Functional Variable Separation for Generalized （1＋2）-Dimensional Nonlinear Diffusion Equations

The functional variable separation approach is applied to study the generalized (1 2)-dimensional nonlinear diffusion equations. Complete classification for those equations admitting the functional separable solutions and some such exact solutions are obtained. Consequently, the results reported previously are widely extended.     

Approximate Generalized Conditional Symmetries for the Perturbed General KdV-Burgers Equation

The approximate generalized conditional symmetry （AGCS） approach we previously proposed [Chin. Phys.Lett. 23 （2006） 527] is applied to study the perturbed general KdV-Burgers （KdVB） equation. Complete classification of those perturbed general KdVB equations which admit certain types of A GCSs is obtained. Approximate solutions to the perturbed equations can be derived from the corresponding unperturbed ones.     

熔融法制备纳米管Li-Ti-O化合物及其表征

在熔融的LiNO₃中，以纳米管钛酸钠为母体进行锂-钠离子交换，制得了具有高表面积的纳米管Li-Ti-O化合物(198.6 m²·g^-1)。XRD、XPS、TG表征结果表明: 此纳米管Li-Ti-O化合物包含两种晶型物质, 即立方尖晶石结构的Li₂Ti₂O₄和锐钛矿结构的Li_xTiO₂(x＜0.1)]，Li⁺在这两种晶型物质中的结合能不同；在空气中此纳米管Li-Ti-O化合物具有较强的吸水性，化学吸附水在高于400 ℃时才开始脱附。     

化工传递过程中的类似性

通过分析化工过程中的传递现象 ,总结了动量传递、热量传递和质量传递过程的一些类似性 ,并且讨论了这些类似性的理论和应用价值。     

修正Broer-Kaup-Kupershmidt(mBKK)方程组的李对称分析,非线性自伴随及守恒律

利用李群分析法研究修正Broer-Kaup-Kupershmidt(mBKK)方程组,求得方程组的李对称.根据Ibragimov定理证明mBKK方程组具有非线性自伴随性,并由此构造方程组对称对应的无穷多守恒律.     

超细稀土氧化物粉体粒度测定

采用美国布鲁克海文仪器公司制造的90 Plus粒度仪测定超细稀土氧化物粉体粒度. 以氧化钇为研究对象, 研究了分散剂、悬浮介质、待测样品浓度、分散时间等因素对亚微米级氧化钇粉体粒度测量精度的影响. 由此确定了能准确测定亚微米级氧化钇粉体粒度的测量条件.     

Conditional Lie-Bcklund Symmetry and New Variable Separation Solutions of the Third Order KdV-Type Equations

The functionally generalized variable separation solutions of a general KdV-type equations u_t=u_(xxx) +A(u, u_x)u_(xx) + B(u, u_x) are investigated by developing the conditional Lie-Backlund symmetry method. A complete classification of the considered equations, which admit multi-dimensional invariant subspaces governed by higher-order conditional Lie-B¨acklund symmetries, is presented. As a result, several concrete examples are provided to construct functionally generalized variable separation solutions of some resulting equations.