A new six-component super soliton hierarchy and its self-consistent sources and conservation laws

A new six-component super soliton hierarchy is obtained based on matrix Lie super algebras. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear super integrable hierarchy. After that, the selfconsistent sources of the new six-component super soliton hierarchy are presented. Furthermore, we establish the infinitely many conservation laws for the integrable super soliton hierarchy.     

Guo族非线性可积耦合的哈密顿结构及其守恒

基于可积耦合的基本理论,我们给出了构造孤子族非线性可积耦合的一般方法,并用相应圈代数上的变分恒等式来求可积耦合的哈密顿结构.作为应用,我们给出了Guo族的非线性可积耦合及其哈密顿结构.最后,给出了Guo族非线性可积耦合的守恒律.     

A new generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure

Based on the differential forms and exterior derivatives of fractional orders,Wu first presented the generalized Tu formula to construct the generalized Hamiltonian structure of the fractional soliton equation.We apply the generalized Tu formula to calculate the fractional Dirac soliton equation hierarchy and its Hamiltonian structure.The method can be generalized to the other fractional soliton hierarchy.     

可控负荷菜单定价方法研究

合理的需求侧电价是促进和引导用户实施需求响应的关键因素.借助机制设计中激励相容理论,基于地域分散、数量庞大的可控负荷参与市场交易时的报价信息,提出了以系统供电成本最小为目标的用户类型离散的可控负荷菜单定价方法.该定价方法仅需通过用户上报的信息数据得到用户类型划分,有效反映不同类型可控负荷对价格响应的差异性,促进用户自愿参与市场交易,降低系统供电成本.在一定程度上促进了可再生能源的利用,同时也为需求侧电价设计提供了理论参考.