A rigorous theoretical investigation has been made on the formation of the nonlinear structures (viz., solitary waves, double layers) in a dusty electron-positron-ion plasma (containing inertialess degenerate electrons and positrons, cold, mobile, inertial ions, and negatively charged stationary dust). The pseudo potential method has been employed in this theoretical investigation. The basic features of the solitary waves and double layers, which are associated with positive ion dynamics and pressures of degenerate electrons and positrons, are identified. The co-existence of positive and negative solitary waves, and existence of either positive or negative double layers have been theoretically observed for certain range of different plasma parameters. The implications of our results in astrophysical compact objects have been briefly discussed.

1.
A. A.
Mamun
and
P. K.
Shukla
,
Phys. Fluids B
5
,
5
(
1993
).
2.
M. J.
Rees
,
The Very Early Universe
(
Cambridge University Press
,
Cambridge
,
1983
), p.
275
.
3.
H. R.
Miller
and
P. J.
Witta
,
Active Galactic Nuclei
(
Springer
,
New York
,
1987
), p.
202
.
4.
F. C.
Michel
,
Theory of Neutron Star Magnetospheres
(
Chicago University Press
,
Chicago
,
1983
).
5.
E.
Tandberg-Hansen
and
A. G.
Emslie
,
The Physics of Solar Flares
(
Cambridge University Press
,
Cambridge
,
1988
), p.
124
.
7.
C. M.
Surko
,
M.
Leventhal
,
W. S.
Crane
,
A.
Passner
,
F.
Wysocki
,
T. J.
Murphy
,
J.
Strachan
, and
W. L.
Rowan
,
Rev. Sci. Instrum.
57
,
1862
(
1986
).
8.
M. D.
Tinkle
,
R. G.
Graves
,
C. M.
Surko
,
R. L.
Spencer
, and
G. W.
Mason
,
Phys. Rev. Lett.
72
,
352
(
1994
).
9.
R. G.
Greaves
and
C. M.
Surko
,
Phys. Rev. Lett.
75
,
3846
(
1995
).
10.
V. I.
Berezhiania1
,
L. N.
Tsintsadzea1
, and
P. K.
Shukla
,
J. Plasma Phys.
48
,
139
(
1992
);
V. I.
Berezhiania1
,
L. N.
Tsintsadzea1
, and
P. K.
Shukla
,
Phys. Scr.
46
,
55
(
1992
).
11.
F. B.
Rizzato
,
Plasma Phys.
40
,
289
(
1988
).
12.
V. I.
Berezhiani
,
M. Y.
El-Ashry
, and
U. A.
Mofiz
,
hys. Rev. E
50
,
448
(
1994
).
13.
V. I.
Berezhiani
and
S. M.
Mahajan
,
Phys. Rev. Lett.
73
,
1110
(
1994
).
14.
S. I.
Popel
,
S. V.
Vladimirov
, and
P. K.
Shukla
,
Phys. Plasmas
2
,
716
(
1995
).
15.
P.K.
Shukla
,
L.
Stenflo
, and
R.
Fedele
,
Phys. Plasmas
10
,
310
(
2003
).
16.
V. P.
Bliokh
and
V. V.
Yaroshenko
,
Sov. Astron.
29
,
330
(
1985
).
17.
U.
de Angelis
,
V.
Formisano
, and
M.
Giordano
,
J. Plasma Phys.
40
,
399
(
1988
).
18.
P. K.
Shukla
and
V. P.
Silin
,
Phys. Scr.
45
,
508
(
1992
).
19.
T.
D’Angelo
,
Planet. Space Sci.
38
,
9
(
1990
).
20.
S.
Chandrasekhar
,
Philos. Mag.
11
,
591
(
1931
).
21.
S.
Chandrasekhar
,
Astrophys. J.
74
,
81
(
1931
).
22.
S.
Chandrasekhar
,
Mon. Not. R. Astron. Soc.
170
,
905
(
1935
).
23.
D.
Koester
and
G.
Chanmugam
,
Rep. Prog. Phys.
53
,
837
(
1990
).
24.
S. L.
Shapiro
and
S. A.
Teukolsky
,
White Dwarfs and Neutron Stars: The Physics of Compact objects
(
John Wiley and Sons
,
New York
,
1983
).
25.
L.
Stenflo
,
P. K.
Shukla
, and
M.
Marklund
,
Europhys. Lett.
74
,
844
(
2006
).
26.
P. K.
Shukla
and
L.
Stenflo
,
Phys. Lett. A
355
,
378
(
2006
).
27.
P. K.
Shukla
and
B.
Eliasson
,
Phys. Rev. Lett.
96
,
245011
(
2006
);
P. K.
Shukla
and
B.
Eliasson
,
Phys. Rev. Lett.
99
,
096401
(
2007
).
[PubMed]
28.
G.
Brodin
and
M.
Marklund
,
Phys. Plasmas
14
,
112107
(
2007
).
29.
M.
Marklund
and
G.
Brodin
,
Phys. Rev. Lett.
98
,
025001
(
2009
).
30.
M.
Marklund
,
B.
Eiasson
, and
P. K.
Shukla
,
Phys. Rev. E
76
,
067401
(
2007
).
31.
W.
Masood
,
B.
Eiasson
, and
P. K.
Shukla
,
Phys. Rev. E
81
,
066401
(
2010
).
32.
P. K.
Shukla
and
B.
Eliasson
,
Phys. Usp.
53
,
51
(
2010
).
33.
G.
Manfredi
,
Fields Inst. Commun.
46
,
263
(
2005
).
34.
F.
Hass
,
Phys. Plasmas
13
,
042309
(
2007
).
35.
A. P.
Misra
and
S.
Samanta
,
Phys. Plasmas
15
,
123307
(
2008
).
36.
A. P.
Misra
,
S.
Banerjee
,
P. K.
Shukla
, and
L. P. G.
Assis
,
Phys. Plasmas
17
,
032307
(
2010
).
37.
I. B.
Bernstein
,
G. M.
Greene
, and
M. D.
Kruskal
,
Phys. Plasmas
108
,
546
(
1957
).
38.
R. Z.
Sagdeev
,
Reviews of Plasma Physics
(
Consultants Bureau
,
New York
,
1966
).
39.
A. A.
Mamun
and
P. K.
Shukla
,
Phys. Lett. A
324
,
4238
(
2010
).
40.
A. A.
Mamun
,
S.
Tasnim
, and
P. K.
Shukla
,
IEEE Trans. Plasma Sci.
38
,
3098
(
2010
).
You do not currently have access to this content.