新(2+1)-维超动力系统的生成（英文）

Generating New Super Dynamical Systems in(2 + 1)-dimensional Space

本文利用二项式残数表示方法生成(2+1)-维超动力系统,利用这些系统得到一个新的(2+1)-维超NLS-MKdV族,它能约化为超非线性Schrodinger方程.特别地得到两个具有重要物理应用的结果,一个是(2+1)-维超可积耦合方程,另一个是(2+1)-维扩散方程.最后,利用超迹恒等式给出了新(2+1)-维超可积系统的超Hamilton结构.

In the article,we make use of the binormial-residue-representation(BRR)to generate(2+1)-dimensional super dynamical systems.By using these systems,a new(2+1)-dimensional super NLS-MKdV hierarchy is deduced,which can be reduced to super nonlinear Schrodinger equation.Especially,two main results are obtained which have important physical applications.One of them is a set of(2+1)-dimensional super integrable couplings,the other one is a(2+1)-dimensional diffusion equation.Furthermore,Super trace identity is used to furnish the super Hamiltonian structures for the new(2+1)-dimensional super integrable system.