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A Family of Interesting Exact Solutions of the Sine-Gordon Equation

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Chinese Physics Letters 2000年第1期17卷 1-3页

作者： HUANG De-Bin LIU Zeng-Rong WANG Li-Lian LNM Institute of MechanicsChinese Academy of SciencesBeijing 100080 mathematical Department Shanghai UniversityShanghai 201800

By using AKNS[***.31(1973)125]system and introducing the wave function,a family of interesting exact solutions of the sine-Gordon equation are *** solutions seem to be some soliton,kink,***-kink ones respectively for the different choice of the spectrum,whereas due to the interaction between two traveling-waves they have some properties different from usual soliton,kink,and anti-kink solutions.

关键词： soliton traveling exact

Range-Renewal Processes:SLLNs and Power Laws

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Chinese Annals of Mathematics,Series B 2022年第1期43卷 63-78页

作者： Xinxing CHEN Jiansheng XIE Jiangang YING School of mathematical sciences Shanghai Jiaotong UniversityShanghai 200240China School of mathematical sciences Fudan UniversityShanghai 200433China

Given n samples(viewed as an n-tuple)of aγ-regular discrete distributionπ,in this article the authors concern with the weighted and unweighted graphs induced by the n *** first prove a series of SLLN results(of Dvoretzky-Erdos'type).Then they show that the vertex weights of the graphs under investigation obey asymptotically power law distributions with exponent 1+γThey also give a conjecture that the degrees of unweighted graphs would exhibit asymptotically power law distributions with constant exponent *** exponent is obviously independent of the parameterγ∈(0,1),which is a surprise to us at first sight.

关键词： Range renewal process Strong law of large numbers Power law

Soliton and rogue wave solutions of two-component nonlinear Schr?dinger equation coupled to the Boussinesq equation

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Chinese Physics B 2017年第10期26卷 28-37页

作者：宋彩芹肖冬梅朱佐农 School of mathematical sciences Shanghai Jiao Tong University

The nonlinear Schrodinger （NLS） equation and Boussinesq equation are two very important integrable equations. They have widely physical applications. In this paper, we investigate a nonlinear system, which is the two-component NLS equation coupled to the Boussinesq equation. We obtain the bright-bright, bright-dark, and dark-dark soliton solutions to the nonlinear system. We discuss the collision between two solitons. We observe that the collision of bright-bright soliton is inelastic and two solitons oscillating periodically can happen in the two parallel-traveling bright-bright or bright-dark soliton solution. The general breather and rogue wave solutions are also given. Our results show again that there are more abundant dynamical properties for multi-component nonlinear systems.

关键词： multi-component NLS-Boussinesq equation soliton solution rogue wave solution

Antithetical impacts of deleterious LRP1B mutations in non-squamous and squamous NSCLCs on predicting benefits from immune checkpoint inhibitor alone or with chemotherapy over chemotherapy alone: retrospective analyses of the POPLAR/OAK and CHOICE-01 trial

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Science China Life sciences 2025年第1期 249-262页

作者： Jinliang Wang Wenyong Zhou Yu Xu Jianchun Duan Qiaoxia Zhou Guoqiang Wang Leo Li Chunwei Xu Wenxian Wang Shangli Cai Zhijie Wang Jie Wang Department of Oncology The Fifth Medical Center of Chinese PLA General Hospital Department of Thoracic Surgery Shanghai Chest HospitalSchool of MedicineShanghai Jiao Tong University Burning Rock Biotech CAMS Key Laboratory of Translational Research on Lung Cancer State Key Laboratory of Molecular OncologyDepartment of Medical OncologyNational Cancer Center/National Clinical Research Center for ancer/Cancer HospitalChinese Academy of Medical Sciences and Peking Union Medical College institute of Basic Medicine and Cancer (IBMC) Chinese Academy of Sciences Department of Clinical Trial The Cancer Hospital of the University of Chinese Academy of Sciences (Zhejiang Cancer Hospital)

In non-small cell lung cancers,the non-squamous and squamous subtypes（nsqNSCLC and sqNSCLC） exhibit disparities in pathophysiology,tumor immunology,and potential genomic correlates affecting responses to immune checkpoint inhibitor（ICI）-based *** our inhouse training cohort（n=85）,the presence of the LRP1B deleterious mutation（LRP1B-del） was associated with longer and shorter progression-free survival（PFS） on ICIs alone in nsqNSCLCs and sqNSCLCs,respectively(Pinteraction=0.008).These results were validated using a larger public ICI cohort(n=208,Pinteraction<0.001).Multiplex immunofluorescence staining revealed an association between LRP1B-del and increased and decreased numbers of tumor-infiltrating CD8+T cells in nsqNSCLCs（P=0.040） and sqNSCLCs（P=0.014）,*** the POPLAR/OAK cohort,nsqNSCLCs with LRP1B-del demonstrated improved PFS benefits from atezolizumab over docetaxel(hazard ratio（HR）=0.70,P=0.046),whereas this benefit was negligible in those without LRP1B-del（HR=1.05,P=0.64）.Conversely,sqNSCLCs without LRP1B-del benefited more from atezolizumab（HR=0.60,P=0.002） than those with LRP1B-del（HR=1.30,P=0.31）.Consistent results were observed in the in-house CHOICE-01 cohort,in which nsqNSCLCs with LRP1B-del and sqNSCLCs without LRP1B-del benefited more from toripalimab plus chemotherapy than from chemotherapy alone(Pinteraction=0.008).This multi-cohort study delineates the antithetical impacts of LRP1B-del in nsqNSCLCs and sqNSCLCs on predicting the benefits from ICI alone or with chemotherapy over chemotherapy *** findings highlight the distinct clinical utility of LRP1B-del in guiding treatment choices for nsqNSCLCs and sqNSCLCs,emphasizing the necessity for a detailed analysis based on pathological subtypes when investigating biomarkers for cancer therapeutics.

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Joint Probabilistic Scheduling and Resource Allocation for Wireless Networked Control Systems

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IEEE/CAA Journal of Automatica Sinica 2025年第1期 258-260页

作者： Meng Zheng Lei Zhang Wei Liang IEEE the State Key Laboratory of Robotics and the Key Laboratory of Networked Control Systems Shenyang Institute of Automation Chinese Academy of Sciences the University of Chinese Academy of sciences

Dear Editor,This letter presents a joint probabilistic scheduling and resource allocation method(PSRA) for 5G-based wireless networked control systems(WNCSs). As a control-aware optimization method, PSRA minimizes the linear quadratic Gaussian(LQG) control cost of WNCSs by optimizing the activation probability of subsystems, the number of uplink repetitions, and the durations of uplink and downlink phases. Simulation results show that PSRA achieves smaller LQG control costs than existing works.

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Global regularity for 3D magneto-hydrodynamics equations with only horizontal dissipation

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Frontiers of Mathematics in China 2019年第1期14卷 149-175页

作者： Yutong WANG Weike WANG School of mathematical sciences Shanghai Jiao Tong University Shanghai 220104 China institute of Natural sciences Shanghai Jiao Tong University Shanghai 220104 China

We investigate the Cauchy problem for the 3D magneto-hydrodynamics equations with only horizontal dissipation for the small initial data. With the help of the dissipation in the horizontal direction and the structure of the system, we analyze the properties of the decay of the solution and apply these decay properties to get the global regularity of the solution. In the process, we mainly use the frequency decomposition in Green's function method and energy method.

关键词： Magneto-hydrodynamics (MHD) equations degenerate dissipation global solution Green's function method frequency decomposition method

Conversion of PtNi alloy from disordered to ordered for enhanced activity and durability in methanol-tolerant oxygen reduction reactions

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Nano Research 2015年第8期8卷 2777-2788页

作者： Liangliang Zou Jing Fan Yi Zhou Congmin Wang Jun Li Zhiqing Zou Hui Yang shanghai Advanced Research institute Chinese Academy of Sciences Shanghai 201210 China wuhan institute of Marine Electric Propulsion Wuhan 430064 China

The development of cost-effective oxygen reduction reaction （ORR） catalysts with a high methanol tolerance and enhanced durability is highly desirable for direct methanol fuel cells. This work focuses on the conversion of PtNi nanoparticles from a disordered solid solution to an ordered intermetallic compound. Here the effect of this conversion on ORR activity, durability, and methanol tolerance are characterized. X-ray diffraction and transmission electron microscopy results confirm the formation of ordered PtNi intermetallic nanoparticles with high dispersion and a mean particle size of about 7.6 nm. The PtNi intermetallic nanoparticles exhibited enhanced mass and specific activities toward the methanol-tolerant ORR in pure and methanol-containing electrolytes. The specific activity of the ORR at 0.85 V on the PtNi intermetallic nanoparticles is almost 6 times greater than on commercial Pt/C and 3 times greater than on disordered PtNi alloy. Durability tests indicated a minimal loss of ORR activity for PtNi intermetallic nanoparticles after 5,000 potential cycles, whereas the ORR activity decreased by 28% for disordered PtNi alloy. The enhanced methanoltolerant ORR activity and durability may be attributed to the structural and compositional stabilities of the ordered PtNi intermetallic nanoparticles compared relative to the stabilities of the disordered PtNi alloy, strongly suggesting that the PtNi intermetallic nanoparticles may serve as highly active and durable methanol-tolerant ORR electrocatalysts for practical applications.

关键词： platinum and nickel intermetallic nanoparticle oxygen reduction reaction methanol tolerance electrocatalyst durability

Data-Driven Direct Adaptive Risk-Sensitive Control of Stochastic Systems

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Journal of Systems Science & Complexity 2024年第4期37卷 1446-1469页

作者： QIAO Nan LI Tao School of mathematical sciences East China Normal UniversityShanghai 200241China shanghai Key Laboratory of Pure Mathematics and mathematical Practice School of Mathematical SciencesEast China Normal UniversityShanghai 200241China

The authors propose a data-driven direct adaptive control law based on the adaptive dynamic programming(ADP) algorithm for continuous-time stochastic linear systems with partially unknown system dynamics and infinite horizon quadratic risk-sensitive *** authors use online data of the system to iteratively solve the generalized algebraic Riccati equation(GARE) and to learn the optimal control law *** the case with measurable system noises,the authors show that the adaptive control law approximates the optimal control law as time goes *** the case with unmeasurable system noises,the authors use the least-square solution calculated only from the measurable data instead of the real solution of the regression equation to iteratively solve the *** authors also study the influences of the intensity of the system noises,the intensity of the exploration noises,the initial iterative matrix,and the sampling period on the convergence of the ADP ***,the authors present two numerical simulation examples to demonstrate the effectiveness of the proposed algorithms.

关键词： Adaptive dynamic programming direct adaptive control generalized algebraic Riccati equation risk-sensitive control

Low-cost and fluoride-free synthesis of MFI zeolite nanosheets with enhanced stability for benzene alkylation with ethanol

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Journal of Energy Chemistry 2025年第1期100卷 458-468页

作者： Peng Zhu Cun Liu Yiren Yu Guoshu Gao Yumeng Zhao Xiongfu Zhang Guodong Liu Guohui Yang State Key Laboratory of Fine Chemicals School of Chemical Engineering Dalian University of Technology State Key Laboratory of Catalysis Dalian Institute of Chemical Physics Chinese Academy of Sciences

Zeolite nanosheets with a short b-axis thickness are highly desirable in lots of catalytic reactions due to their reduced diffusion resistance. Nevertheless, conventional synthesis methods usually require expensive structure-directing agents(SDAs), pricey raw materials, and eco-unfriendly fluorine-containing additives. Here, we contributed a cost-effective and fluoride-free synthesis method for synthesizing high-quality MFI zeolite nanosheets through a Silicalite-1(Sil-1) seed suspension and urea cooperative strategy, only with inexpensive colloidal silica as the Si source. Our approach was effective for synthesizing both Sil-1 and aluminum-containing ZSM-5 nanosheets. By optimizing key synthesis parameters,including seed aging time, seed quantity, and urea concentration, we achieved precise control over the crystal face aspect ratio and b-axis thickness. We also revealed a non-classical oriented nanosheet growth mechanism, where Sil-1 seeds induced the formation of quasi-ordered precursor particles, and the(010)crystal planes of these particles facilitated urea adsorption, thereby promoting c-axis-oriented *** obtained ZSM-5 nanosheets exhibited exceptional catalytic performance in the benzene alkylation with ethanol, maintaining stability for over 500 h, which is 5 times longer than traditional ZSM-5 catalysts. Furthermore, large-scale production of ZSM-5 nanosheets was successfully carried out in a 3 L highpressure autoclave, yielding samples consistent with those from laboratory-scale synthesis. This work marks a significant step forward in the sustainable and efficient production of MFI nanosheets using inexpensive and environmentally friendly raw materials, offering the broad applicability in catalysis.

关键词： MFI zeolite ZSM-5 Nanosheets Scale-up synthesis Aromatic alkylation