Integrable systems, geometry, and topology .

可积系统，几何与拓扑。

Forany integrable module, the imaginary and real weight are defined.

特别我们定义了虚权和实权。

In free space this is an integrable system, and therefore an exact phase diagram can be obtained.

在均匀情况下，这是一个可积系统，可以得到该体系的一个严格相图。

It is proved that a function is Riemann integrable if and only if it is continuous almost everywhere.

证明了函数可积的充要条件是该函数几乎处处连续。

Existence, approximation and stability of integrable minimum positive solutions for the above equation are gained.

并得到了上述方程可积极小正解的存在性 、 逼近性、稳定性.

In this paper, a kind of commutation representations of the TA-integrable evolution equation hierarchy is presented.

给出了TA—可积发展方程族的换位表示，并讨论了换位表示与定态TA—方程之间的关系。

The question on bifurcation of limit cycles in quadratic conservative perturbations of a quadratic integrable system is discussed.

研究了一个具有同宿轨的二次可积系统在二次保守扰动下的分支现象。

This paper investigates the integrable inhomogeneous generalized Heisenberg ferromagnet model by using the prolongation structure theory.

摘要利用延拓结构研究了可积的非均匀推广的海森堡铁磁链方程.

The major contents in this paper include: the exact solutions of the nonlinear evolution equations and the extended integrable models of which are Hamiltonian form.

本文主要研究了两方面的内容： 非线性发展方程的精确解与具有Hamilton结构的可积扩展模型。

Two kinds of generalizations of the first mean value theorem of integral for integrable functions with different properties are established in the paper, the results extend the previous conclusions.

本文建立了两类可积函数的积分第一中值定理的推广形式，推广了已有结论。