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Bump-on-tail:
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Bump-on-tail:
Bump-on-tail:
¶
f
0
(
x
,
v
)
=
(
9
10
2
π
e
−
0.5
v
2
+
2
10
2
π
e
−
2
(
v
−
4.5
)
2
)
(
1
+
α
cos
(
k
x
)
)
,
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Two-stream instability:
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KEEN waves