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Symmetry Reductions, Integrability and Solitary Wave Solutions to High-Order Modified Boussinesq Equations with Damping Term

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Communications in Theoretical Physics 2001年第7期36卷 1-6页

作者： YAN ZhenYa XIE FuDing zhang hongqing Department of Applied Mathematics Dalian University of Technology Dalian 116024 China Department of Applied Mathematics Dalian University of Technology Dalian 116024 China Department of Applied Mathematics Dalian University of Technology Dalian 116024 China

Both the direct method due to Clarkson and Kruskal and the improved direct method due to Lou are extended to reduce the high-order modified Boussinesq equation with the damping term (HMBEDT) arising in the general Fermi-Pasta-Ulam model. As a result, several types of similarity reductions are obtained. It is easy to show that the nonlinear wave equation is not integrable under the sense of AblowRz's conjecture from the reduction results obtained. In addition, kink-shaped solitary wave solutions, which are of important physical significance, are found for HMBEDT based on the obtained reduction equation.

关键词： modified Boussinesq equation with the damping term, nonlinear evolution equation, symmetry reduction, integrability, solitary wave solution

On the Lie Algebras, Generalized Symmetries and Darboux Transformations of the Fifth-Order Evolution Equations in Shallow Water

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Chinese Annals of Mathematics,Series B 2015年第4期36卷 543-560页

作者： Shoufu TIAN Yufeng zhang Binlu FENG hongqing zhang Department of Mathematics China University of Mining and Technology School of Mathematics and Information Sciences Weifang University School of Mathematical Sciences Dalian University of Technology

By considering the one-dimensional model for describing long, small amplitude waves in shallow water, a generalized fifth-order evolution equation named the Olver water wave （OWW） equation is investigated by virtue of some new pseudo-potential systems. By introducing the corresponding pseudo-potential systems, the authors systematically construct some generalized symmetries that consider some new smooth functions {Xiβ}β=1,2…,N^i=1,2…,n depending on a finite number of partial derivatives of the nonlocal variables vβ and a restriction i,α,β∑（ ξi/ vβ）^2＋（ ηα/ vβ）^2≠0,ie.,i,α,β∑（ ξi/ vβ）^2≠0. Furthermore, i,a,B i,a,~ the authors investigate some structures associated with the Olver water wave （AOWW） equations including Lie algebra and Darboux transformation. The results are also extended to AOWW equations such as Lax, Sawada-Kotera, Kaup-Kupershmidt, It6 and Caudrey-Dodd-Cibbon-Sawada-Kotera equations, et al. Finally, the symmetries are ap- plied to investigate the initial value problems and Darboux transformations.

关键词： Generalized symmetries Darboux transformations Analytical solutions

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Lie Algebras for Constructing Nonlinear Integrable and Bi-Integrable Hamiltonian Couplings

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Journal of Mathematical Research with Applications 2015年第3期35卷 291-302页

作者： Xiaohong CHEN hongqing zhang Fucai YOU Daqing zhang Department of Mathematics Dalian University of Technology School of Science University of Science and Technology Liaoning Department of Basic Sciences Shenyang Institute of Engineering

With the help of a Lie algebra,two kinds of Lie algebras with the forms of blocks are introduced for generating nonlinear integrable and bi-integrable *** illustrating the application of the Lie algebras,an integrable Hamiltonian system is obtained,from which some reduced evolution equations are ***,Hamiltonian structures of nonlinear integrable and bi-integrable couplings of the integrable Hamiltonian system are furnished by applying the variational *** approach presented in the paper can also provide nonlinear integrable and bi-integrable couplings of other integrable system.

关键词： Lie algebra integrable couplings bi-integrable couplings Hamiltonian structure

Backlund Transformation and Exact Solutionsfor (2+1) -dimensional Kolmogoroff- Petrovsky-Piscounov Equation

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Communications in Nonlinear Science and Numerical Simulation 1999年第2期4卷 146-151页

作者： Zhenya YAN hongqing zhang(Institute of Mathematics. Dalian University of Technology. Dalian 116024. China) Institute of Mathematics Dalian University of Technology Dalian 116024 China

Via using the idea of improved homogeneous balance method andwith the aid of MATHEMATICA, Backlund transformation (BT) of (2+1)-dimensionalKolmogoroff-Petrovsky-Piscounov (KPP) equation is derived. Then according to the BT,several families of exact solutions for KPP equation are obtained, Which contain solitonsolutions. (2+1)-dimensional Chaffee-Infante (CI) equation, as the special case of KPPequation, is also considered.

关键词： Backlund transformation KPP equation CI equation exact solution

Wronskian Solutions of Two Equations and Young Diagram Proof

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Journal of Mathematical Research with Applications 2014年第5期34卷 561-574页

作者： Jianjun CHENG Jianqin MEI Zhen WANG hongqing zhang School of Mathematical Sciences.Dalian University of Technology

In this paper,we obtain the linear differential conditions of(3 + l)-dimensional Jimbo-Miwa equation and Boiti-Leon-Manna-Pempinelli equation,which guarantee that the corresponding Wronskian determinant solves the two... 详细信息

关键词： Wronskian determinant solution Young diagram Plucker relations.

Oridonin inhibits SARS-CoV-2 replication by targeting viral proteinase and polymerase

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Virologica Sinica 2023年第3期38卷 470-479页

作者： Zherui zhang hongqing zhang Yanan zhang Qiuyan zhang Qiaojie Liu Yanyan Hu Xiaoling Chen Jing Wang Yujia Shi Chenglin Deng Peng Gong Bo zhang Xiaodan Li Bing Zhu Hanqing Ye Virus Laboratory Institute of PediatricsGuangzhou Women and Children's Medical CenterGuangzhou Medical UniversityGuangzhou510623China Key Laboratory of Special Pathogens and Biosafety Wuhan Institute of VirologyCenter for Biosafety Mega-ScienceChinese Academy of SciencesWuhan430071China University of Chinese Academy of Sciences Beijing100049China Hunan Normal University School of MedicineChangsha410081China

COVID-19 has become a global public health crisis since its outbreak in China in December *** there are few clinically effective drugs to combat SARS-CoV-2 *** main protein(M^(pro)),papain-like protease(PL^(pro))and RNA-dependent RNA polymerase(RdRp)of SARS-CoV-2 are involved in the viral replication,and might be prospective targets for anti-coronavirus drug ***,we investigated the antiviral activity of oridonin,a natural small-molecule compound,against SARS-CoV-2 infection in *** time-of-addition analysis showed that oridonin efficiently inhibited SARS-CoV-2 infection by interfering with the genome replication at the post-entry ***,the inhibition of viral replication by oridonin depends on the oxidation activity ofα,β-unsaturated *** experiments showed that oridonin not only effectively inhibited SARS-CoV-2 Mpro activity,but also had some inhibitory effects on PLpro-mediated deubiquitinating and viral polymerase-catalyzed RNA elongation activities at high *** particular,oridonin could inhibit the bat SARS-like CoV and the newly emerged SARS-CoV-2 omicron variants(BA.1 and BA.2),which highlights its potential as a pan-coronavirus antiviral ***,our data provide strong evidence that oridonin is an efficient antiviral agent against SARS-CoV-2 infection.

关键词： SARS-CoV-2 Oridonin Antiviral Protease inhibitor

Explicit and Exact Solutions for theGeneralized Reaction Duffing Equation

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Communications in Nonlinear Science and Numerical Simulation 1999年第3期4卷 3-5页

作者： Zhenya YAN and hongqing zhang(Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, China)E-mail: zhanghq@*** Institute of Mathematical Science Dalian University of Technology Dalian 116024 China

IntroductionInthesolitontheory,findingmoreefficientmethodplaysanimportantroleinsolvingexactsolutionsofnonlinearevolutionequationsll--4].Thefollowingreactionduffingequationwherea,6,dareallconstants,canbereducedtomanyfa... 详细信息

关键词： nonlinear evolution equation reaction duffing equation exact solution solitary wave solution period solution

Intracellular levels of calmodulin are increased in transformed cells

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Cell Research 1992年第2期2卷 119-127页

作者： WANG RUIHONG, hongqing zhang, SUWEN LI AND SHAQBAI XUEDepartment of Biology, Beijing Normal University, Beijing 100875, China Department of Biology Beijing Normal University Beijing China

By using Hoechst 33342,rabbit anti calmodulin anti-body,FITC-labeled goat anti rabbit IgG and SR101(sulforhodamine 101)simultaneously to stain individual normaland transformed cells,the microspectrophotometric analysisdemonstrated that 3 markers which represented the nucleus,calmodulin and total protein respectively,could be recog-nized in individualj cells without *** phase ofthe cell cycle was determined by DNA content(Hoechst33342).We found that in transformed cells(NIH3T3)tsRSV-LA90,cultured at 33℃ and transformed C3H10T1/2 cells),the ratio of calmodulin to total protein(based onthe phases of cell cycle)was higher than that in normal cells(NIH3T3 tsRSV-LA90 cells,cultured at 39℃ andC3H10T1/2 cells)in every cell cycle *** ratio in-creased obviously only from Gto S phase in either normalor transformed *** results showed that calmodulinreally increased during the transformation,and its increasewas *** the meantime when cells proceeded from Gto S,the intracellular calmodulin content also increasedspecifically.

关键词： calmodulin microspectrophotometry transformation cell cycle.

安源模式:中共早期产业支部创建与发展的历史实践(1921—1925)

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江西师范大学学报（哲学社会科学版） 2023年第6期56卷 18-25页

作者：张宏卿江西师范大学马克思主义学院江西南昌330022

安源作为中国工人运动的摇篮,其产业支部的创建与发展非常具有原创性、示范性与典型性,是中共群众性动员的一个蓝本。这一蓝本有两大亮点:一是以毛泽东、李立三、刘少奇三大早期中共群众运动领袖为核心而形成的“同心圆模式”的辐射,令... 详细信息

安源作为中国工人运动的摇篮,其产业支部的创建与发展非常具有原创性、示范性与典型性,是中共群众性动员的一个蓝本。这一蓝本有两大亮点:一是以毛泽东、李立三、刘少奇三大早期中共群众运动领袖为核心而形成的“同心圆模式”的辐射,令早期的安源产业支部具有极强的向心力、凝聚力与战斗力;二是中共早期的革命知识分子通过办学校、书社以及对传统资源的创造性运用,使得这场目标较为激烈的社会革命具有一定的温和性与隐蔽性而赢得较多民众的参与,从而在很大程度上打通了知识分子与工人革命的桥梁。总的来说,安源时期产业支部的创建与发展,是中国共产党与工人阶级良性互动达到较佳的历史时期,也可称之为中国革命中的安源模式。

关键词：安源模式产业支部历史实践

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