<s>
Maxwell	O
's	O
Equations	O
,	O
when	O
converted	O
to	O
cylindrical	O
coordinates	O
,	O
and	O
with	O
the	O
boundary	O
conditions	O
for	O
an	O
optical	B-Architecture
fiber	I-Architecture
while	O
including	O
birefringence	O
as	O
an	O
effect	O
taken	O
into	O
account	O
,	O
will	O
yield	O
the	O
coupled	O
nonlinear	O
Schrödinger	O
equations	O
.	O
</s>
<s>
After	O
employing	O
the	O
Inverse	O
scattering	O
transform	O
(	O
a	O
procedure	O
analogous	O
to	O
the	O
Fourier	B-Algorithm
Transform	I-Algorithm
and	O
Laplace	O
Transform	O
)	O
on	O
the	O
resulting	O
equations	O
,	O
the	O
Manakov	B-Device
system	I-Device
is	O
then	O
obtained	O
.	O
</s>
<s>
The	O
most	O
general	O
form	O
of	O
the	O
Manakov	B-Device
system	I-Device
is	O
as	O
follows	O
:	O
</s>
<s>
For	O
theoretical	O
purposes	O
,	O
the	O
integral	B-Algorithm
equation	I-Algorithm
version	O
is	O
often	O
very	O
useful	O
.	O
</s>
