A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrfdinger Equation

An explicit N-fold Darboux transformation with multiparameters for nonlinear Schrodinger equation is constructed with the help of its Lax pairs and a reduction technique. According to this Darboux transformation, the solutions of the nonlinear Schrfdinger equation are reduced to solving a linear algebraic system, from which a unified and explicit formulation of N-soliton solutions with multiparameters for the nonlinear Schrfdinger equation is given.``     

基于光学沃尔什变换特征提取的图像匹配

采用光电结合的方法实现了沃尔什 （Walsh）分量变换,提出出反映图像主要特征的分量,用于大容量图像库的内容匹配查找,基于以非相干光相关器为核心的光电混合图像处理系统,实现了基于光学沃尔什变换特征提取的图像匹配算法。     

Linear Frameworks for Block Ciphers

Inthis paper we generalize the structure of the ciphers Shark, Square, BKSQ, Crypton and Rijndael. We show that the linearcomponents play an essential role in the effect of the nonlinearS-boxes in providing resistance against differential and linearcryptanalysis and provide upper bounds for the probability ofdifferential characteristics and the correlation of linear approximationsfor the general structure. We show how good linear componentscan be constructed efficiently from Maximum-Distance Separablecodes. The presented block cipher structure can make optimaluse of a wide range of processor word lengths and its parallelismallows very fast dedicated hardware implementations. Cipherswith variable block length can be constructed by varying certainparameters in the presented structure.     

Double-Pullback Transitions and Coalgebraic Loose Semantics for Graph Transformation Systems

The classical algebraic approach to graph transformation is a mathematical theory based on categorical techniques with several interesting applications in computer science. In this paper, a new semantics of graph transformation systems (in the algebraic, double-pushout (DPO) approach) is proposed in order to make them suitable for the specification of concurrent and reactive systems. Classically, a graph transformation system comes with a fixed behavioral interpretation. Firstly, all transformation steps are intended to be completely specified by the rules of the system, that is, there is an implicit frame condition: it is assumed that there is a complete control about the evolution of the system. Hence, the interaction between the system and its (possibly unknown) environment, which is essential in a reactive system, cannot be modeled explicitly. Secondly, each sequence of transformation steps represents a legal computation of the system, and this makes it difficult to model systems with control. The first issue is addressed by providing graph transformation rules with a loose semantics, allowing for unspecified effects which are interpreted as activities of the environment. This is formalized by the notion of double-pullback transitions, which replace (and generalize) the well-known double-pushout diagrams by allowing for spontaneous changes in the context of a rule application. Two characterizations of double-pullback transitions are provided: the first one describes them in terms of extended direct DPO derivations, and the second one as incomplete views of parallel or amalgamated derivations. The issue of constraining the behavior of a system to transformation sequences satisfying certain properties is addressed instead by introducing a general notion of logic of behavioral constraints, which includes instances like start graphs, application and consistency conditions, and temporal logic constraints. The loose semantics of a system with restricted behavior is defined as a category of coalgebras over a suitable functor. Such category has a final object which includes all finite and infinite transition sequences satisfying the constraints.     

基于Poincare变换的滑动轴承非线性油膜力数据库方法

运用状态空间Poincare变换使径向滑动轴承动力系统的部分状态变量由无限区间变换到有限区间,在经过变换的状态空间中求解Reynolds方程,建立了径向滑动轴承非线性油膜力数据库及相应的插值拟合程序,实现了非线性油膜力的快速准确获得。通过滑动轴承,转子系统运动瞬态分析和Poincare映射方法验证了数据库及拟合程序的精度。     

含外力项的广义KdV方程的新自Darboux变换和显式解析解

基于 Ｒｉｃｃａｔｉ形式的 Ｌａｘ对,本文推得了含外力项的广义 ＫｄＶ方程的新自Ｄａｒｂｏｕｘ变换．当应用这个变换时,仅需要做积分,就能获得一系列显示解析解,其中包含类孤波解．这种途径对于寻找非线性发展方程新的具有物理意义的解或许是有用的．     

Hopf-Cole transformation to some systems of partial differential equations

In this paper we study a system of nonlinear partial differential equations which we write as a Burgers equation for matrix and use the Hopf-Cole transformation to linearize it. Using this method we solve initial value problem and initial boundary value problems for some systems of parabolic partial differential equations. Also we study an initial value problem for a system of nonlinear partial differential equations of first order which does not have solution in the standard distribution sense and construct an explicit solution in the algebra of generalized functions of Colombeau. Received November 1999     

Double-wave description of mesoscopic resistance-inductance-capacitance coupled circuit with power source

Quantum fluctuations in the mesoscopic capacitance-inductance-resistance coupled circuit with a power source are investigated using canonical transformation and a double wavefunction. We confirm that the fluctuations are not influenced by the power source. As a new method, the double wavefunction describes a single system of the coupled circuit, whereas the single wavefunction describes a quantum ensemble.     

镧对红壤硝化、磷转化和酚分解作用的影响

通过室内培养和盆栽试验研究了La对红壤硝化作用,磷转化作用和酚分解作用的影响,低浓度下,La对土壤的硝化作用和磷转化作用均有某些刺激作用,但随着浓度的升高产生抑制作用并不断增加,La对土壤酚分解作用表现为剧烈的抑制作用,并随着浓度的升高,抑制作用不断增强,随着培养时间的延长,La对土壤硝化作用和酚分解作用的抑制作用有降低的趋势。     

氯柱硼镁石的合成及其在20℃水中的溶解相转化动力学研究

报道了合成氯柱硼镁石的快捷方法及该复盐在20℃水中的溶解和相转化过程.结果表明:该复盐在水中呈现不同步溶解,首先溶脱掉MgCl2·6H2O,生成中间产物MgO·B2O2·4H2O,随后发生转化,最终转化产物是2MgO·3B2O2·15H2O.拟合出了溶解转化结晶动力学方程,提出了溶解转化结晶反应机制.