【摘要】 从扩充的含零点的黎曼问题方法的基本方程,利用规范变换建立了求解铁磁链方程的完整的线性代数方程组。它将通常的反散射法的Takatajan方程组作为特例(λ_j限于上半平面)包括在内。对λ_j任意时将给出新的正则解。更多还原

【Abstract】 From the fundamental equations of the extended Riemann problem with zeros and through gauge transformation, other basic equations are constructed. A system of equations for solving the equation of the Hiesenberg spin chaln can be deduced from them and has the same form as the Takhtajan′s equation in the case of λ_i in the upper half plane of complex λ. In general, they give new solutions which cannot be obtained through the inverse scattering method. As in the case of the nonlinear Schrodinger equation, some of these new solutions are regular. In this note, none of the notions and consequences of the inverse scattering method are used.更多还原