一个2+1维可积方程的代数几何解

该文从1+1维的孤子方程出发,构造出一个2+1维在Lax意义下可积的方程.接着这个2+1维可积方程被分解为可解的常微分方程.随后引入超椭圆Riemann曲面和Abel-Jacobi坐标把流进行了拉直.再利用Riemannθ函数给出了这个2+1维方程的代数几何解.     

利用李代数构造非线性可积及双可积哈密顿耦合

With the help of a Lie algebra,two kinds of Lie algebras with the forms of blocks are introduced for generating nonlinear integrable and bi-integrable couplings.For illustrating the application of the Lie algebras,an integrable Hamiltonian system is obtained,from which some reduced evolution equations are presented.Finally,Hamiltonian structures of nonlinear integrable and bi-integrable couplings of the integrable Hamiltonian system are furnished by applying the variational identity.The approach presented in the paper can also provide nonlinear integrable and bi-integrable couplings of other integrable system.     

M/G/1 QUEUE WITH CONTROLLABLE VACATIONS AND OPTIMIZATION OF VACATION POLICY

We introduce the control parameter N in a common queue M/G/1 with vacations; the endof a global vacation period is controlled by the parameter N. Thia extension for a queue withvacations is of significance in certain practical cases. In this paper, we find various transient andsteady-state results for the queue size. the delay times and the waiting times for the M/G/1 queuewith controllable vacations. Finally, we also discuss optimal selection of the control parameter.     

基于模糊推理系统的股票买卖策略研究

金融交易指标是分析股票等金融产品买入和卖出策略的普遍选择，但由于指标描述交易策略的模糊性，使得非专业人士很难掌握交易的时间和数量。针对上述问题，本文首先分析随机指标的交易策略。其次根据交易策略和模糊集理论建立模糊推理系统模型，此模型可以给出具体的股票交易策略，包括买入以及卖出的时间和数量等，并通过给定时间段内的获利情况来判断模型的有效性。最后以沪深A股市场的15只股票价格作为实验数据，对模型的有效性进行检验。实验表明，在没有人为因素参与的情况下，大多数股票由系统进行模拟交易都可以在一段时间内获取更大的利润。