Based on the generalized Cayley transform, a family of conservative one-step schemes of the sixth order of accuracy for the Zakharov-Shabat system is constructed. The exponential integrator is a special case. Schemes based on rational approximation allow the use of fast algorithms to solve the initial problem for a large number of values of the spectral parameter.

中文翻译：

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Zakharov-Shabat系统中基于广义Cayley变换的快速六阶算法

基于广义的Cayley变换，构造了Zakharov-Shabat系统的一系列精度为六阶的保守的一步法。指数积分器是一个特例。基于有理逼近的方案允许使用快速算法来解决大量光谱参数值的初始问题。