ESSENTIALLY NONLINEAR ONE-DIMENSIONAL MODEL OF CLASSICAL FIELD THEORY

被引:168
作者
Takhtadzhyan, L. A. [1 ]
Faddeev, L. D. [1 ]
机构
[1] Acad Sci USSR, VA Steklov Math Inst, Leningrad Branch, St Petersburg, Russia
关键词
D O I
10.1007/BF01035551
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that the equation u(tt)-u(xx) + sin u = 0 with boundary condition u(x, t) -> 0 (mod 2 pi) as vertical bar x vertical bar -> infinity, which describes a classical field with essentially nonlinear interaction, is a completely integrable Hamiltonian system. The results are interpreted in terms of particles corresponding to the field u (x, t).
引用
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页码:1046 / 1057
页数:12
相关论文
共 13 条
[1]   METHOD FOR SOLVING SINE-GORDON EQUATION [J].
ABLOWITZ, MJ ;
KAUP, DJ ;
NEWELL, AC ;
SEGUR, H .
PHYSICAL REVIEW LETTERS, 1973, 30 (25) :1262-1264
[2]  
Faddeev L., 1964, T MATEM I VA STEKLOV, V73, P314
[3]  
Faddeev L. D., PHYS LETT IN PRESS
[4]   SOME NEW CONSERVATION LAWS [J].
FINKELSTEIN, D ;
MISNER, CW .
ANNALS OF PHYSICS, 1959, 6 (03) :230-243
[5]   METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].
GARDNER, CS ;
GREENE, JM ;
KRUSKAL, MD ;
MIURA, RM .
PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&
[6]  
Lax P. D., 1969, MATEMATIKA, V13, P128
[8]  
TAKHTADZHYAN LA, 1974, ZH EKSP TEOR FIZ+, V66, P476
[9]  
Takhtajan L A, 1973, ZAPISKI LOMI, V37, P66
[10]  
Zakharov V. E., 1971, Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, V61, P118