含凹凸非线性项的一般拟线性椭圆方程解的存在性

本文利用带截断函数的变量替换和临界点理论,研究来自于等离子体物理学中含凹凸非线性项的一般拟线性薛定谔方程非平凡解的存在性.所得结果关于非线性项的指数只需要满足超线性条件.     

高维波动方程的一些新的多孤子解

利用基方程技术和求解基方程新解的变换公式,求得n+1维非线性波动方程的一些新的多孤子解。Gibbon等人指出:多孤子解的孤子数受到限制,N≤2n+1.然而,本文结果表明,他们的结论是不正确的。孤子数N可以是一个任意正整数。 关键词：     

GRAIN SIZE DEPENDENT MAGNETISM IN GRANULAR MANGANESE PEROVSKITE La0.82Sr0.18MnO3

La_0.82Sr_0.18MnO₃ have been investigated. With grain growth, both an evident decrease of magnetization and the lattice distortions have been simultaneously observed. The phenomenon suggests a structure-coupled change of magnetism in the hole-doped manganese perovskite.     

晶体二极管伏—安特性曲线测试线路的改进

看了《物理实验》(1983年第1期),“晶体二极管伏——安特性曲线的一个测试线路”一文深受启发。它解决了在测试晶体二极管的伏——安特性时要改变加在二极管两端上的电压极性的问题,也解决了由于P—N结具有单向导电性质,故必须换用量和范围相差很大的电流表以及相应地变换电压表的测试位置,使得每做一条曲线,要变换表头的接线的问题,确实使实验操作较为方便。但是我们在实验中仍发现外接滑线变阻器时,线路零乱,器具较散,使用的电压表的量程不能同时满足正、反向时,电压值的读取精度一样。需要换不同量程     

倒向随机微分方程的Malliavin微分和共单调定理

本文利用Malliavin微分的理论研究了倒向随机微分方程的解$(y,z)$, 首先利用$y$的Malliavin微分得到了一种比较$z$的方法, 然后利用该方法得到了含有随机生成元的倒向随机微分方程的共单调定理.     

Storage and retrieval of ultraslow optical solitons in coherent atomic system

We investigate the propagation of intense probe pulses in a lifetime broadened Λ-type three-level atomic system with a configuration of electromagnetically induced transparency. We find that ultraslow optical solitons formed by a balance between dispersion and nonlinearity can be stored and retrieved in the system by switching off and on a control field. Such pulses are robust during storage and retrieval, and hence may have potential applications in optical and quantum information processing.     

GRAIN SIZE DEPENDENT MAGNETISM IN GRANULAR MANGANESE PEROVSKITE La0.82Sr0.18MnO3

La_0.82Sr_0.18MnO₃ have been investigated. With grain growth, both an evident decrease of magnetization and the lattice distortions have been simultaneously observed. The phenomenon suggests a structure-coupled change of magnetism in the hole-doped manganese perovskite.     

壳聚糖-丝心蛋白合金膜的研究(Ⅱ)──半互穿聚合物网络型膜对pH和离子的敏感性

研究了壳聚糖-丝心蛋白半互穿聚合物网络型膜对pH值和离子的敏感性,发现该膜在pH<3.3时溶胀度剧烈增加;在pH=2时,是否出现溶胀极大值与膜组分的含量及交联剂的含量有关;膜在不同pH值溶液中可交替溶胀和收缩,且这种溶胀-收缩行为重复可逆。同时,该膜在不同离子溶液中的溶胀度亦不同;在相同离子强度的溶液中,此膜在3价离子中的溶胀度最大。     

SOLITARY WAVES IN MARANGONI-BENARD CONVECTING FLUID

In this paper the evolution of nonlinear long surface waves in a Marangoni-Bénard convecting fluid is considered. The fluid system is bounded below by an isothermic plane and above a free deformable surface, on which a heat flux is fixed. We show that the nonlinear behavior of the long surface wave is governed by the Korteweg-de Vries equation when the Rayleigh number is near its critical value. A head-on collision between two solitary waves traveling from opposite directions is also investigated by use of the Poincaré-Lighthill-Kuo method. The results show that the solitary waves emerging from the collision can preserve their original identities to the second order. The phase shifts due to the collision are calculated analytically.