引入规范矩阵将Landau-Lifschitz方程和Nonlinear Schrodinger(NLS)方程等价起来,利用求解NLS方程的方法建立相应的反散射变换方法求解Landau-Lifschitz方程,并给出了Landau-Lifschitz方程孤子解的确切表达式及二孤子解具体形式.
Landau-Lifschitz equation is equivalent to Nonlinear Schrodinger equation by gauge transform.The exact soliton solutions and two-soliton solutions for Landau-Lifschitz equztion are gived by instructing the inverse scattering transform as the same technology solved for Nonlinear Schrodinger equation.