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A New Multisoliton Solution to (2+1)-Dimensional KdV Equation

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Communications in Theoretical physics 2004年第5期41卷 669-670页

作者： PENG Yan-Ze~(1,2) 1 department of mathematics,Huazhong university of science and technology,Wuhan 430074,china2 department of mathematics and physics,henan university of science and technology,luoyang 471003,china department of mathematics Huazhong University of Science and Technology Wuhan 430074 China department of mathematics and physics Henan University of Science and Technology Luoyang 471003 China

A new multisoliton solution to the(2+1)-dimensional KdV equation is obtained by means of the truncatedPainleve expansion method and a direct ansatz *** new exact solution is periodic in the propagating directionx and exponentially decaying in y and thus it is called periodic solitons.A typical spatial structure of it is illustrated bythe figures.

关键词： (2+1)-dimensional KdV equation periodic solitons truncated Painleve expansion method

Solitary Waves for Cubic-Quintic Nonlinear SchrSdinger Equation with Variable Coefficients

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Communications in Theoretical physics 2006年第2期 343-346页

作者： ZHANG Jin-Liang~1 WANG Ming-Liang~(1,2) LI Xiang-Zheng~11 department of mathematics and physics,henan university of science and technology,luoyang 471003,china2 department of mathematics,Lanzhou university,Lanzhou 730000,china department of mathematics and physics，henan university of science and technology，luoyang 471003，china department of mathematics and physics，henan university of science and technology，luoyang 471003，china department of mathematics，Lanzhou university，Lanzhou 730000，china

The cubic-quintic nonlinear Schrdinger equation (CQNLS) plays important parts in the optical fiber andthe nuclear *** using the homogeneous balance principle,the bell type,kink type,algebraic solitarywaves,and trigonometric traveling waves for the cubic-quintic nonlinear Schrdinger equation with variable coefficients(vCQNLS) are derived with the aid of a set of subsidiary high-order ordinary differential equations (sub-equations forshort).The method used in this paper might help one to derive the exact solutions for the other high-order nonlinearevolution equations,and shows the new application of the homogeneous balance principle.

关键词： cubic-quintic nonlinear Schr6dinger equation with variable coefficients homogeneous balance principle solitary wave

CORRELATION BETWEEN STRESS COMPONENTS AND STRESS CORROSION CRACKS IN BRASS Lecturer,department of Materials physics,university of science and technology Beijing,Beijing 100083,china

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Acta Metallurgica Sinica(English Letters) 1992年第9期5卷 178-182页

作者： QIAO Lijie LIU Rui XIAO Jimei university of science and technology Beijing,Beijing,china

The effects of stress components on nucleation sites and propagation directions of stress cor- rosion cracks in brass were investigated with specimens under mode Ⅱ and mode Ⅲ loadings. The results indicated that under mode Ⅱ loading,stress corrosion cracks nucleated on the site with maximum normal stress component and propagated along the plane perpendieular to the maximum normal stress,under mode Ⅲ loading,the stress corrosion crack was not evident on the 45°plane due to the general corrosion in aqueous solution with high NH_4OH concentra- tion,while stress corroded in aqueous solution with low NH_4OH concentration, numerous cracks with spacings of 10—150μm were found on the 45°plane with maximum normal stress and no stress corrosion cracks was observed on the plane with maximum shear stress.

关键词： stress corrosion cracking stress compoonent brass ammonia solution

THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS

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Chinese Annals of mathematics,Series B 1998年第4期19卷 401-408页

作者： LIU TAISHUN (department of mathematics, university of science and technology of china, Hefei 230026, china)REN GUANGBIN (department of mathematics, university of science and technology of china, Hefei 230026, china) department of mathematics University of Science and Technology of China Hefei 230026 China

The authors obtain the growth and covering theorem for the class of normalized biholomorphic starlike mappings on bounded starlike circular *** type of domain discussed is rather general, since the domain must be starlike if there exists a normalized biholomorphic starlike mapping on it. In the unit disc, it is just the famous growth and covering theorem for univalent *** theorem successfully realizes the initial idea of H. Cartan about how to extend geometric function theory from one variable to several complex variables.

关键词： Starlike mappings Growth theorem Starlike circular domains

THE BLOCH CONSTANT OF LOCALLY BIHOLOMORPHIC MAPPINGS ON BOUNDED SYMMETRIC DOMAINS

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Chinese Annals of mathematics,Series B 1996年第3期17卷 271-278页

作者： GONG SHENG(department of mathematics, university of science and technology of china, Hefei 230026, china) 中国科学技术大学数学系安徽合肥

The estimations of the bounds of the Bloch constant of locally biholomorphic mappingson irreducible bounded symmetric domains are given. When the domain is a unit circle, theestimation of the lower bounds is just the ... 详细信息

关键词： Bounded symmetric domain Bloch mapping Bloch constant,Locally biholomorphic mapping

TYPE X MONOTONE SYSTEMS WITH AN ORDER-INCREASING INVARIANT FUNCTION

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Chinese Annals of mathematics,Series B 1996年第3期17卷 335-342页

作者： JIANG JIFA(department of mathematics, The university of science and technology of china, Hefei 230036, china.) department of mathematics University of Science and Technology of China Hefei 230036 China

The author considers the asymptotic behavior of solutions of a class of ordinary dmerentialequations x = F(x) in the nonnegative orthant R7. Suppose that F(o) = o, Fi(x1,..., xn) isnondecreasing in xk for all k≠ i and that F possesses an order-increasing invarian *** it is shown that every bounded solution to such a system converges to a single equilibrium.

关键词： Type K monotone system Monotone flow Invariant function Equilibrium Convergence

Lie bialgebras of generalized Witt type

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science china mathematics 2006年第4期49卷 533-544页

作者： SONG Guang’ai & SU Yucai College of mathematics and Information science, Shandong Institute of Business and technology, Yantai 264005, china department of mathematics, university of science and technology of china, Hefei 230026, china department of mathematics, Shanghai Jiaotong university, Shanghai 200240, china College of mathematics and Information science Shandong Institute of Business and Technology Yantai China department of mathematics Shanghai Jiaotong University Shanghai China department of mathematics University of Science and Technology of China Hefei China

In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first cohomology group H1(W, W(?)W) is trivial.

关键词： Lie bialgebras, Yang-Baxter equation, Lie algebra of generalized Witt type.

Convergence analysis for general linear methods applied to stiff delay differential equations

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Progress in Natural science:Materials International 2002年第6期12卷 16-22页

作者： ZHANG Chengjian(department of mathematics, Huazhong university of science and technology, Wuhan 430074, china) Huazhong Univ Sci & Technol Dept Math Wuhan 430074 Peoples R China

For Runge-Kutta methods applied to stiff delay differential equations (DDEs), the concept of D-convergence was proposed, which is an extension to that of B-convergence in ordinary differential equations (ODEs) . In this paper, D-convergence of general linear methods is discussed and the previous related results are improved. Some order results to determine D-convergence of the methods are obtained.

关键词： D-convergence general linear methods stiff delay differential equations.

Reduction of the Modified Korteweg-de Vries Equation in the Bilinear Form

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Communications in Nonlinear science and Numerical Simulation 1998年第1期3卷 3-5页

作者： Yanjuan ZHU (department of mathematics & physics, Guangdong university of technology, Guangzhou 510090, china) department of mathematics & physics Guangdong University of Technology Guangzhou 510090 China

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关键词： similarity reductions classical Lie approach