超对称可积系统是可积系统理论的重要组成部分，得到了较大的发展。本项目旨在探讨超对称系统研究方向的热点问题，内容包括Lax-Darboux方案在超对称可积系统理论中实现、新型超对称方程如超对称Camassa-Holm (CH)型方程的构造与性质研究。.首先，项目以若干经典可积系统的超对称化及构造新的超对称可积系统出发点，以积累超对称可积系统理论进一步发展的研究素材为目标，用多种思想方法构造超对称CH类型方程，深入研究它们的可积性质。CH、 DP以及Novikov方程等的超对称化是主要目标。另外，还考虑这些方程的扩展型的超对称形式，特别是N=2超对称可积系统。.其次，项目研究超对称可积系统的Lax-Darboux方案，在统一的框架下探讨超对称可积系统的连续、半离散及全离散形式，将一些著名的超对称系统可积离散化，构造新的超Yang-Baxter映射，探讨相应的性质。

The theory of supersymmetric integrable systems has been an integrated part of integrable theory and has been attracting much attention. The present project aims to consider the constructions of new supersymmetric integrable systems and realizes the Lax-Darboux scheme in the supersymmetric context..First, to find the supersymmetric analogues of classical integrable systems and present new examples of supersymmetric integrable systems, supersymmetrizations of Camassa-Holm type equations will be studied. The focus is to obtain the supersymmetric versions of Camassa-Holm equation and Degasperis-Procesi equation and Novikov equation in particular. Also, the extended supersymmetric generalizations of these systems are to be explored. .Second, the realization of the Lax-Darboux scheme is to be considered in the supersymmetric context. In this way, the continuum systems and semi-discrete systems and full-discrete systems of supersymmetric type are studied in a unified framework. The primary goals are the proper discretization of some well-known supersymmetric integrable systems, the constructions of super Yang-Baxter maps and the studies of their properties. In addition to N=1 supersymmetric systems, the project is meant to study N=2 supersymmetric integrable systems and develop their Lax-Darboux scheme directly in the N=2 framework.