Hamilton结构
Hamilton结构的相关文献在1989年到2019年内共计53篇，主要集中在数学、物理学、社会科学机构、团体、会议
等领域，其中期刊论文53篇、专利文献1757687篇；相关期刊38种，包括泰山学院学报、潍坊学院学报、鲁东大学学报（自然科学版）等；
Hamilton结构的相关文献由60位作者贡献，包括张玉峰、张鸿庆、于宪伟等。
Hamilton结构—发文量
专利文献>
论文：1757687篇
占比：100.00%
总计：1757740篇
Hamilton结构
-研究学者
- 张玉峰
- 张鸿庆
- 于宪伟
- 张宁
- 赵晶
- 龚新波
- 夏铁成
- 岳超
- 徐秀丽
- 徐西祥
- 曹付华
- 李玉青
- 王志宏
- 王聪华
- 董焕河
- 蒋志民
- 赵晓华
- 赵晓赞
- 丁海勇
- 于义
- 于加东
- 关红阳
- 冯滨鲁
- 刘斌
- 刘照军
- 刘青平
- 周运华
- 商万群
- 孟大志
- 宋明
- 屈哲
- 巩乃晓
- 常双领
- 常辉
- 张培爱
- 张大军
- 张旭
- 戴灿华
- 斯仁道尔吉
- 李欣越
- 李雪花
- 杨耕文
- 杨记明
- 梅建琴
- 王新赠
- 王玉清
- 胡星标
- 范恩贵
- 赵兴鹏
- 赵秋兰
-
-
岳超
-
-
摘要：
由3×3等谱Lax矩阵导出了非线性Schr?dinger-MKdV(NLS-MKdV)方程族,应用迹恒等式得到了其Hamilton结构.为方便构造代数几何解,我们将3×3矩阵等谱问题转化为等价的2×2问题,借助Riemann theta函数,求出了耦合的NLS方程及耦合的MKdV方程的代数几何解.
-
-
张宁；
夏铁成
-
-
摘要：
该文引入一个离散特征值问题,导出一族离散可积系,建立了它们的Hamilton结构,证明了它们Louville可积性.通过谱问题双非线性化,得到了一个可积辛映射与一族有限维完全可积系,最后给出了离散可积系统解的表示.%In this paper,a discrete matrix spectral problem is introduced and a hierarchy of discrete integrable systems is derived.Their Hamiltonian structures are established,and it is shown that the resulting discrete systems are all Liouville integrable.Through binary nonlinearization method,the Bargmann symmetry constraint and a family of finite-dimension completely integrable systems are obtained.Finally,the representation of solutions for the discrete integrable systems are given.
-
-
-
常辉；
屈哲；
陶可勤
-
-
摘要：
A new discrete spectral problem in the paper is devised, whose compatibility condition gives rise to a new positive hierarchy and a negative hierarchy of discrete integrable equations. Making use of the trace identity, their Hamiltonian structures are worked out respectively. The Darboux translation, bilinear form, symmetries, conservation laws, conserved quantities and their exact solutions of the resulting equation hierarchies are worth investigating in the future.%构造了一个新的等谱问题，利用相容性条件，推导出离散晶格方程的正族和负族。再利用迹恒等式，建立其Hamilton 结构。获得的离散方程族的达布变换、双线性化、对称、守恒率及其精确解也值得进一步研究。
-
-
魏含玉；
夏铁成
-
-
摘要：
Based on fractional isospectral problems and general bilinear forms, the generalized fractional trace identity is presented. Then, a new explicit Lie algebra is introduced for which the new fractional integrable couplings of a fractional soliton hierarchy are derived from a fractional zero-curvature equation. Finally, we obtain the fractional Hamiltonian structures of the fractional integrable couplings of the soliton hierarchy.
-
-
于义
-
-
摘要：
寻找新的可积方程族在孤立子理论中是十分重要的.首先,构造了一个新的方程族,利用高维Lie代数A2及其相应的loop代数A2,证明了此方程族是Lax可积的.其次,利用迹恒等式构造了Lax可积方程族的双Hamilton结构.最后,获得了此方程族的无穷多守恒密度,证明了此方程族为Liouville可积的.%It is important to search for new integrable equations hierarchies in soliton theory.First,a new equations hierarchy was constructed.Taking use of higher-dimension Lie algebra A2 and the corresponding loop algebra (A)2,it was proved that the equations hierarchy is Lax integrable.Then,the bi-Hamiltonian structures of the Lax integrable hierarchy were constructed by making use of the trace identity.Finally,the infinitely conserved densities for the equations hierarchy was obtained and it was proved that the Lax equations hierarchy is Liouville integrable.
-
-
常双领
-
-
摘要：
通过构造一个新的Lie 代数，利用它相应的Loop 代数设计等谱Lax 对，根据其相容性条件，得到了一族 Lax 可积方程族，其一种约化形式为著名的 AKNS 族。根据迹恒等式得到该方程族的Hamilton 结构。利用该可积方程族可以进一步研究它的达布变换、对称、代数几何解等相关性质。%By constructing a new Lie algebra and its corresponding Loop algebra, an isospectral Lax pair is established whose compatibility condition gives rise to a Lax integrable hierarcy, whose reduced form is the well-known AKNS hierarchy. Its Hamilton structure is obtained by the use of the trace identity. Then, its Darboux transformations, symmetry, algebro-geometric solutions, and so on will be investigated further.
-
-
于宪伟；
赵晓赞
-
-
摘要：
Based on a sub -algebra of a new loop algebra, an isospectral problem is designed, and an integrable hierarchy equations which is reduced to the NLS - MKDV hierarchy of equations is worked out by using Tu scheme. Besides, the structure of its Hamilton is established by using trace identity, and integrable coupling system is found.%由loop代数的一个子代数出发，建立一个新的等谱问题，利用屠格式导出了一类可积方程族，可约化为NLS—MKDV方程族．再利用迹恒等式建立其Hamilton结构，再进一步求出可积耦合系统．
-
-
-
巩乃晓
-
-
摘要：
Taking use of semi--direct sums of a semisimple Lie algebra and a solvable Lie algebra, nonlinear discrete integra ble couplings of Toda lattice hierarchy is constructed. And the Hamiltonian structure for the resulting discrete integrable cou plings by use of variational identities.%本文利用半单Lie代数和可解Lie代数的半直和得到了Todalattice方程族的一个非线性离散的可积耦合，并借助变分恒等式得到了其方程族的Hamilton结构。
