Backlund transformation and variable separation solutions for the generalized Nozhnik—Novikov—Veselov equation

Using the extended homogeneous balance method, the B?cklund transformation for a (2+1)-dimensional integrable model, the generalized Nizhnik－Novikov－Veselov (GNNV) equation, is first obtained. Also, making use of the B?cklund transformation, the GNNV equation is changed into three equations: linear, bilinear and trilinear form equations. Starting from these three equations, a rather general variable separation solution of the model is constructed. The abundant localized coherent structures of the model can be induced by the entrance of two variable-separated arbitrary functions.     

关于设计性物理实验的几个问题

对设计性物理实验的教育功能进行了探讨，并以“用电位差计校正毫安表”为例，介绍了如何对学生的动手能力进行评价．     

一图多得受益匪浅

以△ABC的三边(a、b、c)为边分别向形外作正方形,得如图1所示的形状.如果改变△ABC的形状,可以得到不同的结论. 1.当△ABC是锐角三角形时如图2,过△ABC的三个顶点分别作AH⊥ED,BQ⊥GF,CP⊥MN,垂足分别为H、Q、P.显然AH、BQ、CP交于一点O,设三个正方形分别被AH、BQ、CP分成的矩形依次为Ⅰ、Ⅱ、Ⅲ、Ⅳ、Ⅴ、Ⅵ.     

外来的捕食物种对濒危物种的影响

In this paper, an important problem arising from conservation biology is considered. Namely, how does the introduced species affect the survival of a native endangered species through predation? By using Kamke comparison theorem and some results in Cui and Chen‘s paper (1998), some sufficient conditions that guarantee the permanence of the species and global stability of a unique positive periodic solution are obtained. Biological implication of these results are discussed.     

二阶三点半正边值问题正解的存在性

利用锥的Krasnosel'skill不动点定理建立了二阶三点半正边值问题u″+λf(t,u)+δg(t,u)=0, t∈(0,1),u(0)=0, αu(η)=u(1).其中,λ,δ＞0, 0＜η＜1, 0＜αη＜1正解的存在性,这里,非线性项不需要是非负的.     

对珠算穿梭式加减法的一点改进

珠算穿梭式加减法，是珠算界学者、专家在总结传统加减算法的基础上，根据珠算自身的性质，而改进推出的一种新的珠算加减打法，它不仅改进了传统加减法中手指逆向(自右向左)空回的缺陷，也大大地提高了珠算加减法的运算速度。但是，经过几年的实践，广大珠算爱好者们发现，珠算穿梭式加减法在进行逆向加减运算时，     

YBa2—xMxCu3O7—δ（M=Ca,Sr）的晶体结构与超导电性

通过对正交单相 YBa_(2-x)M_xCu_3O_(7-δ)(M=Ca,x=0.05,0.1,0.25;M=Sr,x=0.1,1.0)样品的晶格参数、超导电性、氧含量以及 Hall 系数的测量,发现随着替代元素含量的增加,体系氧含量基本不变,正交化程度减弱,四方化程度增强,Cu-O 面上的载流子浓度减少,超导中点转变温度(T_c)呈下降的趋势.分析表明,四方化程度增强与局域结构扭曲密切相关;Cu-O 面上的载流子浓度对高 T_c 的超导电性影响很大.     

LIE ALGEBRA K$(n,\mu _j,m)$ OF CARTAN TYPE OF CHARACTERISTIC p=2

Let $K(n,\mu _j,m),n=2r+1$,denote the Lie algebra of characteristic p=2,which is defined in [4].In the paper the restrictability of $K(n,\mu _j,m)$ is discussed and it is proved that,when $r\equiv 1(mod 2)$ and $r>1,I(ad f)=n+1$ if and only if $0\neq f \in $. Then the invariance of some filtrations of K(n,\mu,m) and the condition of isomorphism of K(n,\mu _i,m) and K(n',\mu _j ^',m') are obtained.Besides,the generators and the derivation algebra of K(n,\mu _i,m) are discussed.The results also hold,when $r\equiv 0 (mod 2)$ and r>0.