Solutions of the modified chiral model in (2+1) dimensions

被引:21
作者
Ioannidou, T [1 ]
Zakrzewski, WJ [1 ]
机构
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
关键词
D O I
10.1063/1.532414
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper we deal with classical solutions of the modified chiral model on R2+1. Such solutions are shown to correspond to products of various factors which we call time-dependent unitons. Then the problem of solving the system of second-order partial differential equations for the chiral field is reduced to solving a sequence of systems of first-order partial differential equations for the unitons. (C) 1998 American Institute of Physics.
引用
收藏
页码:2693 / 2701
页数:9
相关论文
共 9 条
[1]  
Ablowitz MJ., 1991, Nonlinear Evolution Equations and Inverse Scattering, DOI 10.1017/CBO9780511623998
[2]  
ANAND C, WARDS SOLITONS, V2
[3]  
COLLINS PDB, 1989, PARTICLE PHYSICS COS
[4]   MORE ABOUT NON-LINEAR SIGMA-MODELS ON SYMMETRIC-SPACES [J].
EICHENHERR, H ;
FORGER, M .
NUCLEAR PHYSICS B, 1980, 164 (03) :528-535
[5]   Soliton solutions and nontrivial scattering in an integrable chiral model in (2+1) dimensions [J].
Ioannidou, T .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (07) :3422-3441
[6]  
UHLENBECK K, 1989, J DIFFER GEOM, V30, P1
[7]   NONTRIVIAL SCATTERING OF LOCALIZED SOLITONS IN A (2+1)-DIMENSIONAL INTEGRABLE SYSTEM [J].
WARD, RS .
PHYSICS LETTERS A, 1995, 208 (03) :203-208
[8]   SOLITON-SOLUTIONS IN AN INTEGRABLE CHIRAL MODEL IN 2+1 DIMENSIONS [J].
WARD, RS .
JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (02) :386-389
[9]  
Zakrzewski W. J., 1989, LOW DIMENSIONAL SIGM