浅谈畸形波的波形模拟

介绍了畸形波的概念和发生的机理,及两种畸形波波形模拟的方法,以Stocks五阶波的叠加来模拟畸形波,主要用于工程计算;用NLS方程建立深水单向波模型,求出符合畸形波特性的解,对畸形波进行数值模拟,适用于动力分析。     

非线性光孤子传输方程的研究

本文在从描述光孤子在单模光纤中的非线性传输方程（ＮＬＳ，即非线性薛定谔方程）出发，利用Ｍａｘｗｅｌｌ方程和慢变包络近似性，导出ｐｓ量级光孤子高阶修正的非线性薛定谔方程（ＨＭＮＬＳ）可进一步研究色散，损耗等高价效应对孤子传输造成的影响。     

A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients

We propose a compact split-step finite difference method to solve the nonlinear Schrödinger equations with constant and variable coefficients. This method improves the accuracy of split-step finite difference method by introducing a compact scheme for discretization of space variable while this improvement does not reduce the stability range and does not increase the computational cost. This method also preserves some conservation laws. Numerical tests are presented to confirm the theoretical results for the new numerical method by using the cubic nonlinear Schrödinger equation with constant and variable coefficients and Gross-Pitaevskii equation.     

高阶非线性效应对啁啾高斯光脉冲传输的影响

利用对称分步傅立叶方法（SSFM）求解非线性薛定谔方程（NLS）,探讨了光纤损耗、三阶色散和五阶非线性极化效应对啁啾高斯光脉冲传输的影响.数值研究结果指出：在一定条件下,初始啁啾、三阶色散和五阶非线性效应都会对脉冲的波形、宽度和峰值功率产生影响,脉冲的振荡波形主要由三阶色散决定,五阶非线性和啁啾会对它起到调制作用,存在一定的三阶色散和五阶非线性能减弱初始啁啾对脉冲的影响.     

对非线性规划问题的并行求解与分析

根据非线性规划问题的网格并行运算的要求,在分析非线性最小二乘问题的迭代法的基础上,提出了非线性最小二乘问题的并行迭代法来提高其并行度.然后给出检验函数,使用C MPI语言编写非线性最小二乘问题的并行程序,再将其转换为RSL作业脚本,实时地监控其状态信息,并对返回信息做出分析,证明了并行迭代法的优越性.     

A note to the integrable discretization of the mKdV and Schrödinger equations

An approach has been proposed to the integrable discretization of nonlinear evolution equations. Based on the bilinear formalism, we choose appropriate substitution from hyperbolic operator into continuous Hirota operators and obtain several new kinds of integrable system through seeking their 3-soliton solutions, such as the mKdV equation, the nonlinear Schrödinger equation and so on. By applying Adomian decompose method, we discuss the numerical analysis property to the discrete mKdV equation. In addition, we also point out the relations between the above discreted equations and some well-known equations.     

单模光纤中微扰对基暗孤子传输特性影响的研究

本文研究单模光缍中微扰对基暗孤子传输特性的影响，导出了基暗孤子参数随传输距离演化的方程组，具体讨论了光纤小损耗效应。     

A Beckwith–Wiedemann-Associated CDKN1C Mutation Allows the Identification of a Novel Nuclear Localization Signal in Human p57Kip2

p57^Kip2 protein is a member of the CIP/Kip family, mainly localized in the nucleus where it exerts its Cyclin/CDKs inhibitory function. In addition, the protein plays key roles in embryogenesis, differentiation, and carcinogenesis depending on its cellular localization and interactors. Mutations of CDKN1C, the gene encoding human p57^Kip2, result in the development of different genetic diseases, including Beckwith–Wiedemann, IMAGe and Silver–Russell syndromes. We investigated a specific Beckwith–Wiedemann associated CDKN1C change (c.946 C>T) that results in the substitution of the C-terminal amino acid (arginine 316) with a tryptophan (R316W-p57^Kip2). We found a clear redistribution of R316W-p57^Kip2, in that while the wild-type p57^Kip2 mostly occurs in the nucleus, the mutant form is also distributed in the cytoplasm. Transfection of two expression constructs encoding the p57^Kip2 N- and C-terminal domain, respectively, allows the mapping of the nuclear localization signal(s) (NLSs) between residues 220–316. Moreover, by removing the basic RKRLR sequence at the protein C-terminus (from 312 to 316 residue), p57^Kip2 was confined in the cytosol, implying that this sequence is absolutely required for nuclear entry. In conclusion, we identified an unreported p57^Kip2 NLS and suggest that its absence or mutation might be of relevance in CDKN1C-associated human diseases determining significant changes of p57^Kip2 localization/regulatory roles.     

Aedes aegypti Piwi4 Structural Features Are Necessary for RNA Binding and Nuclear Localization

The PIWI-interacting RNA (piRNA) pathway provides an RNA interference (RNAi) mechanism known from Drosophila studies to maintain the integrity of the germline genome by silencing transposable elements (TE). Aedes aegypti mosquitoes, which are the key vectors of several arthropod-borne viruses, exhibit an expanded repertoire of Piwi proteins involved in the piRNA pathway, suggesting functional divergence. Here, we investigate RNA-binding dynamics and subcellular localization of A. aegypti Piwi4 (AePiwi4), a Piwi protein involved in antiviral immunity and embryonic development, to better understand its function. We found that AePiwi4 PAZ (Piwi/Argonaute/Zwille), the domain that binds the 3′ ends of piRNAs, bound to mature (3′ 2′ O-methylated) and unmethylated RNAs with similar micromolar affinities (K_D = 1.7 ± 0.8 μM and K_D of 5.0 ± 2.2 μM, respectively; p = 0.05) in a sequence independent manner. Through site-directed mutagenesis studies, we identified highly conserved residues involved in RNA binding and found that subtle changes in the amino acids flanking the binding pocket across PAZ proteins have significant impacts on binding behaviors, likely by impacting the protein secondary structure. We also analyzed AePiwi4 subcellular localization in mosquito tissues. We found that the protein is both cytoplasmic and nuclear, and we identified an AePiwi4 nuclear localization signal (NLS) in the N-terminal region of the protein. Taken together, these studies provide insights on the dynamic role of AePiwi4 in RNAi and pave the way for future studies aimed at understanding Piwi interactions with diverse RNA populations.     

稀疏条件下基于散射点估计的SAR切片超分辨重建

从合成孔径雷达(SAR)成像模型出发,在稀疏条件下,该文结合散射中心理论,从低分辨率图像中估计高分辨率图像的散射点参数,用若干sinc函数对感兴趣目标区(ROI)进行重建并抑制旁瓣,获得超分辨ROI切片。基于非线性最小二乘(NLS)估计给出了该超分辨重建问题的迭代求解算法,并以TerraSAR-X数据进行仿真验证,仿真结果表明,该文所提方法相比双立方插值和1范数正则化方法能够获得更高的空间分辨率与目标杂波比(TCR)。后续分析表明,散射点参数的估计精度受到信噪比和sinc函数重建3 dB带宽共同影响,重建3 dB带宽越大对噪声的鲁棒性越强。