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GERF
Symbols
BalanceConstant
GERFSolve
Taggar`GERF`
B
a
l
a
n
c
e
C
o
n
s
t
a
n
t
B
a
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a
n
c
e
C
o
n
s
t
a
n
t
[
e
q
n
,
u
[
x
,
t
]
]
c
a
l
c
u
l
a
t
e
s
t
h
e
b
a
l
a
n
c
i
n
g
c
o
n
s
t
a
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t
o
f
g
i
v
e
n
e
q
n
i
n
u
[
x
,
t
]
.
B
a
l
a
n
c
e
C
o
n
s
t
a
n
t
[
{
e
q
n
1
,
e
q
n
2
,
.
.
.
,
e
q
n
k
}
,
{
u
1
[
v
a
r
s
]
,
u
2
[
v
a
r
s
]
,
.
.
.
,
u
k
[
v
a
r
s
]
}
]
c
a
l
c
u
l
a
t
e
s
t
h
e
b
a
l
a
n
c
i
n
g
c
o
n
s
t
a
n
t
o
f
g
i
v
e
n
{
e
q
n
1
,
e
q
n
2
,
.
.
.
,
e
q
n
k
}
i
n
{
u
1
[
v
a
r
s
]
,
u
2
[
v
a
r
s
]
,
.
.
.
,
u
k
[
v
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]
}
.
Examples
(
3
)
Basic Examples
(
2
)
This is the Burgers' equation in
(
1
+
1
)
-dimensions:
I
n
[
1
]
:
=
b
u
r
g
e
r
s
=
∂
t
u
[
x
,
t
]
+
u
[
x
,
t
]
∂
x
u
[
x
,
t
]
-
ν
∂
x
,
x
u
[
x
,
t
]
0
O
u
t
[
1
]
=
(
0
,
1
)
u
[
x
,
t
]
+
u
[
x
,
t
]
(
1
,
0
)
u
[
x
,
t
]
-
ν
(
2
,
0
)
u
[
x
,
t
]
0
Its balance constant:
I
n
[
2
]
:
=
B
a
l
a
n
c
e
C
o
n
s
t
a
n
t
[
b
u
r
g
e
r
s
,
u
[
x
,
t
]
]
O
u
t
[
2
]
=
1
Another example, Calogero–Bogoyavlenskii–Schiff equation in
(
2
+
1
)
-dimensions:
I
n
[
1
]
:
=
c
b
s
=
∂
x
,
t
u
[
x
,
y
,
t
]
+
4
∂
x
u
[
x
,
y
,
t
]
∂
x
,
y
u
[
x
,
y
,
t
]
+
2
∂
x
,
x
u
[
x
,
y
,
t
]
∂
y
u
[
x
,
y
,
t
]
+
∂
x
,
x
,
x
,
y
u
[
x
,
y
,
t
]
0
;
I
n
[
2
]
:
=
B
a
l
a
n
c
e
C
o
n
s
t
a
n
t
[
c
b
s
,
u
[
x
,
y
,
t
]
]
O
u
t
[
2
]
=
1
S
c
o
p
e
(
1
)
S
e
e
A
l
s
o
G
E
R
F
S
o
l
v
e
"
"