NONISOSPECTRAL DEFORMATIONS OF THE HEISENBERG-FERROMAGNET EQUATION

被引:8
作者
CIESLINSKI, J
机构
[1] Physics Institute, Białystok Branch, Warsaw University, 15-424 Białystok
关键词
D O I
10.1016/0375-9601(90)90540-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider spin models of the form S,t = γS,x+S ∧ (αS,xx+βS,x). They can be interpreted as one-dimesional reductions of the three-dimensional classical, continuous, inhomogeneous Heisenberg ferromagnet. We isolate integrable subcases corresponding to non-isospectral (in x and t) deformations of the standard, quadratic in the spectral parameter, su (2) AKNS linear problem. © 1990.
引用
收藏
页码:139 / 143
页数:5
相关论文
共 10 条
[1]  
Ablowitz M. J., 1981, SOLITONS INVERSE SCA
[2]  
BALAKRISHNAN R, 1982, J PHYS C SOLID STATE, V15, P1305
[3]  
BURTSEV SP, 1987, TEOR MAT FIZ, V70, P323
[4]  
CIESLINSKI J, 1988, P WORKSHOP NONLINEAR
[5]  
CIESLINSKI J, 1989, 789 TWENT U MEM
[6]   GEOMETRY OF GENERALIZED NON-LINEAR SCHRODINGER AND HEISENBERG FERROMAGNETIC SPIN EQUATIONS WITH LINEARLY CHI-DEPENDENT COEFFICIENTS [J].
LAKSHMANAN, M ;
BULLOUGH, RK .
PHYSICS LETTERS A, 1980, 80 (04) :287-292
[7]   GEOMETRICAL AND GAUGE EQUIVALENCE OF THE GENERALIZED HIROTA, HEISENBERG AND WKIS EQUATIONS WITH LINEAR INHOMOGENEITIES [J].
LAKSHMANAN, M ;
GANESAN, S .
PHYSICA A, 1985, 132 (01) :117-142
[8]  
MIKHAILOV AV, 1982, JETP LETT, V36, P78
[9]   GEODESIC CONGRUENCES AND INHOMOGENEOUS HEISENBERG-FERROMAGNET [J].
SYM, A ;
WESSELIUS, W .
PHYSICS LETTERS A, 1987, 120 (04) :183-186
[10]  
ZAKHAROV VE, 1979, TEOR MAT FIZ, V38, P26