Novel loop-like solitons for generalized Vakhnenko equation

A nontraveling wave solution of a generalized Vakhnenko equation arising from the high-frequent wave motion in a relaxing medium is derived via the extended Riccati mapping method. The solution includes an arbitrary function of an independent variable. Based on the solution, two hyperbolic functions are chosen to construct new solitons. Novel single-loop-like and double-loop-like solitons are found for the equation.     

浅谈挖孔灌注桩基础施工

结合某工程采用挖孔灌注桩基础的施工实践，分析了挖孔灌注桩的设计构造与特点，详细阐述了其施工程序及施工方法     

Fundamental Solution for Operator L~m on the Heisenberg Group H~n

ＦｕｎｄａｍｅｎｔａｌＳｏｌｕｔｉｏｎｆｏｒＯｐｅｒａｔｏｒＬｍｏｎｔｈｅＨｅｉｓｅｎｂｅｒｇＧｒｏｕｐＨｎＭａＹｕｌａｎ（马玉兰）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＬａｎｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，Ｌａｎｚｈｏｕ，Ｇａｎｓｕ，７３...     

两类常微分方程的讨论

本文给出常微分方程Ｌξｆ＝０解的特性和常微分方程Ｌξｆξ＝０解的渐近行为。     

关于复合材料板断裂分析的Z因子讨论

本文对发表于国际工程断裂力学杂志第４３ 卷第５ 篇论文进行了讨论,并扩展了 Ｚ－ 断裂准则的使用范围,还推导出了复合材料特征值 Δ＜ ０ 时 Ｚ 因子的解析表达式。这些公式对航天复合材料板受弯断裂分析时非常重要。     

Interface crack problems for mode II of double dissimilar orthotropic composite materials

The fracture problems near the similar orthotropic composite materials are interface crack tip for mode Ⅱ of double disstudied. The mechanical models of interface crack for mode Ⅱ are given. By translating the governing equations into the generalized hi-harmonic equations, the stress functions containing two stress singularity exponents are derived with the help of a complex function method. Based on the boundary conditions, a system of non-homogeneous linear equations is found. Two real stress singularity exponents are determined be solving this system under appropriate conditions about bimaterial engineering parameters. According to the uniqueness theorem of limit, both the formulae of stress intensity factors and theoretical solutions of stress field near the interface crack tip are derived. When the two orthotropic materials are the same, the stress singularity exponents, stress intensity factors and stresses for mode II crack of the orthotropic single material are obtained.     

(G'/G)展开法构造非线性Vakhnenko方程的新精确解

探索新的求解方法和获得新精确解是研究非线性发展方程的两个主要内容[1-15].王明亮等[16]提出了基于齐次平衡原则和二阶线性常微分方程的(G'/G)展开法,并已经成功应用于计算不同类型非线性方程的新精确解[17-19].     

两类偏微分算子的非解析亚椭圆性

讨论两类偏微分算子的非解析亚椭圆性 ,所用方法是直接构造这些算子的奇异解后 ,将问题转化成对某些特殊的常微分方程的讨论。该构造过程是非常清晰和直接的 ,而且它涉及到那些带有依赖大参数位势的广义调和振子的第一特征值和第一特征函数的研究。     

海森堡群H~n上算子_μ~m的可解性和亚椭圆性

该文给出海森保群Hn上偏微分算子的显式基本解um,据此um,研究算子的可解性和亚椭圆性．     

二维空间上具缓减初值的齐次波动方程的研究

本文讨论齐次波动方程：ｕｔｔ－Δｕ＝０具缓减初值ｆ（ｘ），ｇ（ｘ）时Ｄαｘｕ的增长问题，其中ｕ（ｘ，０）＝ｆ（ｘ），ｕｔ（ｘ，０）＝ｇ（ｘ）．