Nonlinear interactions between electromagnetic electron cyclotron (EMEC) waves and ion-acoustic perturbations involving nonisothermal electrons and cold inertial ions are considered. Following standard methods, a reduced wave equation for the slowly varying EMEC wave envelope is derived, including nonlinear effects associated with relativistic electron mass variation and electron density changes caused by the EMEC ponderomotive force and trapped electrons in the ion-acoustic perturbations which modulate the EMEC waves. The governing equations are employed to investigate the influence of trapped electrons on the modulational instability and envelope EMEC solitons. It is found that the static magnetic field intensifies the reduction of the growth rate, and makes the conditions for constructing envelope soliton solutions harder.

1.
P.
Mora
,
Phys. Fluids B
4
,
1630
(
1992
).
2.
G.M.
Zaslavskii
,
R.Z.
Sagdeev
,
D.A.
Usikov
, and
A.A.
Chernikov
, Weak Chaos and Quasiregular Patterns (Cambridge University Press, New York,
1991
).
3.
L. D.
Landau
,
Zh. Eksp. Teor. Fiz.
10
,
25
(
1946
).
4.
N. G. Van
Kampen
,
Physica A
21
,
949
(
1995
);
N.G. Van
Kampen
and
B.U.
Felderhof
, Theoretical Methods in Plasma Physics (North-Holland, Amsterdam,
1967
).
5.
D.
Bohm
and
E. P.
Gross
,
Phys. Rev.
75
,
1851
(
1949
).
6.
I. B.
Bernstein
,
J. M.
Greene
, and
M. D.
Kruskal
,
Phys. Rev.
108
,
546
(
1957
).
7.
T. M.
O’Neil
,
Phys. Fluids
8
,
2255
(
1965
).
8.
C.
Lancellotti
and
J. J.
Dorning
,
Phys. Rev. Lett.
81
,
5137
(
1998
).
9.
G.
Manfredi
,
Phys. Rev. Lett.
79
,
2815
(
1997
).
10.
H.
Schamel
,
Phys. Rep.
140
,
161
(
1986
).
11.
K.
Saeki
,
P.
Michelsen
,
H. L.
Pecseli
, and
J. J.
Rasmussen
,
Phys. Rev. Lett.
42
,
501
(
1979
).
12.
C.
Hansen
,
A. B.
Reimann
, and
J.
Fajans
,
Phys. Plasmas
3
,
1820
(
1996
).
13.
P.L.
Colestock
and
L.K.
Spentzouris
, in The Tamura Symposium Proceedings, Austin, TX, 1994 [AIP Conf. Proc. 356 (
1996
)];
H.
Schamel
and
R.
Fedele
,
Phys. Plasmas
7
,
3421
(
2000
).
14.
M.
Temerin
,
K.
Cerny
,
W.
Lotko
, and
F. S.
Mozer
,
Phys. Rev. Lett.
48
,
1175
(
1982
);
A.
Malkki
,
I.
Eriksson
,
P. O.
Dovner
,
R.
Bostrom
,
B.
Holback
,
G.
Holmgren
, and
H. E. J.
Koskinen
,
J. Geophys. Res. B
98
,
15521
(
1993
);
R. E.
Ergun
,
C. W.
Carlson
,
J. P.
McFadden
et al.,
Geophys. Res. Lett.
25
,
2041
(
1998
);
F. S.
Mozer
,
R.
Ergun
,
M.
Temerin
,
C.
Cattell
,
J.
Dombeck
, and
J.
Wyant
,
Phys. Rev. Lett.
79
,
1281
(
1997
).
15.
A. V.
Gurevich
,
Sov. Phys. JETP
53
,
953
(
1967
).
16.
E.M.
Lifshitz
and
L.P.
Pitaevskii
, Physical Kinetics (Pergamon, New York,
1975
).
17.
V. B.
Krapchev
and
A. K.
Ram
,
Phys. Rev. A
22
,
1229
(
1980
).
18.
V. L.
Krasovskii
,
JETP
80
,
420
(
1995
).
19.
H.
Schamel
,
Phys. Rev. Lett.
79
,
2811
(
1997
).
20.
H.
Schamel
,
Phys. Plasmas
7
,
4831
(
2000
).
21.
V. E.
Zakharov
,
Sov. Phys. JETP
35
,
908
(
1972
).
22.
L. N.
Gorbunov
,
Sov. Phys. JETP
16
,
217
(
1973
).
23.
P. K.
Shukla
,
L.
Stenflo
,
R.
Bingham
, and
R. O.
Dandy
,
J. Geophys. Res.
101
,
27449
(
1996
).
24.
F.
Califano
,
F.
Pegoraro
, and
S. V.
Bulanov
,
Phys. Rev. Lett.
84
,
3602
(
2000
).
25.
L. M.
Kerashvili
and
N. L.
Tsintsadze
,
Fiz. Plazmy
9
,
570
(
1983
).
26.
L.
Stenflo
,
G. D.
Tomaradze
, and
N. L.
Tsintsadze
,
Fiz. Plazmy
11
,
111
(
1985
).
27.
V.I.
Karpman
, Nonlinear Waves in Dispersive Media (Pergamon, New York,
1975
).
28.
A.F.
Alexandrov
,
L.S.
Bogdankevich
, and
A.A.
Rukhadze
, Principles of Plasma Electrodynamics (Springer-Verlag, New York,
1984
).
29.
H.
Abbasi
,
M. R.
Rouhani
, and
D. D.
Tskhakaya
,
Phys. Scr.
56
,
619
(
1997
).
This content is only available via PDF.
You do not currently have access to this content.