Weakly relativistic effect in the formation of ion-acoustic solitary waves in a positive ion-beam plasma
Relativistic solitons are investigated in a plasma with positive-ion beams using the Korteweg-de Vries (KdV) equation considering relativistic effects smaller for i O(v 2 /c 2 ) and e O(u 2 /c 2 ), and larger for i O(v 4 /c 4 ) and e O(u 4 /c 4 ), where γ i = { 1 − ( v c ) 2 } − ( 1 / 2 ) and γ e...
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| Published in | Canadian journal of physics Vol. 88; no. 3; pp. 157 - 164 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Ottawa
NRC Research Press
01.03.2010
Canadian Science Publishing NRC Research Press |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0008-4204 1208-6045 |
| DOI | 10.1139/P10-008 |
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| Summary: | Relativistic solitons are investigated in a plasma with positive-ion beams using the Korteweg-de Vries (KdV) equation considering relativistic effects smaller for
i
O(v
2
/c
2
) and
e
O(u
2
/c
2
), and larger for
i
O(v
4
/c
4
) and
e
O(u
4
/c
4
), where
γ
i
=
{
1
−
(
v
c
)
2
}
−
(
1
/
2
)
and
γ
e
=
{
1
−
(
u
c
)
2
}
−
(
1
/
2
)
are relativistic factors of positive ions and electrons, respectively. Only compressive solitons of reasonable amplitudes are established subject to a mathematical condition in terms of initial and physical parameters with fourth-order terms in
β
i
0
′
=
1
+
3
v
0
2
2
c
2
+
15
v
0
4
8
c
4
and
β
e
0
′
=
1
+
3
u
0
2
2
c
2
+
15
u
0
4
8
c
4
for higher order relativistic effects and lower order relativistic effects without fourth-order terms in
β
i
0
′
and
β
e
0
′
for Q′ < 1 and Q′ > 1. The role of positive ion beams in a plasma with higher and lower order relativistic effects in the formation of relativistic solitons is fully explored in the investigation. |
|---|---|
| Bibliography: | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 |
| ISSN: | 0008-4204 1208-6045 |
| DOI: | 10.1139/P10-008 |