Supercontinuum generation in the irregular point of hollow-core photonic crystal fiber

Broadband supercontinuums (SC) are generated by soliton self-frequency shift (SSFS) of hollow-core photonic crystal fiber (HC-PCF) in our laboratory. With the pump works at 810 nm when the pump power increase from 400 to 600 mW, the Raman Soliton shifts from 2089 to 2215 nm, the bandwidth of SC increases from 2213 to 2320 nm. The ultra-violet part of SC is below 180 nm, and the mid-infrared part of SC exceeds 2500 nm. Moreover, the influence of pump power on SC is also analyzed.     

Solitonic axion condensates modeling dark matter halos

Instead of fluid type dark matter (DM), axion-like scalar fields with a periodic self-interaction or some truncations of it are analyzed as a model of galaxy halos. It is probed if such cold Bose–Einstein type condensates could provide a viable soliton type interpretation of the DM ‘bullets’ observed by means of gravitational lensing in merging galaxy clusters. We study solitary waves for two self-interacting potentials in the relativistic Klein–Gordon equation, mainly in lower dimensions, and visualize the approximately shape-invariant collisions of two ‘lump’ type solitons.     

Rogue wave management in an inhomogeneous Nonlinear Fibre with higher order effects

We consider an inhomogeneous Hirota equation with variable dispersion and nonlinearity. We introduce a novel transformation which maps this equation to a constant coefficient Hirota equation. By employing this transformation we construct the rogue wave solution of the inhomogeneous Hirota equation. Furthermore, we demonstrate that one can control the rogue wave dynamics by suitably choosing the dispersion and the nonlinearity. These results suggest an efficient approach for controlling the basic features of the relevant rogue wave and may have practical implications for the management of the rogue waves in nonlinear optical systems.     

一类孤子方程族及其多个Hamilton结构

本文建立了一个含11个位势的新的等谱问题,得到了一组新的Lax对,由此得到一类新的孤子方程族.该族是Liouville可积的,具有4-Hamilton结构,且循环算子的共轭算子是一个遗传对称算子.另外,为确切说明所得方程族是一个4-Hamilton结构,在附录中证明了所得的4个Hamilton算子的线性组合恒为Hamilton算子.     

CONVEXITY AND SYMMETRY OF TRANSLATING SOLITONS IN MEAN CURVATURE FLOWS

This paper proves that any rotationally symmetric translating soliton of mean curvature flow in R3 is strictly convex if it is not a plane and it intersects its symmetric axis at one point. The authors also study the symmetry of any translating soliton of mean curvature flow in Rn.     

α螺旋蛋白质螺旋链模型的双孤立子效应

该文在α螺旋蛋白质一维直线模型的基础上，提出了α螺旋蛋白质的螺旋线模型．研究了分子螺旋链中的集体激发──双孤立子特征，并讨论了非耦合的双孤立子解．     

Effective pseudospin wave model for the coherent stripe phase in a bilayer system

Hartree–Fock theory predicts a stripe-like ground state for the two-dimensional electron gas in a bilayer quantum Hall system in a quantizing magnetic field at filling factor 4N+1 (with N>0). This stripe state contains quasi-1D linear coherent regions where electrons are delocalized across both wells and which support low-energy collective excitations in the form of phonons and pseudospin waves. We have recently computed the dispersion relation of these low-energy modes in the generalized random phase approximation. In this work, we propose an effective pseudospin model in which the stripe state is modeled as an array of coupled 1D anisotropic X–Y systems. The coupling constants and stiffness of our model are extracted from the density and pseudospin response functions computed in the GRPA.     

ADJOINT SYMMETRY CONSTRAINTS OF MULTICOMPONENT AKNS EQUATIONS

A soliton hierarchy of multicomponent AKNS equations is generated from an arbitraryorder matrix spectral problem,along with its bi-Hamiltonian formulation.Adjoint symmetryconstraints are presented to manipulate binary nonlinearization for the associated arbitraryorder matrix spectral problem.The resulting spatial and temporal constrained fiows are shownto provide integrable decompositions of the multicomponent AKNS equations.     

飞秒脉冲作用下光子晶体光纤超连续谱的产生

采用钛宝石超快fs激光器泵浦2m长光子晶体光纤产生超连续谱,重点研究了不同输入功率下350～959nm波长范围内光谱的演变过程,实验中产生的超连续光谱宽度超过550nm分析表明,内脉冲喇曼散射和孤子自频移在开始阶段对光谱长波方向上的展宽起主要作用,这些新的频率成分与随后光谱向短波方向的拓展有密切关系.     

光纤中基于互相位调制效应的超短光脉冲对的产生

提出一种在单模光纤正常色散区由连续波产生超短光脉冲对的新方法.即让连续波和一个波长位于光纤负色散区的高阶孤子在光纤中同时传输,互相位调制效应和群速度色散效应的互相作用能使连续波演化成超短光脉冲对.本文还通过计算机模拟,对该方法进行了全面的考察和分析.结果表明,此方法实用且效果较好.