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A Scheme for Generating Nonisospectral Integrable Hierarchies and Its Related Applications

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Acta Mathematica Sinica,English Series 2021年第5期37卷 707-730页

作者： yu feng zhang Xiang Zhi zhang School of Mathematics China University of Mining and TechnologyXuzhou 221116P.R.China

Under the framework of the complex column-vector loop algebra C^(p),we propose a scheme for generating nonisospectral integrable hierarchies of evolution equations which generalizes the applicable scope of the Tu *** applications of the scheme,we work out a nonisospectral integrable Schrodinger hierarchy and its expanding integrable *** latter can be reduced to some nonisospectral generalized integrable Schrodinger systems,including the derivative nonlinear Schrodinger equation once obtained by Kaup and ***,we obtain the famous Fokker-Plank equation and its generalized form,which has extensive applications in the stochastic dynamic ***,we investigate the Lie group symmetries,fundamental solutions and group-invariant solutions as well as the representation of the tensor of the Heisenberg group H_(3)and the matrix linear group SL(2,R)for the generalized Fokker-Plank equation(GFPE).

关键词： Nonisospectral integrable Schr?dinger hierarchy expanding integrable model symmetry group

Samarium( II )-electrocatalyzed chemoselective reductive alkoxylation of phthalimides

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Organic Chemistry Frontiers 2022年第5期9卷 1308-1314页

作者： yu-feng zhang Mohamed Mellah Universite Paris-Saclay CNRSInstitut de Chimie Moleculaire et des Materiaux d’OrsayBatiment 42091405 OrsayFrance

The unprecedented samarium electrocatalyzed reductive alkoxylation of phthalimides in a single step is *** mild conditions,using electrogenerated Sm(II)with TMSCl(trimethyl chlorosilane),N-substituted 3-alkoxyl isoind... 详细信息

关键词： catalyzed reductive substituted

Schemes for Generating Different Nonlinear Schrodinger Integrable Equations and Their Some Properties

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Acta Mathematicae Applicatae Sinica 2022年第3期38卷 579-600页

作者： yu-feng zhang Hai-feng WANG Na BAI School of Mathematics China University of Mining and TechnologyXuzhou 221116China School of Computer Science and Technology China University of Mining and TechnologyXuzhou 221116China

In the paper,we want to derive a few of nonlinear Schrodinger equations with various formats and investigate their properties,such as symmetries,single soliton solutions,multi-soliton solutions,and so *** of all,we propose an efficient and straightforward scheme for generating nonisospectral integrable hierarchies of evolution equations for which a generalized nonisospectral integrable Schrodinger hierarchy(briefly GNISH)singles out,from which we get a derivative nonlinear Schrodinger equation,a generalized nonlocal Schrodinger integrable system and furthermore we investigate the symmetries and conserved qualities of the ***,we apply the dbar method to obtain a generalized nonlinear Schr?dinger-Maxwell-Bloch(GNLS-MB)equation and its hierarchy by introducing a generalized Zakhrov-Shabat spectral problem,whose soliton solutions and gauge transformations are obtained.

关键词： nonisospectral integrable hierarchy Schroodinger equation symmetry

B cell depletion in treating primary biliary cirrhosis:Pros and cons

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World Journal of Gastroenterology 2012年第30期18卷 3938-3940页

作者： yu-feng Yin Xuan zhang Department of Rheumatology and Clinical Immunology Peking Union Medical College Hospital Chinese Academy of Medical Sciences and Peking Union Medical College Beijing 100032 China

Primary biliary cirrhosis (PBC) is a progressive autoim- mune liver disease of unknown etiology that affects almost exclusively *** acid (UDCA) is currently the only approved drug by Food and Drug Administration for patients with *** the precise pathogenesis of PBC remains unclear,it has been postulated that many cell populations,including B cells,are involved in the ongoing inflammatory process,which implicates,not surprisingly,a potential thera- peutic target of depleting B cell to treat this *** is a chimeric anti-CD20 monoclonal antibody that has been approved for the treatment of lymphoma and some autoimmune diseases such as rheumatoid *** it is effective in the treatment of PBC has not been ***,Tsuda et al [1] demon- strated that B cell depletion with rituximab significantly reduced the number of anti-mitochondrial antibodies (AMA)-producing B cells,AMA titers,the plasma levels of immunoglobulins (IgA,IgM and IgG) as well as se- rum alkaline phosphatase,and it was well tolerated by all the treated patients with no serious adverse *** observation provides a novel treatment option for the patients with PBC who have incomplete response to UDCA.

关键词： Primary biliary cirrhosis Rituximab B cell depletion Anti-mitochondrial antibodies

Applications of a Few Lie Algebras

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Acta Mathematicae Applicatae Sinica 2016年第2期32卷 289-304页

作者： yu-feng zhang Zhong HAN Zhong-long ZHAO College of Sciences China University of Mining and Technology

Two isomorphic groups R2 and M are firstly constructed. Then we extend them into the differential manifold R2n and n products of the group M for which four kinds of Lie algebras are obtained. By using these Lie algebras and the Tu scheme, integrable hierarchies of evolution equations along with multi-component potential functions can be generated, whose Hamiltonian structures can be worked out by the variational identity. As application illustrations, two integrable Hamiltonian hierarchies with 4 component potential functions are obtained, respectively, some new reduced equations are followed to present. Specially remark that the integrable hierarchies obtained by taking use of the approach presented in the paper are not integrable couplings. Finally, we generalize an equation obtained in the paper to introduce a general nonlinear integrable equation with variable coefficients whose bilinear form, BEcklund transformation, Lax pair and infinite conserved laws are worked out, respectively, by taking use of the Bell polynomials.

关键词： group Lie algebra bilinear Lax pair conservation law

Generations of Integrable Hierarchies and Exact Solutions of Related Evolution Equations with Variable Coefficients

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Acta Mathematicae Applicatae Sinica 2014年第4期30卷 1085-1106页

作者： yu-feng zhang Yan WANG Bin-lu feng Jian-qin MEI College of Sciences China University of Mining and Technology School of Mathematics and Information Science Henan Polytechnic University School of Mathematics and Information Sciences Weifang University School of Mathematical Sciences Dalian University of Technology

We first propose a way for generating Lie algebras from which we get a few kinds of reduced 6 6 Lie algebras, denoted by R6, R8 and R1,R6/2, respectively. As for applications of some of them, a Lax pair is introduced by using the Lie algebra R6 whose compatibility gives rise to an integrable hierarchy with 4- potential functions and two arbitrary parameters whose corresponding Hamiltonian structure is obtained by the variational identity. Then we make use of the Lie algebra R6 to deduce a nonlinear integrable coupling hierarchy of the mKdV equation whose Hamiltonian structure is also obtained. Again,via using the Lie algebra R62, we introduce a Lax pair and work out a linear integrable coupling hierarchy of the mKdV equation whose Hamiltonian structure is obtained. Finally, we get some reduced linear and nonlinear equations with variable coefficients and work out the elliptic coordinate solutions, exact traveling wave solutions, respectively.

关键词： Lie algebra Hamiltonian structure exact solution

Drying and preheating processes of iron ore pellets in a traveling grate

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International Journal of Minerals,Metallurgy and Materials 2010年第5期17卷 535-540页

作者： Jun-xiao feng yu zhang Hai-wei Zheng Xiao-yan Xie Cai zhang School of Mechanical Engineering University of Science and Technology B~ijing Beijing 100083 China

A mathematical model of drying and preheating processes in a traveling grate was presented based on the laws of mass, momen- tum, heat transfer, and drying semiempirical relations. A field test was systematically carried out in a traveling grate. The effects of pellet diameter, moisture, grate velocity, and inlet gas temperature on the pellet bed temperature were studied. The average relative error between actual measurements and simulations is less than 7.97%, indicating the validity of the model.

关键词： iron ores pelletizing drying preheating numerical methods field test

Avalanching patterns of irregular sand particles in continual discrete flow

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Chinese Physics B 2020年第2期29卷 309-314页

作者： Ren Han yu-feng zhang Ran Li Quan Chen Jing-yu feng Ping Kong School of Optical-Electrical and Computer Engineering University of Shanghai for Science and TechnologyShanghai 200093China School of Medical Instrument and Food Engineering University of Shanghai for Science and TechnologyShanghai 200093China Shanghai Key Laboratory for Molecular Imaging Department of Science and Liberal ArtShanghai University of Medicine and Health SciencesShanghai 201318China

We investigate the flow patterns of irregular sand particles under avalanching mode in a rotating drum by using the spatial filtering velocimetry *** exploring the variations of velocity distribution of granular flow,we find a type of avalanching pattern of irregular sand particles which is similar to that of spherical particles *** to the fact that the initial position of avalanche in this pattern locates at the middle of the drum and the avalanche propagates toward the edge area gradually,we named it as mid-to-edge avalanching ***,we find another avalanching pattern which slumps from the edge and propagates toward the opposite edge of the flow surface,named as edge-to-edge *** analyzing the temporal and spatial characteristics of these two types of avalanching patterns,we discover that these two types of avalanche patterns are caused by that the avalanching particles constantly perturb the axial adjacent ***,the particles on the flow surface are involved in avalanching sequentially in order of the axial distance from the initial position.

关键词： spatial filtering velocimetry(SFV)method avalanching pattern velocity distribution irregular particles

Functionalized Copolymers of Isobutylene with Vinyl Phenol: Synthesis,Characterization, and Property

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Chinese Journal of Polymer Science 2019年第9期37卷 919-929页

作者： Shi-Xuan Yang Zi-yu Fan feng-yu zhang Si-Hao Li Yi-Xian Wu State Key Laboratory of Chemical Resource Engineering Beijing University of Chemical Technology

The random copolymers of isobutylene (IB) with polar comonomers of 4-acetoxystyrene (ACS) or 4-tert-butoxystyrene (TBO), P(IB-co-ACS) and P(IB-co-TBO), could be successfully synthesized via cationic copolymerization with FeCh-based initiating system. The kinetics of the cationic copolymerization process was in situ investigated by inserting a diamond probe into the reaction system by ATR-FTIR spectroscopy. The chemical structure and incorporation content of polar comonomers in the copolymers were characterized by GPC with RI/UV dual detectors and 1H-NMR spectroscopy. The corresponding functionalized random copolymers of IB with vinyl phenol P(IB-co-POH) carrying phenolic hydroxyl side groups could be further prepared via the complete hydrolysis of acetoxyl side groups in P(IB-co-ACS) or tert-butoxyl side groups in P(IB-co-TBO) copolymers. The functionalized P(IB-co-POH) copolymers became hydrophilic with water contact angle (WCA) of ca. 80° for the self-assembly in hot water, compared to the hydrophobic polyisobutylene with WCA of ca. 110°. The functionalized P(IB-co-POH) copolymers also displayed an excellent self-healing property due to the interaction of intermolecular hydrogen bonding and formation of three dimentional supramolecular networks from phenolic hydroxyl side groups. Furthermore, P(IB-co-POH) copolymers also provided a good matrix for the homogeneous dispersion for silica nanoparticles due to the formation of hydrogen bonding between copolymer chains and silica nanoparticles.

关键词： Cationic polymerization Isobutylene Copolymers Polar monomer Functionalized polyisobutylenes