Localized Coherent Structures with Chaotic and Fractal Behaviors in a （2＋l）－Dimensional Modified Dispersive Water－Wave System

In this work, we reveal a novel phenomenon that the localized coherent structures of some (2 1)-dimensional physical models possess chaotic and fractal behaviors. To clarify these interesting phenomena, we take the (2 l)-dimensional modified dispersive water-wave system as a concrete example. Starting from a variable separation approach,a general variable separation solution of this system is derived. Besides the stable located coherent soliton excitations like dromions, lumps, rings, peakons, and oscillating soliton excitations, some new excitations with chaotic and fractal behaviors are derived by introducing some types of lower dimensional chaotic and fractal patterns.     

Some New Exact Solutions to the Dispersive Long－Wave Equation in（2＋1）－Dimensional Spaces

In this paper, by using a further extended tanh method- and symbolic computation system, some new soliton-like and period form solutions of the dispersive long-wave equation in (2 l )-dimensional spaces are obtained.     

Symbolic Computation and Construction of Soliton－Like Solutions to the（2＋l）－Dimensional Breaking Soliton Equation

Based on the computerized symbolic system Mapte, a new generalized expansion method of Riccati equation for constructing non-travelling wave and coefficient functions‘ soliton-like solutions is presented by a new general ansatz. Making use of the method, we consider the (2 1)-dimensional breaking soliton equation, ut buxxy 4buvx 4buxv = O,uv=vx, and obtain rich new families of the exact solutions of the breaking sofiton equation, including then on-traveilin~ wave and constant function sofiton-like solutions, singular soliton-like solutions, and triangular function solutions.     

sl玻色子体系在U(2l+1)→O(2l+2)过渡区的严格解

利用无穷维李代数方法得到了相互作用sl玻色子体系在U(2l+1)→O(2l+2)过渡区的能谱和波函数的严格解. 给出了该系统Bethe假定方程的数值解法.     

sl玻色子体系在U(2l+1)O(2l+2)过渡区的严格解

利用无穷维李代数方法得到了相互作用sl玻色子体系在U( 2l+ 1 ) O( 2l+ 2 )过渡区的能谱和波函数的严格解 .给出了该系统Bethe假定方程的数值解法 .     

Folded Solitary Waves and Foldons in （2＋1） Dimensions

A general type of local/zed excitations, folded solitary waves and foldons, is defined and studied both analytically and graphically. The folded solitary waves and foldons may be “folded“ in quite complicated ways and possess qnite rich structures and abundant interaction properties. The folded phenomenon is quite universal in the real natural world. The folded solitary waves and foldons are obtained from a quite universal formula and the universal formul is valid for some quite universal (2 1)-dimensional physical mode/s. The “universal“ formula is also extended to a more general form with many more independent arbitrary functions.     

YAG晶体中Cr~（3＋）→Tm~（3＋），Er~（3＋）→Tm~（3＋）的能量

研究了加入敏化离子Ｃｒ３＋和Ｅｒ３＋的Ｔｍ：ＹＡＧ晶体的吸收谱和荧光谱，计算了Ｃｒ３＋、Ｅｒ３＋、Ｔｍ３＋离子的２Ｅ、４Ｉ１３／２、３Ｆ４能态的平均寿命及能量；转移效率、转移速率．得出Ｃｒ３＋→Ｔｍ３＋转移效率为８０％，转移速率为２．１×１０３ｓ－１．由（Ｅｒ，Ｔｍ）：ＹＡＧ的荧光谱可见存在Ｅｒ３＋→Ｔｍ３＋的有效的能量转移．讨论了Ｃｒ３＋→Ｔｍ３＋和Ｅｒ３＋→Ｔｍ３＋能量转移的不同．     

掺Ce~（3＋）、Tb~（3＋）的M_3Y_2（BO_3）_4（M＝Ca，Sr）

采用固相反应的方法；经二次灼烧合成了掺Ｃｅ（３＋）、Ｔｂ（３＋）的Ｃａ３Ｙ２（ＢＯ３）４和Ｓｒ３Ｙ２（ＢＯ３）４磷光体；分析了合成过程中铈的还原情况．用Ｘ－射线衍射分析确定了它们的结构均为正交晶系，空间群Ｐ２１ｃｎ测定了Ｃｅ（３＋）和Ｔｂ（３＋）在两种基质中的光谱，得到Ｃｅ（３＋）波长位移的某些规律，观察到Ｃｅ（３＋）对Ｔｂ（３＋）的敏化作用．     

CS2分子^1B2（^1∑u^＋）态预解离动力学研究

研究了CS2分子^1B2(^1∑u^+)预离解态线形势垒下的g振动能级光解动力学，包括预解离寿命、产物振转布居、平动-振动-转动能量分配和解离通道分支比．在实验过程中，一束可调谐激光激发超声射流冷却的CS2分子到^1B2(^1∑u^+)电子态，光解产物CS用另一束可调谐激光通过激光诱导荧光(LIF)方法检测．通过拟合光解碎片激发谱的谱峰轮廓，获得了源于不同跃迁初始态的^1B2(^1∑u^+)态g振动能级的预解离寿命．通过分析CS的LIF光谱，则获得了不同光解波长下CS碎片的v=0—8振动态布居、v=1、4—8振动态的转动布居、能量分配以及两个预解离通道CS(X^1∑^+)+S(^3PJ)和CS(X^1∑^+)+S(^1D2)的分支比．实验还考察了初始态弯曲振动量子数v2″、振动角动量量子数l对解离动力学的影响．发现v2″的影响不大，而l的影响却是明显的．较大的l(=K)对应于较短的寿命和较小的通道分支比S(^3PJ)／S(^1D2)，即大的l(=K)有利于预解离的发生，同时更有利于产生S(^1D2)．     

Exact Solutions of （2＋1）-Dimensional Euler Equation Found by Weak Darboux Transformation

The weak Darboux transformation of the （2＋1） dimensional Euler equation is used to find its exact solutions. Starting from a constant velocity field solution, a set of quite general periodic wave solutions such as the Rossby waves can be simply obtained from the weak Darboux transformation with zero spectral parameters. The constant vorticity seed solution is utilized to generate Bessel waves.     

Study of （2＋1）-Dimensional Higher-Order Broer-Kaup System

Painleve property and infinite symmetries of the （2＋1）-dimensional higher-order Broer-Kaup （HBK） system are studied in this paper. Using the modified direct method, we derive the theorem of general symmetry gro.ups to （2＋1）-dimensional HBK system. Based on our theorem, some new forms of solutions are obtained. We also find infinite number of conservation laws of the （2＋1）-dimensional HBK system.     

A Maple Package on Symbolic Computation of Conserved Densities for （1＋l）-Dimensional Nonlinear Evolution Systems

A new algorithm for symbolic computation of polynomial-type conserved densities for nonlinear evolution systems is presented. The algorithm is implemented in Maple. The improved algorithm is more efficient not only in removing the redundant terms of the general form of the conserved densities but also in solving the conserved densities with the associated flux synchronously without using Euler operator. Furthermore, the program conslaw. mpl can be used to determine the preferences for a given parameterized nonlinear evolution systems. The code is tested on several well-known nonlinear evolution equations from the soliton theory.     

基于Ru（bpy）3^2＋印刷电极的电致化学发光传感器的研制

利用丝网印刷技术制备了基于Ru(bpy)23 (钌联吡啶)的印刷电极电致化学发光传感器,这种传感器具有制作简单、成本低、重现性好、对草酸盐的响应范围宽、检测限低等优点。详细研究了电极的制作方法以及发光试剂的固定化。在最优条件下,在pH 6.0的0.2 mol.L-1磷酸盐缓冲液中,利用所研制的ECL传感器测定C2O24-,线性响应范围为3.0×10-7~1.0×0-5mol.L-1,检测限为1.2×10-7mol.L-1(S/N=3)。根据同样的原理也可以用来测定其他的成分,如氨基酸,TprA(三丙胺),NAD(烟酰胺腺嘌呤二核苷酸)等物质。同时应该指出的是如果使用丝网印刷机器进行印刷的话,电极的重现性和稳定性还可以进一步提高。     

New Complexiton Solutions of （2＋1）-Dimensional Nizhnik-Novikov-Veselov Equations

In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the （2＋ 1 ）-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations.     

Eu^3＋的掺杂浓度对NaLa（WO4）2：Eu^3＋发光性能的影响

采用水热法,合成了NaLa（WO4）2：Eu^3＋纳米发光材料。利用激发光谱和发射光谱研究了材料的发光特性。结果表明,Eu^3＋离子的掺杂浓度为3%时,样品有较好的发光特性。样品的激发光谱有3个主激发峰,分别位于270、392nm和464nm处。发射光谱主峰为614nm线谱,此为Eu3＋的发光。     

变系数（2＋1）维Broe-Kaup方程的新精确解

通过一个简单的变换，变系数(2 1)维Broer-Kaup方程被简化为人们熟知的变系数Burgers方程。利用近年来广泛使用的齐次平衡法和tanh-函数法，获得了变系数(2 1)维Broer-Kaup方程的一些新的精确解。     

Variable Separation Solutions in （1＋1）-Dimensional and （3＋1）-Dimensional Systems via Entangled Mapping Approach

In this paper, the entangled mapping approach （EMA） is applied to obtain variable separation solutions of （1＋1）-dimensional and （3＋1）-dimensional systems. By analysis, we firstly find that there also exists a common formula to describe suitable physical fields or potentials for these （1＋1）-dimensional models such as coupled integrable dispersionless （CID） and shallow water wave equations. Moreover, we find that the variable separation solution of the （3＋1）-dimensional Burgers system satisfies the completely same form as the universal quantity U1 in （2＋1）-dimensional systems. The only difference is that the function q is a solution of a constraint equation and p is an arbitrary function of three independent variables.     

Symmetry and Similarity Solutions of a （2＋1）-Dimensional Generalized Broer-Kaup System

We study the symmetries of a （2＋1）-dimensional generalized Broer-Kaup system by means of the classical Lie group theory. The corresponding group algebra is constructed. Based on the symmetries, severaJ types of similarity solutions are obtained.     

Symmetry Analysis of （2＋1）—Dimensional Nonlinear Klein—Gordon Equations

We have obtained two types of two-dimensional similarity reductions for the (2 1)-dimensional Klain-Gordon system using the standard classical Lie group approach with computer algebra.The well-known one-dimension al reductions,radial and travelling reductions are equivalent to the two special cases of our general two-dimensional reductions.