查询词典 integrable

Sphere;; affine geometry;; similarity geometry;; motion of surface;; integrable equation

论文导师屈长征，论文学位硕士，论文专业应用数学

For the DNLSE with NVBC, a simple adapted IST was recently derived by introducing an affine parameter, yielding a much simpler one-soliton solution. All previous researches demonstrate that, in known (1+1) dimensional one-component integrable systems, the DNLSE with NVBC is a rare instance simultaneously admitting bright solitons, dark solitons, as well as their bound states.

它是目前已知有物理意义的(1+1)维单分量可积系统中，唯一同时存在亮、暗孤子以及呼吸子型亮—暗孤子束缚对的系统，通过该模型研究亮暗孤子间的碰撞很有意义，为此需要得到多孤子解。

As applications of Riemannian surface and algebraic curve theory in integrable system, Abel-Jacobi coordinates are introduced suitably by the Lax matrix, from which straightening out of the flows are given.

作为Riemann面和代数曲线理论在可积系统中的应用，利用Lax矩阵合适地引入Abel-Jacobi坐标，使得对应的流拉直。

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1，1)到经典实半单Lie群的调和映照的具体构造，并给出其显式表示；其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面，将这些映照所满足的几何条件转化为可积系统，然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造；最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

We study the Dirac structures on protobialgebroid, give the integrable conditions for maximally isotropic subbundle being Dirac structure for protobialgebroid by the notion of characteristic pair. From the integrable conditions, we found out that Dirac structure has closed relations with twisting of protobialgebroid. Further, the closed relations are explained, the fact that twisting of protobialgebroids is a equivalence relation is verified.

详细研究了proto双代数胚匕的Dirac结构，给出了极大迷向子丛可积的充要条件，发现在这些充要条件中蕴含了proto双代数胚的扭关系，进一步阐明了扭与Dirac结构之间的内在联系，证明了扭在proto双代数胚范围内是等价关系。

The famous Kolmogorov-Arnold-Moster theory studies the perturbations of integrable systems, anti-integrable limit theory proposed several years ago studies the perturbations of"totally"chaotic system.

著名的KAM（Kolmogorov-Arnold-Moser）理论就是研究了可积系统的扰动。

In chapter 4, we discuss further some properties of generalized fuzzy inte-grable functions, and prove that not only generalized fuzzy integrable functions have the weak integral absolute continuity, but also sequences of generalized fuzzy integrable functions have uniform weak and absolute continuity.

进一步讨论了广义模糊可积函数的某些性质，证明了在广义三角模S满足(S-1)的条件下，不仅广义模糊可积函数具有弱积分绝对连续性，而且广义模糊可积函数列具有一致弱绝对连续性。

Thirdly, a multi-component form of equation(8)in reference[40]is worked out, then its Hamiltonian structure is presented byuse of the extended trace identity. Nextly, the expanding integrable model ofmulti-component integrable equation hierarchy is obtianed.

最后，将文献[40]中Liouville可积的方程族(8)式扩为多分量的形式，然后利用扩展的迹恒等式得到了该多分量方程族的HamiIton结构，接下来求出了多分量方程族的一类扩展可积模型。

The aim of this paper is an attempt to use the method of integrable systems to study integrable immersions of pse...

本文尝试利用可积系统办法来研究到伪黎曼空间形式N〓中的可积浸入问题。

Strategy for designing optimal bounded control to minimize the response of quasi partially-integrable Hamiltonian systems with stochastic excitations is proposed based on the stochastic averaging method for quasi partially-integrable Hamiltonian systems and the stochastic dynamical programming principle.

本文提出了一种基于拟部分可积Hamilton系统随机平均法和随机动态规划原理的最优有界控制策略。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。