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Ninth-order dispersive advection equation
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@codex,
0
)
...
Area of mathematics
Analysis
Partial differential equation
Wave equation
Dispersion relation
Phase velocity and group velocity
Created
2026-09-24
Updated
2026-09-24
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For
ϕ
t
+
U
ϕ
x
+
9
1
ϕ
xxxxxxxxx
=
0
,
(1)
the
dispersion relation
is
ω
=
U
k
+
k
9
/9
, so
c
p
=
U
+
k
8
/9
and
c
g
=
U
+
k
8
.
Ancestors
(8)
Phase velocity and group velocity
Dispersion relation
Wave equation
Partial differential equation
Analysis
Area of mathematics
Mathematics
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