Deep learning neural networks for the third-order nonlinear Schrödinger equation: bright solitons,breathers, and rogue waves

The dimensionless third-order nonlinear Schrödinger equation (alias the Hirota equation) is investigated via deep leaning neural networks. In this paper, we use the physics-informed neural networks (PINNs) deep learning method to explore the data-driven solutions (e.g. bright soliton, breather, and rogue waves) of the Hirota equation when the two types of the unperturbated and perturbated (a 2% noise) training data are considered. Moreover, we use the PINNs deep learning to study the data-driven discovery of parameters appearing in the Hirota equation with the aid of bright solitons.     

Impurity effects of the Λhyperon in the hypernuclear systems ${}_{{\rm{\Lambda }}}^{25}\mathrm{Mg}$ and ${}_{{\rm{\Lambda }}}^{29}\mathrm{Si}$

Based on the beyond-mean-field Skyrme–Hartree–Fock model, impurity effects of the Λhyperon in the hypernuclear systems ${}_{\,{\rm{\Lambda }}}^{25}$ Mg and ${}_{\,{\rm{\Lambda }}}^{29}$ Si are investigated, respectively. Four cases, in which the Λhyperon occupies the single-particle orbitals ${\rm{\Lambda }}$[000]${\tfrac{1}{2}}^{+}$, ${\rm{\Lambda }}$[110]${\tfrac{1}{2}}^{-}$, ${\rm{\Lambda }}$[101]${\tfrac{3}{2}}^{-}$ and ${\rm{\Lambda }}$[101]${\tfrac{1}{2}}^{-}$, are focused. In each case, the potential energy surface and the energy curves projected on certain angular momenta are employed to show the influence of the Λhyperon on the nuclear core. Beside the shrinkage effect that is induced by the Λhyperon occupying the s_Λ orbital, it is found that the Λhyperon on the p_Λ orbital, ${\rm{\Lambda }}$[110]${\tfrac{1}{2}}^{-}$, drives the nuclear core toward a prolate shape, while the ones on the other two p_Λ orbitals, ${\rm{\Lambda }}$[101]${\tfrac{3}{2}}^{-}$ and ${\rm{\Lambda }}$[101]${\tfrac{1}{2}}^{-}$, drive the nuclear core toward an oblate shape. The energy spectra and the corresponding intra-band E2 transition rates for the rotational bands are given as a prediction for future experiments.     

HL-2M 主机抗扭转支撑结构计算分析

根据通电的环向场(TF)线圈在磁场作用下将产生侧向力和径向力,提出了抗扭转支撑结构方案。该方案能够降低这两种力对 TF 线圈的影响,并且保证线圈连接面的紧密接触和绝缘层不会发生相对错动。对抗扭转支撑结构进行计算分析,确定该结构的受力方式以及传力路径。结果表明,在实验运行以及极端工况下结构的应力、位移能够到达设计要求,通过疲劳计算得出抗扭转支撑结构能满足 20 年以上的实验运行,能够保证 HL-2M装置安全、平稳和可靠的运行。      

HL-2M 装置磁测量传感器的定位安装

通过数值计算评估了 HL-2M 装置磁测量传感器安装精度的要求,其中磁通环坐标(R, Z)的安装偏差 要求达到±2.0mm 以内,磁探针的(R, Z)偏差要求在±1.0mm 以内、角度偏差在±0.1°以内。定位安装采用高精度激 光跟踪仪和关节测量臂结合,设备定位精度在±0.3mm。根据不同种类的磁测量传感器的定位安装特点,优化设 计了包括磁通环、磁探针阵列、逆磁同心圆等的定位结构,将 HL-2M 磁测量传感器的安装精度控制到在±0.5mm 水平。      

Specific Occurence of Selenium in Certain Enzymes and Amino Acid Transfer Ribonucleic Acids

Abstract

Some enzymes known to contain selenium are enumerated. In four of them which catalyze coupled oxidation-reduction reactions the selenium occurs exclusively in the form of selenocysteine residues. Their structure and function are described in detail. Two other bacterial enzymes which contain selenium in the form of a labile, readily dissociable component are also described.

Results on the isolation, identification and structure determination of selenium-containing amino acid transfer ribonucleic acids are presented. These seleno-t RNA's are shown to contain either 5-methyl-aminomethyl-2-selenouridine or other 2-selenouridine derivatives. The role of selenium in a glutamate iso-accepter species is discussed.     

α,β-Unsaturated γ-Oxo Carboxylic Acids in Heterocylic Synthesis II. Behavior of 4-(5,5-Dioxodibenzothiophen-2-yl)-4-oxo-2-butenoic Acid Towards Carbon Nucleophiles under Michael Reaction Condition

4-(5,5-Dioxodibenzothiophen-2-yl)-4-oxo-2-butenoic acid ( 1 ) was condensed with compounds containing active methylene groups under Michael reaction conditions to form the Michael adducts 2a-c , 3a-c , and 4a-b . The behavior of Michael adduct towards the action of hydrazine hydrate was investigated. The compounds were tested for biological properties.     

REACTION DES O,O-DIETHYL OXO-1 ALKANEPHOSPHONATES AVEC LES DERIVES DE L'HYDRAZINE: UNE VOIE DE SYNTHESE DES HYDRAZONES α-PHOSPHONATEES ET DES HYDRAZIDES

Abstract

Under the normal conditions, the reaction of hydrazine and methylhydrazine with OO-diethyl 1 oxoalkane phosphonates 1 proceeds by cleavage of the phosphorus-carbon bond and leads to the formation of diethylphosphite 2 and N-acylhydrazide 3 . A procedure has been developed for the synthesis of new primary hydrazone of OO-diethyl 1-oxoalkane phosphonates 4 . A mechanism is proposed. The structure of those compounds 4 was confirmed by NMR and IR spectroscopy.     

Heterogeneous Thiocyanation of Benzylic Alcohols and Silyl and THP Ethers,and Deprotection of Silyl and THP-Ethers by [PCl3-n(SiO2)n] (Silphos)

Silicaphosphite (silphos), [PCl_3-n(SiO₂)_n], as a heterogeneous phosphorous compound, catalyzes the thiocyanation of benzylic alcohols and silyl and THP ethers in the presence of I₂ and NH₄SCN in refluxing CH₃CN. The produced silphos oxide byproduct can be easily separated by a simple filtration. Silphos is also used for the efficient and selective deprotection of silyl and THP-ethers to their corresponding alcohols.     

BIS(DIAZASILAPHOSPHETIDINES) AND THEIR METAL COMPLEXES

The syntheses and solid-state structures of bis(diazasilaphosphetidines) of the type [Me ₂ Si(μ-N ^t Bu) ₂ P] ₂ NR, R = Ph, ⁱ Pr, ^t Bu, of the P-chiral analogue [Me ₂ Si(μ-N ^t Bu)(μ-N-2,6- ⁱ PrPh)P] ₂ (C ₂ H ₄ ), and of some of their metal complexes are reported. The highly electron-rich, modular bis(phosphines) are easy to synthesize and may have applications in catalysis.