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Darboux transformation and solitons of Yang-Mills-higgs equations in R^(2,1)

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Science China Mathematics 2002年第6期45卷 706-715页

作者： C.h.gu 谷超豪 Institute of Mathematics Fudan University Shanghai 200433 China

The Darboux transformations for soliton equations are applied to the Yang-Mills-higgs *** solutions can be obtained from a known one via universal and purely algebraic formulas. SU(N) soliton solutions are constructed with explicit formulas. The interaction of solitons is described by the splitting theorem:each p-soliton is splitting into p single solitons asymptotically as t →±∞.

关键词： Yang-Mills-higgs equations, Darboux transformations, solitons, splitting theorem.

The Reaction of Benzimidazole Methiodide Salt with Bis-Grignard Reagent

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Chinese Chemical Letters 1997年第6期8卷 465-466页

作者： Shi, Z gu, h NW UNIV XIAN DEPT CHEMXIAN 710069PEOPLES R CHINA

The reaction of benzimidazole methoidide salt with bis-Grignard reagent is reported, and a new method for the preparation of dialdehyde is provided.

关键词： The Reaction of Benzimidazole Methiodide Salt with Bis-Grignard Reagent

Ab initio STUDIES ON MAGNETISM OF 3d TRANSITION METAL DIMERS

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Acta Metallurgica Sinica(English Letters) 2007年第5期20卷 341-346页

作者： J.h. gu Z.L. Zhu School of Physical Engineering and Material Physics Laboratory Zhengzhou University Zhengzhou 450052 China

Ab initio calculations with the self-consistent full-potential linearized augmented-plane-wave method （FLAPW）, under generalized gradient approximation, have been carried out to describe the electronic and magnetic properties of 3d transition metal dimers. It predicted the antiferromagneticity of Cr2 and ferromagneticity of other species. The Mn2 dimer was shown to be ferromagnetic coupling with a local magnetic moment of 5μB. retaining the value of its free atom state. The V2 and Ni2 exhibited low spin-polarization with local magnetic moment of only 1μB per atom. On the other hand, Fe2 and Co2 were highly spin-polarized with local magnetic moments of 3 and 2μB.

关键词： magnetism 3d transition metal dimer ab initio calculation

CONSTRUCTION OF UNITONS VIA PURELY ALGEBRAIC ALGORIThM

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Chinese Annals of Mathematics,Series B 1999年第1期20卷 1-6页

作者： gu ChAOhAO(C.h.gu) hU hEShENG(h.S.hU)(Institute of Mathematics,Fudan University,Shanghai 200433,China) Institute of Mathematics Fudan University Shanghai 200433 China

A purely algebraic algorithm for constructing unitons is presented. It is shown that all unitons can be constructed by using this algorithm.

关键词： Uniton of U(N) Darboux transformation Renormalization

ON ThE DYNAMIC ChARACTERISTICS OF MOULD-FILLING UNDER COUNTERGRAVITY

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Acta Metallurgica Sinica(English Letters) 1997年第5期10卷 409-414页

作者： Zeng, J.M. gu, h. Zhou, Y.h. guangxi Univ Nanning China

In this paper, the mathematical models for mould-filling under countergravity are derived on the basis of the principle of momentum. Dynamic processes of mould-filling are observed on a perspex model by means of high speed photography. The results indicate that the mould-filling under countergravity can be described by the second order nonlinear differential equations characterized by damping oscillations. The velocity oscillations amplify as the pressuring speed increases if the pressure differential functions are of the same type. On the other hand, if the functions are of different type, then the velocity oscillations depend upon whether the functions progressively increase or decrease. Velocity oscillations can be diminished dramatically by increasing the local damping within the gating system.

关键词： casting mould-filling dynamics

The synthesis of dialdehydes from dicarboxylic acids via imidazolines

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Chinese Science Bulletin 1997年第2期42卷 130-132页

作者： Shi, Z gu, h Xu, LL Department of Chemistry Northwest University Xi’an China

DIALDEhYDES are important chemical industrial materials, which are widely used in textile,medicine, dye, binder, coating and so on. The traditional method for preparing dialdehydes is the catalytic oxidation of glycol. We have reported the reduction ring-opening reaction of inndazoline by NaBh4.In this note, the reduction of imidazoline by sodium and ethanol is studied. A new synthetic method for the preparation of dialdehydes from dicarboxylic acids

关键词： dicarboxylic acid imidazoline dialdehyde new synthetic method.

The Synthesis of Dialdehyde from Sodium hydrogen Telluride with 1,1',3,3'-Tetramethyl-2,2'-bis-benzimidazolium Salt

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Chinese Chemical Letters 2002年第9期13卷 836-838页

作者： Yue K.F. gu h. Shi Z. Department of Chemistry Northwest University Xi'an 710069 China

The reaction of bis-benzimidazolium salts with sodium hydrogen telluride is reported, and a new synthetic method for dialdehydes is provided.

关键词： Bis-benzimidazolium salt sodium hydrogen telluride dialdehyde synthesis.

Evaluation of computer imaging technique for predicting the SPAD readings in potato leaves

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Information Processing in Agriculture 2017年第4期4卷 275-282页

作者： M.S.Borhan S.Panigrahi M.A.Satter h.gu Research Specialist Agricultural and Biosystems Engineering DepartmentNorth Dakota State UniversityFargoND 58105USA Electrical and Computer Engineering Technology Purdue University West LafayetteIN 47907USA Agricultural and Biosystems Engineering Department North Dakota State UniversityFargoND 58105USA Graduate Student Computer Science DepartmentNorth Dakota State UniversityFargoND 58105USA Senior Software Developer Psychology DepartmentNorth Dakota State UniversityFargoND 58105USA

Facilitating non-contact measurement,a computer-imaging system was devised and evaluated to predict the chlorophyll content in potato leaves.A charge-coupled device(CCD)camera paired with two optical filters and light chamber was used to acquire green(550±40 nm)and red band(700±40 nm)images from the same *** leaves from 15 plants differing in coloration(green to yellow)and age were selected for this *** based image features,such as mean and variances of green and red band images,were extracted from the *** analyses demonstrated that the variations in SPAD meter reading could be explained by themeangrayandvariances of gray scale *** fitted least square models based on the mean gray scale levels were inversely related to the chlorophyll content of the potato leaf with a R^2 of 0.87 using a green band image and with an R2 of 0.79 using a red band *** the extracted four image features,the developed multiple linear regression model predicted the chlorophyll content with a high R^2 of 0.88).The multiple regression model(using all features)provided an average prediction accuracy of 85.08% and amaximum accuracy of 99.8%.The prediction model using only mean gray value of red band showed an average accuracy of 81.6% with a maximum accuracy of 99.14%.

关键词： Computer imaging Chlorophyll SPAD meter Regression Prediction accuracy

The Inherent Law of the Unpredictability of Financial Asset Price Fluctuations: Multistability and Chaos

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Journal of Systems Science & Complexity 2024年第2期37卷 776-804页

作者： gu Enguo huanghe University of Science and Technology Zhengzhou 450006China

This paper aims at understanding the price dynamics generated by the interaction of traders relying on heterogeneous expectations in an asset pricing *** the present work the authors analyze a financial market populated by five types of boundedly rational speculators-two types of fundamentalists,two types of chartists and trend followers which submit buying/selling orders according to different trading *** authors formulate a stock market model represented as a 2 dimensional piecewise linear discontinuous *** proposed contribution to the existing financial literature is two ***,the authors perform study of the model involving a 2 dimensional piecewise linear discontinuous map through a combination of qualitative and quantitative *** authors focus on the existence conditions of chaos and the multi-stability regions in parameter *** border collision bifurcation curves and basins of multi-attractors are also *** authors find that chaos or quasi-period exists only in the case of fixed point being a saddle(regular or flip)and that the coexistence of multiple attractors may exist when the fixed point is an attractor,but it is common for spiral and flip fixed points.

关键词： BCB curve chaos financial market heterogeneous agents multiple attractors piecewise linear discontinuous map