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Riemann-Hilbert Problem and Multiple High-order Poles Solutions of the Focusing mKdV Equation with Nonzero Boundary Conditions

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Acta Mathematicae Applicatae Sinica 2025年第1期41卷 234-251页

作者： Zi-yi wang shou-fu TIAN Jin-jie YANG School of Mathematics China University of Mining and TechnologyXuzhou 221116China

The focusing modified Korteweg-de Vries(mKdV)equation with multiple high-order poles under the nonzero boundary conditions is first investigated via developing a Riemann-Hilbert(RH)*** begin with the asymptotic property,symmetry and analyticity of the Jost solutions,and successfully construct the RH problem of the focusing mKdV *** solve the RH problem when 1/S_(11)(k)has a single highorder pole and multiple high-order ***,we derive the soliton solutions of the focusing mKdV equation which corresponding with a single high-order pole and multiple high-order poles,***,the dynamics of one-and two-soliton solutions are graphically discussed.

关键词： Riemann-Hilbert approach focusing mKdV equation nonzero boundary conditions multiple high-order poles soliton solutions

Compensatory recombination phenomena of neurological functions in central dysphagia patients

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Neural Regeneration Research 2015年第3期10卷 490-497页

作者： Xiao-dong Yuan Li-fu Zhou Shu-juan wang Yan-sheng Zhao Xiao-jie wang Li-li Zhang shou-hong wang Ya-jie Zhang Li Chen Department of Neurology Affiliated Kailuan General Hospital of Hebei United University Department of MRI Room Affiliated Kailuan General Hospital of Hebei United University

We speculate that cortical reactions evoked by swallowing activity may be abnormal in patients with central infarction with dysphagia. The present study aimed to detect functional imaging features of cerebral cortex in central dysphagia patients by using blood oxygen level-depen- dent functional magnetic resonance imaging techniques. The results showed that when normal controls swallowed, primary motor cortex （BA4）, insula （BA13）, premotor cortex （BA6/8）, supramarginal gyrus （BA40）, and anterior cingulate cortex （BA24/32） were activated, and that the size of the activated areas were larger in the left hemisphere compared with the right. In re- current cerebral infarction patients with central dysphagia, BA4, BA13, BA40 aild BA6/8 areas were activated, while the degree of activation in BA24/32 was decreased. Additionally, more areas were activated, including posterior cingulate cortex （BA23/31）, visual association cortex （BA18/19）, primary auditory cortex （BA41） and parahippocampal cortex （BA36）. Somatosen- sory association cortex （BA7） and left cerebellum in patients with recurrent cerebral infarction with central dysphagia were also activated. Experimental findings suggest that the cerebral cortex has obvious hemisphere lateralization in response to swallowing, and patients with recurrent cerebral infarction with central dysphagia show compensatory recombination phenomena of neurological functions. In rehabilitative treatment, using the favorite food of patients can stimu- late swallowing through visual, auditory, and other nerve conduction pathways, thus promoting compensatory recombination of the central cortex functions.

关键词： nerve regeneration blood oxygen level-dependent functional magnetic resonance imag-ing cerebral ischemia dysphagia function restructuring cerebral cortex neural regeneration

Mn/S diatomic sites in C3N4 to enhance O2 activation for photocatalytic elimination of emerging pollutants

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Journal of Environmental Sciences 2025年第3期149卷 512-523页

作者： Chengji Sui Zixuan Nie Xiaobin Xie Yifeng wang Lingshuai Kong shou-Qing Ni Jinhua Zhan Key Laboratory for Colloid&Interface Chemistry of Education Ministry School of Chemistry and Chemical EngineeringShandong UniversityJinan 250100China Institute of Eco-Environmental Forensics School of Environmental Science and EngineeringShandong UniversityQingdao 266237China

Oxygen activation leading to the generation of reactive oxygen species(ROS)is essential for photocatalytic environmental *** limited efficiency of O_(2)adsorption and reductive activation significantly limits the production of ROS when employing C_(3)N_(4)for the degradation of emerging *** with metal single atoms may lead to unsatisfactory efficiency,due to the recombination of photogenerated electron-hole ***,Mn and S single atoms were introduced into C_(3)N_(4),resulting in the excellent photocatalytic ***/S-C_(3)N_(4)achieved 100%removal of bisphenol A,with a rate constant 11 times that of pristine C_(3)N_(4).According to the experimental results and theoretical simulations,Satoms restrict holes,facilitating the photo-generated carriers’***-atom Mn acts as the O_(2)adsorption site,enhancing the adsorption and activation of O_(2),resulting the generation of *** study presents a novel approach for developing highly effective photocatalysts that follows a new mechanism to eliminate organic pollutants from water.

关键词： Photocatalytic degradation O_(2)activation Reactive oxygen species Emerging pollutants Single-atom catalyst

The secondary periodic elementβ_(p^(2)/p^(2)-1)and its applications

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Science China Mathematics 2025年第1期68卷 207-222页

作者： Jianguo hong Xiangjun wang Yu Zhang Science College Shijiazhuang UniversityShijiazhuang 050035China School of Mathematical Sciences Nankai UniversityTianjin 300071China Center for Applied Mathematics Tianjin UniversityTianjin 300072China

Let p≥7 be a *** prove thatβ_(p^(2)/p^(2)-1)survives to E_(∞)in the Adams-Novikov spectral ***,using the Thom mapΦ:■,we can see that h0h3 also survives to E_(∞)in the classical Adams spectral *** an application ... 详细信息

关键词： stable homotopy groups of spheres Adams-Novikov spectral sequence in nite descent method

Three-dimensional internal multiple elimination in complex structures using Marchenko autofocusing theory

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Petroleum Science 2025年第1期22卷 222-233页

作者： Pei-Nan Bao Ying Shi Xin-Min Shang hong-Xian Liang Wei-hong wang School of Earth Sciences Northeast Petroleum University Geophysical Research Institute of Shengli Oilfield Sinopec

Internal multiples are commonly present in seismic data due to variations in velocity or density of subsurface media. They can reduce the signal-to-noise ratio of seismic data and degrade the quality of the image. With the development of seismic exploration into deep and ultradeep events, especially those from complex targets in the western region of China, the internal multiple eliminations become increasingly challenging. Currently, three-dimensional(3D) seismic data are primarily used for oil and gas target recognition and drilling. Effectively eliminating internal multiples in 3D seismic data of complex structures and mitigating their adverse effects is crucial for enhancing the success rate of drilling. In this study, we propose an internal multiple prediction algorithm for 3D seismic data in complex structures using the Marchenko autofocusing theory. This method can predict the accurate internal multiples of time difference without an accurate velocity model and the implementation process mainly consists of several steps. Firstly, simulating direct waves with a 3D macroscopic velocity ***, using direct waves and 3D full seismic acquisition records to obtain the upgoing and downgoing Green's functions between the virtual source point and surface. Thirdly, constructing internal multiples of the relevant layers by upgoing and downgoing Green's functions. Finally, utilizing the adaptive matching subtraction method to remove predicted internal multiples from the original data to obtain seismic records without multiples. Compared with the two-dimensional(2D) Marchenko algorithm, the performance of the 3D Marchenko algorithm for internal multiple prediction has been significantly enhanced, resulting in higher computational accuracy. Numerical simulation test results indicate that our proposed method can effectively eliminate internal multiples in 3D seismic data,thereby exhibiting important theoretical and industrial application value.

关键词： Marchenko Internal multiple elimination Autofocusing Three-dimensional seismic data

Simulations of electron zebra stripes in the inner radiation belt using a composite empirical electric field model

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Science China Earth Sciences 2025年第1期68卷 27-38页

作者： Ziyang wang Ying LIU Qiugang ZONG hong ZOU Yuguang YE Xuzhi ZHOU Chao YUE Shan wang Institute of Space Physics and Applied Technology Peking UniversityBeijing100871China State Key Laboratory of Lunar and Planetary Science Macao University of Science and TechnologyMacao999078China

The phenomenon termed“zebra stripes”manifests as regular patterns in the energy-space(L shell)spectrum of energetic electrons(ranging from tens to hundreds ke V)within the inner radiation *** structures exhibit drift-periodic behavior and commonly arise from large-scale electric field perturbations near the substorm *** this study,we introduce a composite electric field model and replicate the formation,structure,and evolution of zebra stripes using a bounce-averaged test particle code under this electric field ***-resolution measurements of energetic electrons obtained from the Van Allen Probes and the recently launched Macao Science Satellites-1 are used as initial conditions and served to validate our test particle *** analyses between observed data and simulations demonstrate our test particle method's efficacy in capturing zebra stripes'general ***,the composite model proves capable of reproducing realistic variations in the electric field within the inner radiation belt to a certain ***,subtle differences emerge in the flux strength and the positions of *** disparities primarily stem from limitations inherent in the electric field model and the initial conditions of the *** that the model represents an average case,it is conceivable that real-world scenarios may deviate from the average,thereby introducing variations in the observed phenomena.

关键词： Zebra stripes Inner radiation belt Large-scale electric fields Van Allen Probes Macao Science Satellite

Stable partial nitrification was achieved for nitrogen removal from municipal wastewater by gel immobilization:A pilot-scale study

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Journal of Environmental Sciences 2025年第5期151卷 529-539页

作者： Xin Hu hong Yang Xiaoyue Fang Xuyan Liu Jiawei wang Xiaotong wang Yongsheng Bai Bojun Su Key Laboratory of Beijing for Water Quality Science and Water Environmental Recovery Engineering Faculty of ArchitectureCivil and Transportation EngineeringBeijing University of TechnologyBeijing 100124China Beijing General Municipal Engineering Design&Research Institute Co. Ltd.Beijing 100044China Hebei GEO University Shijiazhuang 050031China Hebei Key Laboratory of Water Quality Engineering and Comprehensive Utilization of Water Resources Hebei University of ArchitectureZhangjiakou 075000China School of Environmental Science and Safety Engineering Tianjin University of TechnologyTianjin 300384China Beijing Drainage Group Co.Ltd. Beijing 100022China

As an energy and carbon saving process for nitrogen removal from wastewater,the partial nitrification and denitrification process(PN/D)has been extensively ***,achieving stable PNinmunicipalwastewater has always been *** this study,a gel immobilized PN/D nitrogen removal process(GI-PN/D)was established.A 94 days pilot-scale experiment was conducted using real municipal wastewater with an ammonia concentration of 43.5±5.3mg N/L at a temperature range of 11.3–28.7◦*** nitrogen removal performance and associated pathways,shifts in the microbial community as well as sludge yield were *** results were as follows:the effluent TN and COD were 0.6±0.4mg/L and 31.1±3.8 mg/L respectively,and the NAR exceeding 95%.GI-PN/D achieved deep nitrogen removal ofmunicipalwastewater through stable PN without taking any *** primary pathways for nitrogen removal were identified as denitrification,simultaneous nitrification-denitrification,and aerobic ***-throughput sequencing analysis revealed that the immobilized fillers facilitated the autonomous enrichment of functional bacteria in each reactor,effectively promoting the dominance and stability of the microbial *** addition,GI-PN/D had the characteristic of low sludge yield,with an average sludge yield of 0.029 kg SS/kg *** study provides an effective technical for nitrogen removal from municipal wastewater through PN.

关键词： Gel immobilization Partial nitrification Deep nitrogen removal Autonomous enrichment Sludge yield

High-temperature calcination dramatically promotes the activity of Cs/Co/Ce-Sn catalyst for soot oxidation

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Chinese Chemical Letters 2025年第1期36卷 534-538页

作者： Meng wang Yan Zhang Yunbo Yu Wenpo Shan hong He Center for Excellence in Regional Atmospheric Environment Institute of Urban EnvironmentChinese Academy of SciencesXiamen 361021China Zhejiang Key Laboratory of Urban Environmental Processes and Pollution Control Ningbo Urban Environment Observation and Research StationInstitute of Urban EnvironmentChinese Academy of SciencesNingbo 315800China State Key Joint Laboratory of Environment Simulation and Pollution Control Research Center for Eco-Environmental SciencesChinese Academy of SciencesBeijing 100085China University of Chinese Academy of Sciences Beijing 100049China

Catalytic oxidation of soot is of great importance for emission control on diesel *** this work,a highly active Cs/Co/Ce-Sn catalyst was investigated for soot oxidation,and it was unexpectedly found that high-temperature calcination greatly improved the activity of the *** the calcination temperature was increased from 500℃ to 750℃,T_(50) decreased from 456.9℃ to 389.8℃ in a NO/O_(2)/H_(2)O/N_(2) *** results revealed that high-temperature calcination can promote the ability to transfer negative charge density from Cs to other metal cations in Cs/Co/Ce-Sn,which will facilitate the production of more oxygen defects and the generation of more surface-active oxygen *** oxygen species are beneficial to the oxidation of NO to NO_(2),leading to the high yield of NO_(2) ***,the Cs/Co/Ce-Sn catalyst calcined at 750℃ demonstrated higher activity than that calcined at 500℃.This work provides a pathway to prepare high efficiency catalysts for the removal of soot and significant insight into the effects of calcination on soot oxidation catalysts.

关键词： Soot oxidation Calcination Surface defects Surface-active oxygen species NO_(2)

On-line determination of selenium compounds in tea infusion by extractive electrospray ionization mass spectrometry combined with a heating reaction device

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Chinese Chemical Letters 2025年第1期36卷 496-500页

作者： Lu Huang Jiang wang hong Jiang Lanfang Chen Huanwen Chen Academician Workstation Jiangxi University of Chinese MedicineNanchang 330004China Suzhou Jingcheng Precision Instrument Technology Co. Ltd.Suzhou 215228China The First Affiliated Hospital of Nanchang University Nanchang 330006China

Selenium is one of the important trace elements in the human *** deficiency will directly affect human *** people's attention to health,the content of selenium in food has gradually attracted ***,detecting selenium compounds in complex samples remains a *** this work,we built an online heating-reaction *** device combines the electrospray extraction ionization mass spectrometry(EESI-MS)with the heating reaction device,which can simultaneously detect various selenium compounds in complex liquid *** acidic conditions,the sample was heated and catalyzed by a heating reaction device,so that the SeO~(2-)_(3)and O-phenylenediamine(OPD)could generate 1,3-dihydro-2,1,*** on the above reactions,we can detect organic selenium,inorganic selenium and other compounds in liquid samples by organic mass *** this experiment,we determined the content of three forms of selenium:selenomethionine(SeMet),l-selenocystine(SeCys(2)),and sodium *** calibration curves for SeMet,SeCys(2),and sodium selenite showed strong linearity within a range of 0.50-50.00μg/*** limits of detection(LOD)for the three compounds were 0.22,0.27,and 0.41μg/L,*** limits of quantification(LOQ)were 0.68,0.81,and 1.23μg/L,*** recoveries at three levels ranged from 98.8%to 106.1%.In addition,this method can simultaneously detect three selenium compounds and three other specific chemical components in tea infusion samples,providing a rapid and efficient method for identifying tea quality.

关键词： Heating reaction device Extractive electrospray ionization mass spectrometry Inorganic selenium Selenium compounds Tea infusion