论文标题
无反射的无反射schrödinger运算符的逆散射
Inverse scattering for reflectionless Schrödinger operators with integrable potentials and generalized soliton solutions for the KdV equation
论文作者
论文摘要
我们给出了无反射的schrödinger操作员的完整表征，并具有可集成的电位，解决了从特征值和规范常数重建此类电势的反向散射问题，并得出了Korteweg-de Vries方程的相应广义单酮溶液
We give a complete characterisation of the reflectionless Schrödinger operators on the line with integrable potentials, solve the inverse scattering problem of reconstructing such potentials from the eigenvalues and norming constants, and derive the corresponding generalized soliton solutions of the Korteweg--de Vries equation
