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Symmetry Reductions of a Lax Pair for(2+1)-Dimensional Differential Sawada-Kotera Equation

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Communications in Theoretical Physics 2009年第5期51卷 777-780页

作者： zhi hong-yan School of Mathematics and Computational Sciences China University of Petroleum Dongying 257061 China

Based on the symbolic computational system Maple, the similarity reductions of a Lax pair for the （2＋1 ）-dimensional differential Sawada Kotera （SK） equation by the classical Lie point group method, are presented. We obtain several interesting reductions. Comparing the reduced Lax pair＇s compatibility with the reduced SK equation under the same symmetry group, we find that the reduced Lax pairs do not always lead to the reduced SK equation. In general, the reduced equations are the subsets of the compatibility conditions of the reduced Lax pair.

关键词： classical Lie group approach symmetry reduction Lax pair Sawada-Kotera equation

New Formal Solutions of Davey-Stewartson Equation via Combined tanh Function Method with Symmetry Method

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Communications in Theoretical Physics 2007年第4期47卷 587-593页

作者： zhi hong-yan ZHANG hong-Qing Department of Applied Mathematics Dalian University of Technology Dalian 116024 China

We combine the tanh function method with the symmetry group method to construct new type of solutions of Davey-Stewartson equation and implemente it in a computer algebraic system. As a result, some new types of solutions are obtained. This method is also applied to other differential equations if the nonlinear evolution equations admit nontrivial one-parameter group of transformation.

关键词： tanh function method symmetry group method Davey-Stewartson equation exact solution

Symmetry Analysis and Exact Solutions of (2+1)-Dimensional Sawada-Kotera Equation

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Communications in Theoretical Physics 2008年第2期49卷 263-267页

作者： zhi hong-yan ZHANG hong-Qing School of Mathematics and Computational Science China University of Petroleum Dongying 257061 China Department of Applied Mathematics Dalian University of Technology Dalian 116024 China

Based on the symbolic computation system Maple, the infinite-dimensional symmetry group of the （2＋1）- dimensional Sawada-Kotera equation is found by the classical Lie group method and the characterization of the group properties is given. The symmetry groups are used to perform the symmetry reduction. Moreover, with Lou＇s direct method that is based on Lax pairs, we obtain the symmetry transformations of the Sawada-Kotera and Konopelchenko Dubrovsky equations, respectively.

关键词： classical Lie group approach Sawad-Kotera equation Konopelchenko-Dubrovsky equation symmetry reduction group-invariant solution

A New General Algebraic Method and Its Application to Shallow Long Wave Approximate Equations

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Communications in Theoretical Physics 2007年第5X期48卷 781-786页

作者： ZHAO Xue-Qin zhi hong-yan Department of Mathematics Qufu Normal University Rizhao 276826 China Department of Applied Mathematics Dalian University of Technology Dalian 116024 China

A new general algebraic method is presented to uniformly construct a series of exact solutions for nonlinear evolution equations （NLEEs）. For illustration, we apply the new method to shallow long wave approximate equations and successfully obtain abundant new exact solutions, which include rational solitary wave solutions and rational triangular periodic wave solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.

关键词： new general algebraic method nonlinear evolution equations solitary wave solutions

An Improved F-Expansion Method and Its Application to Coupled Drinfel'd-SokolovWilson Equation

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Communications in Theoretical Physics 2008年第8期50卷 309-314页

作者： ZHAO Xue-Qin zhi hong-yan Department of Mathematics Qufu Normal University Shandong Rizhao 276826 China Department of Applied Mathematics Dalian University of Technology Dalian 116024 China

With the aid of computerized symbolic computation, an improved F-expansion method is presented to uniformly construct more new exact doubly periodic solutions in terms of rational formal Jscobi elliptic function of nonlinear partial differential equations （NPDFs）. The coupled Drinfel＇d-Sokolov-Wilson equation is chosen to illustrate the method. As a result, we can successfully obtain abundant new doubly periodic solutions without calculating various Jacobi elliptic functions. In the limit cases, the rational solitary wave solutions and trigonometric function solutions are obtained as well.

关键词： Jacobi elliptic function doubly periodic solution rational solitary wave solution

New Approach to Find Exact Solutions to Classical Boussinesq System

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Communications in Theoretical Physics 2005年第4X期44卷 597-603页

作者： zhi hong-yan ZHAO Xue-Qin ZHANG hong-Qing Department of Applied Mathematics Dalian University of Technology Dalian 116024 China Department of Mathematics Qufu Normal University Qufu 273165 China

In this paper, based on a new system of three Riccati equations, we give a new method to construct more new exact solutions of nonlinear differential equations in mathematical physics. The classical Boussinesq system is chosen to illustrate our method. As a consequence, more families of new exact solutions are obtained, which include solitary wave solutions and periodic solutions.

关键词： classical Boussinesq system solitary solution periodic solution

Polyacrylamide hydrogels with phenylboronic acid moieties for the imprinting of proteins

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Chinese Chemical Letters 2010年第12期21卷 1487-1489页

作者： yan Wang zhi Hua Chai hong yan He Yi Zhe Jiang Guo Qi Fu Key Laboratory of Functional Polymer Materials of Ministry of Education Institute of Polymer Chemistry Nankai University Tianjin 300071 China

In this letter,N-acryloyl-3-aminophenylboronic acid（AAPBA） was synthesized and then examined as a new functional monomer for protein *** was allowed to be copolymerized with acrylamide to produce hemoglobin- or lysozyme-imprinted *** template rebinding tests,the imprinted gels showed significant increase in the specific binding with the increase of the AAPBA amounts in the prepolymerization *** results indicate that AAPBA may be a useful functional monomer for its moderate interactions with protein molecules.

关键词： Protein imprinting Hydrogels Hemoglobin Lysozyme 3-Aminophenylboronic acid

Enantioseparation of Aminoglutethimide by High-speed Countercurrent Chromatography Using Carboxymethly-β-cyclodextrin as Chiral Selector

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Chinese Chemical Letters 2006年第6期17卷 787-790页

作者： Ping AI Jia Chuan LIU Min ZI zhi Hua DENG zhi hong yan Li Ming YUAN Department of Chemistry Yunnan Normal University Kunming 650092

Enantioseparation of aminoglutethimide was performed by high-speed counter-current chromatography with a two-phase system composed of ethyl acetate： methanol： water = 10： 1： 9. The lower phase contained 20 mmol/L of carboxymethly-β-cyclodextrin as chiral selector. The enantiomers were separated in 1.2 h and identified by chiral HPLC. This method was very efficient for the chiral preparative separation.

关键词： High speed countercurrent chromatography enantioseparation aminoglutethimide,carboxymethly-β-cyclodextrin.

High-speed countercurrent chromatography for purification of single-walled carbon nanotubes

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Chinese Chemical Letters 2008年第11期19卷 1345-1348页

作者： Ying Cai zhi hong yan Ying Chun Lv Min Zi Li Ming Yuan Department of Chemistry Yunnan Normal University Kunming 650092 China Key Laboratory of Ministry of Education Jiangxi University of Chinese Traditional Medicine Nanchang 330004 China

A new chromatographic purification of single-walled carbon nanotubes using high-speed countercurrent chromatography is reported. The purification was accomplished on the basis of experiment that dispersed the single-walled carbon nanotubes with sodium dodecyl sulfate, and the result mixture was separated using the two phase system composed of n-butanol/water = 1/1 （v/v）. The sizes of SWNTs separated were observed by scanning electron microscopy. The results demonstrated that the high-speed countercurrent chromatography possessed a good efficency for purification of single-walled carbon nanotubes.

关键词： High-speed countercurrent chromatography Purification Sodium dodecyl sulfate Single-walled carbon nanotubes