论文标题
$ b_n $，$ c_n $，$ d_n $及其概括的类型Hitchin系统的逆散射方法
Inverse scattering method for Hitchin systems of types $B_n$, $C_n$, $D_n$, and their generalizations
论文作者
论文摘要
我们为具有有限数量的自由度的可集成系统提供了反向散射问题的解决方案，并在Riemann表面上接受了光谱参数的宽松表示。尽管传统方法与$ gl（n）$对称性的系统相关，但我们重点介绍了与半简单组的对称性有关的问题。我们的主要结果适用于$ b_n $，$ c_n $，$ d_n $的Hitchin系统。
We give a solution of the Inverse Scattering Problem for integrable systems with a finite number degrees of freedom, admitting a Lax representation with spectral parameter on a Riemann surface. While conventional approaches deal with the systems with $GL(n)$ symmetry, we focus on the problems arising in the case of symmetry with respect to a semi-simple group. Our main results apply to Hitchin systems of the types $B_n$, $C_n$, $D_n$.
