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In the fourth chapter we deal with the eigenspace (see 4.1) and singular space (see 4.2) perturbations.

第四章讨论了特征空间(见§4.1)和奇异空间见§4.2的扰动。

In this paper, we shall study the eigenvalue problem of a singular quasilinear elliptic equation.

本文讨论奇异椭圆型方程的特征值问题。

This paper reviews the applications of singular integral equation to the scattering problems of elastic waves by cracks, especially by interface cracks, which were made during past two decades.

结合20多年来国内外的研究成果,评述奇异积分方程在裂纹体弹性波散射问题中的应用,特别是在界面裂纹散射问题中的应用。

Singular integral equation ; crack ; interface crack ; elastic wave scattering ; fracture dynamics

奇异积分方程;裂纹;界面裂纹;弹性波散射;断裂动力学

In this paper a new variational method for approximating the semilinear singular parabolic equation is given by using continuous finite elem...

本文利用连续时空有限元法对半线性奇异抛物方程进行了研究,利用线性化方法给出了有限元解的存在性证明和理论误差估计。

Q 12. 12. Existence of solution for a singular critical elliptic equation, J.

11。一类带有奇异项的临界椭圆方程正解的存在性,《中南民族大学学报》2003年第4期,独著。

In this paper, a uniform numerical solution of the elliptic equation singular perturbation problem with two directions of turning points is considered.

讨论具有双向转向点的椭圆型方程奇摄动问题的一致数值解法,证明带指数型拟合因子的差分格式关于小参数ε的一致收敛结果。

It reduces a boundary valueproblem of elliptic equation to a singular integral equation on the boundary containing the finitepart of divergent integrals in the sense of distrib...

本文是在导师冯康教授指导下完成的,作者谨在此对他表示衷心的感谢。

Furthermore, all solutions obtained are non-radially symmetric. The second part of the thesis studies a type of elliptic equations with singular coefficient i.

与以前工作不同的是,尽管问题具有径向对称形式,本文所给出的这些解都是非径向对称的。

In chapter 3,we study the Zakharov-Kuznetsov-Modified Equal-Width equation by employing the extended Jacobi elliptic function expansion method and obtain some new solutions of Jacobi elliptic function type of the ZK-MEW equation.;Secondly,using sn-cn method,we study K(m,n,1) equation and obtained some new exact solutions when k=s=3,especially obtained abundand solitary solutions and trigonometric function solutions when m→0 and m→1;In chapter 4,Painleve singular analysis was applied to nonlinear PDE with variable coefficients.

第四章将Painleve奇性分析方法应用到带阻尼项的变系数Burgers方程中,并得到了该类Burgers方程具有Painleve性质的条件,给出了该类Burgers方程的Backlund变换,用所得Backlund变换得到了若干精确孤立波解,包括奇异孤立波解,这些解不等同于行波型孤立波解;用齐次平衡法得到了对数型DBM方程的Backlund变换,并获得了DBM方程的各种孤立波解,包括尖峰孤立波解和奇异尖峰孤立波解。

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