Heisenberg模型的可积形变(Ⅱ)

INTEGRABLE DEFORMATIONS OF THE HEISENBERG MODEL(Ⅱ)

本文利用拓展结构理论,调查了Heisenberg模型的三阶可积形变.我们得到一个各向同性的非线性可积形变,各向异性可积形变并不存在.最后,我们指出这个可积形变的Heisenberg自旋方程等价于一个推广的线性Schrodinger方程.

The third-order integrable deformations of the Heisenberg model are investigate by the prolongation structure theory. An isotropic noninear integrable deformation is obtainbed, but no existence of integrable setormation. It is pointed out that the in- tegrable deformed Heisenberg spin equation is equivalent to a generalized nonlinear Schrodinger equation.