Russian

1977
.
—
. XXXIJ,
.
25
1.
.
. 1 (193)
.
1976 .
.
,
.
.
«
-
».
-
2
.
ui ( , , t)]
j ^ — - —
5
, L 2=
~
\ Vi ( , , t)
,
L%—— = 0,
. (
,
,
sin-gordon
1
:
,
—
. [1].)
L
( L — - — ) ¥ = 0,
(1)
Y ( , , t, ft) = ***+*"*+*' >' ( 1 + J U ( , , t) AT*) ,
i=l
(x,
, t,
,
F(k) = cmkm+...
,
) (
Si,
, t.
([2]).
¥ ( , , t, P)
Si
g, 0 £ Si,
, g
g
(1).
1.
,
g
0
,
0
+ cQ.
L)
L2
(g —
Si),
.
D
D,
,
dt
£- ( ,
, t)
.
,
.
I L i — — , L2—— J = 0.
¥ ( ,
) = W ( , 0, 0,
).
2.
Si
0
( ),
A (Si, PQ))
(
Lg
,
LEW = EW.
-
230
,
,
D
,
W( ,
XD
( <,
)
0)
.
3.
,
,
.
,
6 ^
D
,
{31,
0)
,
L = -—f-
( ),
=
\ ( ),
\ = 0,
,
-
.
—
.§\, at
i i = [X,
—
-
^.
-
],
,
, 1 ,
=
, 2
'
£2
'
•'•
% ,i
,
, ...
.
—
= [a, %at jv+il
iV-
.
:
= ada-(—
)>
I { }—
( Nn(n—1)/2
,
=
=
.
=0
).
L
,
$t,
?,
4.
L = — +
( ) —
( )
.
= [ ,
> N+1] = 0,
) — det | W*l — (aEN + . . . +
= 0.
Q (W,
¥ , LW =
.
,
, N) | = 0.
<5 ,
,
^/
.
.
,
.
5.
—
J {PR)
-
-
.
[1]
->
. .
,
.
.
^ .
,
,
[2]
.
8:3 (1974), 43—53.
. .
,
,
141:2 (1961), 263—266.
3
1.
.
».
1976
.
.
«
-