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A Note on Casoratian Solutions to Two-Dimensional Toda Lattice

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Communications in Theoretical Physics 2007年第3期47卷 390-392页

作者： zhang da-jun wu hua Department of Mathematics Shanghai University Shanghai 200444 China

In this short paper we generalize the conditions that Casoratian entries satisfy for the two-dlmenslonal Toda lattice. Although we finally conclude that our generalization is trivial in some sense for getting new solu... 详细信息

关键词： Casoratian solution two-dimensional Toda lattice bilinear

Infiltration by monocytes of the central nervous system and its role in multiple sclerosis: reflections on therapeutic strategies

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Neural Regeneration Research 2025年第3期20卷 779-793页

作者： Guangyong zhang Qing Yao Chubing Long Pengcheng Yi Jiali Song Luojia wu Wei Wan Xiuqin Rao Yue Lin Gen Wei jun Ying Fuzhou hua Department of Anesthesiology the Second Affiliated Hospital of Nanchang UniversityNanchangJiangxi ProvinceChina Key Laboratory of Anesthesiology of Jiangxi Province NanchangJiangxi ProvinceChina

Mononuclear macrophage infiltration in the central nervous system is a prominent feature of neuroinflammation. Recent studies on the pathogenesis and progression of multiple sclerosis have highlighted the multiple roles of mononuclear macrophages in the neuroinflammatory process. Monocytes play a significant role in neuroinflammation, and managing neuroinflammation by manipulating peripheral monocytes stands out as an effective strategy for the treatment of multiple sclerosis, leading to improved patient outcomes. This review outlines the steps involved in the entry of myeloid monocytes into the central nervous system that are targets for effective intervention: the activation of bone marrow hematopoiesis, migration of monocytes in the blood, and penetration of the blood–brain barrier by monocytes. Finally, we summarize the different monocyte subpopulations and their effects on the central nervous system based on phenotypic differences. As activated microglia resemble monocyte-derived macrophages, it is important to accurately identify the role of monocyte-derived macrophages in disease. Depending on the roles played by monocyte-derived macrophages at different stages of the disease, several of these processes can be interrupted to limit neuroinflammation and improve patient prognosis. Here, we discuss possible strategies to target monocytes in neurological diseases, focusing on three key aspects of monocyte infiltration into the central nervous system, to provide new ideas for the treatment of neurodegenerative diseases.

关键词： blood–brain barrier macrophages monocytes multiple sclerosis neuroinflammation review therapy

Strong Symmetries of Non-Isospectral Ablowitz-Ladik Equations

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Chinese Physics Letters 2011年第2期28卷 9-11页

作者： wu hua zhang da-jun Department of Mathematics Shanghai UniversityShanghai 200444

For each non-isospectral Ablowitz-Ladik equation a strong symmetry operator is *** strong symmetry contains time variable explicitly and by means of it two sets of symmetries are *** derivative formulae between the strong symmetry and symmetries are derived,by which the obtained symmetries are shown to compose a centerless Kac-Moody-Virasoro *** symmetries for non-isospectral Ablowitz-Ladik equations are also discussed.

关键词： algebra symmetry symmetries

Nonisospectral effects on generating localized waves

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Communications in Theoretical Physics 2021年第11期73卷 18-30页

作者： Abdselam Silem hua wu da-jun zhang Department of Mathematics Shanghai UniversityShanghai 200444China

In this paper we explain how space-time localized waves can be generated by introducing nonisospectral effects which are usually related to non-uniformity of *** nonisospectral Korteweg–de Vries,modified Korteweg–de Vries and the Hirota equations are employed to demonstrate the *** solutions are presented in terms of Wronskians and double Wronskians and space-time localized dynamics are illustrated.

关键词： nonisospectral effects space-time localized wave integrable system bilinear

Solutions of the nonlocal(2+1)-D breaking solitons hierarchy and the negative order AKNS hierarchy

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Communications in Theoretical Physics 2020年第4期72卷 11-22页

作者： Jing Wang hua wu da-jun zhang Department of Mathematics Shanghai UniversityShanghai 200444China

The(2+1)-dimensional nonlocal breaking solitons AKNS hierarchy and the nonlocal negative order AKNS hierarchy are *** in double Wronskian form of these two hierarchies are derived by means of a reduction technique from those of the unreduced *** advantage of our method is that we start from the known solutions of the unreduced bilinear equations,and obtain solitons and multiple-pole solutions for the variety of classical and nonlocal *** behaviors of some obtained solutions are *** is remarkable that for some real nonlocal equations,amplitudes of solutions are related to the independent variables that are reversed in the real nonlocal reductions.

关键词： nonlocal (2+1)-dimensional breaking solitons AKNS hierarchy negative order AKNS hierarchy double Wronskian solutions reduction

Reciprocal transformations of the space-time shifted nonlocal short pulse equations

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Chinese Physics B 2022年第12期31卷 14-19页

作者： Jing Wang hua wu da-jun zhang Department of Mathematics Shanghai UniversityShanghai 200444China

Reciprocal transformations of the space-time shifted nonlocal short pulse equations are *** of dependent and independent variables involved in the reciprocal transformations is *** solutions of the space-time shifted nonlocal short pulse equations are given in terms of double *** of independent variables involved in the reciprocal transformations is *** of some obtained solutions are illustrated.

关键词： reciprocal transformation space-time shifted nonlocal short pulse equation covariance of variable solution

Equation of Motion of a Mass Point in Gravitational Field and Classical Tests of Gauge Theory of Gravity

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Communications in Theoretical Physics 2007年第3期47卷 503-511页

作者： wu Ning zhang da-hua Institute of High Energy Physics P.O. Box 918-1 Beijing 100039 China

A systematic method is developed to studY the classical motion of a mass point in gravitational gauge field. First, by using Mathematica, a spherical symmetric solution of the field equation of gravitational gauge field is obtained, which is just the traditional Schwarzschild solution. Combining the principle of gauge covariance and Newton＇s second law of motion, the equation of motion of a mass point in gravitational field is deduced. Based on the spherical symmetric solution of the field equation and the equation of motion of a mass point in gravitational field, we can discuss classical tests of gauge theory of gravity, including the deflection of light by the sun, the precession of the perihelia of the orbits of the inner planets and the time delay of radar echoes passing the sun. It is found that the theoretical predictions of these classical tests given by gauge theory of gravity are completely the same as those given by general relativity.

关键词： classical tests of gauge theory of gravity gauge theory of gravity classical solution of field equation Newton's second law of motion

Determination of Gravitomagnetic Field Through GRBs or X-ray Pulsars

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Communications in Theoretical Physics 2006年第5期45卷 858-860页

作者： wu Ning zhang da-hua Institute of High Energy Physics P.O. Box 918-1 the Chinese AcademY of Sciences Beijing 100039 China

In gauge theory of gravity, there is direct coupling between the spin of a particle and gravitomagnetic field, which will affect Landau level. In the surface of a neutron star or near a black hole, the coupling energy between spin and gravitomagnetic field can be large and detectable. Precise measurement of the position of spectrum lines of the corresponding emission or absorption can help us to determine the gravitomagnetic field and electromagnetic field simultaneously. The ratio △ Ee/△Ep can be served as a quantitative criteria of black hole. In GRBs or X-ray pulsar, absorption spectral lines of electron were observed. If the absorption spectral lines of electron, neutron and proton can be observed simultaneously, using the method given in this paper, we can determine the gravitomagnetic field in the surface of the star, and discriminate black hole from neutron star.

关键词： gamma ray burst black holes gravitomagnetic field quantum effects of gravity

General Formulae for Two Pseudo-differential Operator

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Communications in Theoretical Physics 2008年第6期49卷 1393-1396页

作者： zhang da-jun wu hua DENG Shu-Fang BI Jin-Bo Department of Mathematics Shanghai University Shanghai 200444 China Department of Mathematics East China University of Science and Technology Shanghai 200237 China Department of Mathematics Hangzhou Dianzi University Hangzhou 310018 China

Some general formulas in the Sato theory related to the nonisospectral KP and mKP hierarchies are derived for simplifying calculations.

关键词： Sato theory pseudo-differential operators general formulas nonisospectral KP and mKP hierar-chies