| 1. | In chapter 5 . we discuss the patch perturbations of a integrable system
第五章研究了可积系统的轨线变分问题。 |
| 2. | Classical completely integrable system generated through nonlinearization of an eigenvalue problem
一个特征值问题的非线性化及其生成的经典可积系统 |
| 3. | In chapter 2, we introduce a " integrable system " and make a research on its general nature
第二章提出了可积系统概念，研究了该系统的一般性质。 |
| 4. | 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。 |
| 5. | Firstly, we give a basic notion and basic theory of c-d pair and c-d integrable system and then we study their applications
首先给出了c-d对和c-d可积系统的基本理论，然后是具体研究了它们的应用。 |
| 6. | It is studied that the cmc surfaces in the sphere space of dimension 3 by means of integrable system and its spectral transformation is given
利用可积系统的方法研究3维球空间中的常中曲率cmc曲面，并给出了曲面的谱变换。 |
| 7. | Further they are the near integrable systems . in chapter 1, we briefly introduce the near integrable systems, and give the background in physics and the developments in mathematics for the quintic and derivative nonlinear schrodinger equations
在第一章绪论中，我们简要介绍了近可积系统的相关内容，给出了具五次和导数项的非线性schr( |
| 8. | Further they are the near integrable systems . in chapter 1, we briefly introduce the near integrable systems, and give the background in physics and the developments in mathematics for the quintic and derivative nonlinear schrodinger equations
在第一章绪论中，我们简要介绍了近可积系统的相关内容，给出了具五次和导数项的非线性schr( |
| 9. | Then the nonlinearization procedure is applied to the eigenvalue problem of mkdv-nls hierarchy . under bargmann constraint, it is shown that lax pairs are nonlinearized to be two finite-dimensional liouville completely integrable system
同时，应用非线性化技巧，证明了在bargmann约束下，mkdv-nls方程族的lax对可被非线性化为两个有限维liouville完全可积系。 |
| 10. | It is has been known that the energy spectra statistic of a chaotic system agrees with wigner distribution which is achieved from random matrix theory and the one of a integrable system is poisson distribution achieved originally from the irregular spectra
一个经典混沌系统的量子能谱统计分布满足由随机矩阵理论所导出的winger分布，而可积系统满足无规能谱的统计分布即泊松分布。 |
