
, Phys. Plasmas
17
, 073701
(2010
).27.
R. K.
Varma
, P. K.
Shukla
, and V.
Krishan
, Phys. Rev. E
47
, 3612
(1993
).28.
F.
Melandso
and P. K.
Shukla
, Planet. Space Sci.
43
, 635
(1995
).29.
H.
Washimi
and T.
Taniuti
, Phys. Rev. Lett.
17
, 996
(1966
).30.
S.
Maxon
and J.
Viecelli
, Phys. Rev. Lett.
32
, 4
(1974
).31.
S.
Maxon
and J.
Viecelli
, Phys. Fluids
17
, 1614
(1974
).32.
33.
T.
Kakutani
and H.
Ono
, J. Phys. Soc. Jpn.
26
, 1305
(1969
).34.
V. D.
Djordjevic
and L. G.
Redekopp
, J. Phys. Oceanogr.
8
, 1016
(1978
).35.
L. G.
Redekopp
, J. Fluid Mech.
82
, 725
(1977
).36.
M.
Tribeche
, L.
Djebarni
, and R.
Amour
, Phys. Plasmas
17
, 042114
(2010
).37.
R.
Amour
and M.
Tribeche
, Phys. Plasmas
17
, 063702
(2010
).38.
M.
Bacha
, M.
Tribeche
, and P. K.
Shukla
, Phys. Rev. E
85
, 056413
(2012
).© 2015 AIP Publishing LLC.
2015
AIP Publishing LLC
You do not currently have access to this content.
