一个扭结子产生系统(英文)

通过对一般的非线性场方程的稳定性分析,选取合适的类Schrodinger方程的势函数,得到了一个扭结子解系列,包括已知的Sine Gordon扭结、4扭结和DQ扭结,其他未知的扭结子种类可能对应于较复杂的非线性场方程.

非线性势场与多扭结子解之间的关系

通过对非线性场方程扭结子（ｋｉｎｋ）解的研究，发现了静态场方程解φｎ 都可由φ２ 迭加组合构成．并由此得出场变量φｎ 相应的势场函数．

非线性场方程与多扭结子系统

通过对非线性场方程扭结子（ｋｉｎｋ）解的稳定性研究，发现了除著名的Ａ扭结子和Ｓｉｎｅ－Ｇｏｒｄｏｎ扭结子以外的其他另一些未曾出现过的扭结子。

Burgers-Sharma-Tasso-Olver 方程的孤子分子及其半周期扭结子解

孤子分子在光学系统、波色爱因斯坦凝聚及激光研究等领域具有重要的理论和实验指导意义。文章借助分子共振理论,得到了Burgers-Sharma-Tasso-Olver(BSTO)方程的孤子分子,并分析其产生和形成的机理,且引入速度共振机制获得了半周期扭结子解,揭示了分子孤子的聚变和裂变现象。

氢键分子链中原子间非谐相互作用下扭结反扭结孤子的特性

在氢键分子链中,运用直接微扰方法,以二分量孤子模型为基础,研究了两类不同子晶格中原子间3次方到4次方非谐相互作用对扭结 反扭结孤子的影响,计算了非谐性下扭结 反扭结孤子的能量、动量、有效质量和电荷密度,结果与实验观察相一致.

Oriented quantum coalgebra structure on the tensor product of an oriented quantum coalgebra with itself

Oriented quantum algebras （coalgebras） are generalizations of quasitriangular Hopf algebras （coquasitriangular Hopf algebras） and account for regular isotopy invariants of oriented 1-1 tangles, oriented knots and links. Let （H, or, D, U） be an oriented quantum coalgebra over the field k. Then （H×H, φ, D×D, U× U） is a trivial oriented quantum coalgebra structure on the tensor product of coalgebra H with itself, where φ （a × b, c × d） = σ-（ a, c）σ （b, d）. This paper presents the oriented quantum coalgebra structure （ H×H, σ, D×D, U× U） on coalgebra H× H, where σ（ a × b, c× d） = σ ^-1 （ d1, a1 ） σ（ a2, c1 ） σ^-1 （ d2, b1 ） σ（ b2, c2 ）. So a nontrivial oriented quantum coalgebra structure is obtained and it is dual to Radford＇s results in the paper ＂On the tensor product of an oriented quantum algebra with itself＂ published in 2007. Theoretically, the results of this paper are important in constructing the invariants of oriented knots and links.

Special nanostructures in Al-Mg alloys subjected to high pressure torsion

Deformation twins and stacking faults were observed in nanostructure A1-Mg alloys subjected to high pressure torsion. These observations are surprising because deformation twinnings have never been observed in their coarse-grained counterparts under normal conditions. Experimental evidences are introduced on non-equilibrium grain boundaries, deformation twinnings and partial dislocation emissions from grain boundaries. Some of these features can be explained by the results reported from molecular-dynamics simulations of pure FCC metals. Special emphasis is laid on the recent observations of high density hexagonal and rhombic shaped nanostructures with an average size of 3 nm in the A1-Mg alloys processed by high pressure torsion. A possible formation process of these nanostructures is proposed based on molecular-dynamics simulations.

Realization of Vertex Operators of 7-Twisted Affine Lie Algebra ■[θ]

In this paper, we construct a new algebra structure 7-twisted atone Lie algebra sl（3,C）[θ] and study its vertex operator representations.

U_q（sl（2））的二维循环表示，C—G系数和一个自由费米子八顶角模型

明确地构造了量子代数Ｕｑ（Ｓｌ（２））当ｑ＝ｉ和ｚ中心扩张时的两维循环表示，此表示是既约的；给出了张量表示的Ｃ—Ｇ规则和Ｃ—Ｇ系数以及不同次序张量表示的扭结子（Ｉｎｔｅｒｔｗｉｎｅｒ）．此扭结子是一个满足自由费米子条件的八顶角Ｒ矩阵，因此给出了一个可积顶角模型．

Output Speed and Torque of Differential Double-Stator Swing Hydraulic Multimotors

A new type of differential double-stator swing hydraulic motor, based on double stator structure, was introduced. Compared with the traditional swing hydraulic motors, it could provide various kinds of rotational speeds and torques under the same conditions of input flow rate and pressure. The operating prindple and graphic symbols were described. The output speed and torque characters in multifarious connection modes were analyzed through single-acting differential double-stator swing hydraulic multi-motors. Then the differential connection modes and differential principles of differential double-stator swing hydraulic multi-motors were stated. Furthermore, the output speed and torque characters of double- acting and triple-acting ones in multifarious connection modes were gotten. The interaction between output torque and the displacement ratio was studied. Finally, the internal leakage that influenced the volumetric efficiency was researched. The theoretical and experimental researches show that the differential double-stutor swing hydraulic multi-motors can provide various kinds of rotational speeds and torques. Predictably, this new kind of swing hydraulic multi-motors has broad application prospects in machine tool equipments, engineering machineries, and simulation turntables.

Strain- and twist-engineered optical absorption of few-layer black phosphorus

Density functional and many-body perturbation theories calculations were carried out to investigate fundamental and optical bandgap, exciton binding energy and optical absorption property of normal and strain- and twist-engineered few-layer black phosphorus （BP）. We found that the fundamental bandgaps of few layer BP can be engineered by layer stacking and in-plane strain, with linear relationships to their associated exciton binding energies. The strain-dependent optical absorption behaviors are also anisotropic that the position of the first absorption peak monotonically blue-shifts as the strain applies to either direction for incident light polarized along the armchair direction, but this is not the case for that along the zigzag direction. Given those striking properties, we proposed two prototype devices for building potentially more balanced light absorbers and light filter passes, which promotes further applications and investigations of BP in nanoelectronics and optoelectronics.

Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra

The compatible left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra with some natural grading conditions are completely determined. The results of the earlier work on left-symmetric algebra structures on the Virasoro algebra play an essential role in determining these compatible structures. As a corollary, any such left-symmetric algebra contains an infinite-dimensional nontrivial subalgebra that is also a submodu]e of the regular module.

Multiply Kink and Anti-Kink Solutions for a Coupled Camassa–Holm Type Equation

This article amis at revealing dynamical behavior of a coupled Camassa–Holm type equation, which was proposed by Geng and Wang based on a 4×4 matrix spectral problem with two potentials. Its kink and anti-kink solutions are presented explicitly. In particular, some exact multi-kink and anti-kink wave solutions are discussed and under some conditions, the kink and anti-kinks look like hat-shape solitons. The dynamic characters of the obtained solutions are investigated by figures. The method used in this paper can be widely applied to looking for the multi-kinks for Camassa–Holm type equations possessing cubic nonlinearity.

Topological flat bands in twisted trilayer graphene

Twisted trilayer graphene(TLG)may be the simplest realistic system so far,which has flat bands with nontrivial topology.Here,we give a comprehensive calculation about its band structures and the band topology,i.e.,valley Chern number of the nearly flat bands,with the continuum model.With realistic parameters,the magic angle of twisted TLG is about 1.12°,at which two nearly flat bands appears.Unlike the twisted bilayer graphene,a small twist angle can induce a tiny gap at all the Dirac points,which can be enlarged further by a perpendicular electric field.The valley Chern numbers of the two nearly flat bands in the twisted TLG depends on the twist angleθand the perpendicular electric field E⊥.Considering its topological flat bands,the twisted TLG should be an ideal experimental platform to study the strongly correlated physics in topologically nontrivial flat band systems.And,due to its reduced symmetry,the correlated states in twisted TLG should be quite different from that in twisted bilayer graphene and twisted double bilayer graphene.