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Using Symbolic Computation to Exactly Solve the Integrable Broer-Kaup Equations in (2+1)-Dimensional Spaces 认领 引用 被引量：32
1
作者 CHENJing XIEFu-Ding LüZhuo-Sheng 《Communications in Theoretical Physics》 SCIE CAS 2005年第4期585-590,共6页
The extended tanh method is further improved by generalizing the Riccati equation and introducing its twenty seven new solutions. As its application, the (2+ 1)-dimensional Broer-Kaup equation is investigated and then... The extended tanh method is further improved by generalizing the Riccati equation and introducing its twenty seven new solutions. As its application, the (2+ 1)-dimensional Broer-Kaup equation is investigated and then its fifty four non-travelling wave solutions have been obtained. The results reported in this paper show that this method is more powerful than those, such as tanh method, extended tanh method, modified extended tanh method and Riccati equation expansion method introduced in previous literatures. 展开更多
关键词 BK equations symbolic computation non-travelling wave solution
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软件需求定量分析及其映射的模糊层次分析法 认领 引用 被引量：20
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作者 熊伟 新藤久和 渡边喜道 《软件学报》 EI 北大核心 2005年第3期427-433,共7页
在用数量化理论 3 类(quantification theory of type 3,简称 QT3)定量地分析软件需求的基础上,以质量功能展开(quality function deployment,简称 QFD)中的质量屋(house of quality,简称 HOQ)系列矩阵为纲领,基于由模糊技术改进后的模... 在用数量化理论 3 类(quantification theory of type 3,简称 QT3)定量地分析软件需求的基础上,以质量功能展开(quality function deployment,简称 QFD)中的质量屋(house of quality,简称 HOQ)系列矩阵为纲领,基于由模糊技术改进后的模糊层次分析法(fuzzy analytic hierarchy process,简称 FAHP),提出了一种软件需求定量分析及其向设计实现过程模糊映射的方法.将该方法具体应用于 CD-R/RW 光盘刻录机软件的开发过程,其有效性得到了验证. 展开更多
关键词 需求工程 数量化理论3类(QT3) 层次分析法(AHP) 质量屋(HOQ) 模糊技术
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Computer Algebra and Solutions to the Karamoto-Sivashinsky Equation 认领 引用 被引量：18
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作者 XIEFu-Ding YUANZhan-Ting 《Communications in Theoretical Physics》 SCIE CAS 2005年第1期39-44,共6页
The method of Riccati equation is extended for constructing travelling wave solutions of nonlinear partial differential equations. It is applied to solve the Karamoto-Sivashinsky equation and then its more new explici... The method of Riccati equation is extended for constructing travelling wave solutions of nonlinear partial differential equations. It is applied to solve the Karamoto-Sivashinsky equation and then its more new explicit solutions have been obtained. From the results given in this paper, one can see the computer algebra plays an important role in this procedure. 展开更多
关键词 karamoto-sivashinsky equation computer algebra exact solution
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Applications of Computer Algebra in Solving Nonlinear Evolution Equations 认领 引用 被引量：18
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作者 XIEFu-Ding GAOXiao-Shan 《Communications in Theoretical Physics》 SCIE CAS 2004年第3期353-356,共4页
With the use of computer algebra, the method that straightforwardly leads to travelling wave solutions is presented. The compound KdV-Burgers equation and KP-B equation are chosen to illustrate this approach. As a res... With the use of computer algebra, the method that straightforwardly leads to travelling wave solutions is presented. The compound KdV-Burgers equation and KP-B equation are chosen to illustrate this approach. As a result, their abundant new soliton-like solutions and period form solutions are found. 展开更多
关键词 computer algebra travelling wave solution nonlinear evolution equation
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Applications of Jacobi Elliptic Function Expansion Method for Nonlinear Differential-Difference Equations 认领 引用 被引量：9
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作者 XUGui-Qiong LIZhi-Bin 《Communications in Theoretical Physics》 SCIE CAS 2005年第3期385-388,共4页
The Jacobi elliptic function expansion method is extended to derive the explicit periodic wave solutions for nonlinear differential-difference equations. Three well-known examples are chosen to illustrate the applicat... The Jacobi elliptic function expansion method is extended to derive the explicit periodic wave solutions for nonlinear differential-difference equations. Three well-known examples are chosen to illustrate the application of the Jacobi elliptic function expansion method. As a result, three types of periodic wave solutions including Jacobi elliptic sine function, Jacobi elliptic cosine function and the third elliptic function solutions are obtained. It is shown that the shock wave solutions and solitary wave solutions can be obtained at their limit condition. 展开更多
关键词 nonlinear differential-difference equation Jacobi elliptic function periodic wave solution
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Conservation Laws and Soliton Solutions for Generalized Seventh Order KdV Equation 认领 引用 被引量：3
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作者 YAORuo-Xia XUGui-Qiong LIZhi-Bin 《Communications in Theoretical Physics》 SCIE CAS 2004年第4期487-492,共6页
With the assistance of the symbolic computation system Maple,rich higher order polynomial-type conservation laws and a sixth order t/x-dependent conservation law are constructed for a generalized seventh order nonline... With the assistance of the symbolic computation system Maple,rich higher order polynomial-type conservation laws and a sixth order t/x-dependent conservation law are constructed for a generalized seventh order nonlinear evolution equation by using a direct algebraic method.From the compatibility conditions that guaranteeing the existence of conserved densities,an integrable unnamed seventh order KdV-type equation is found.By introducing some nonlinear transformations,the one-,two-,and three-solition solutions as well as the solitary wave solutions are obtained. 展开更多
关键词 seventh order evolution equation conservation law soliton solution symbolic computation
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Travelling Wave Solutions to a Special Type of Nonlinear Evolution Equation 认领 引用 被引量：6
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作者 XUGui－Qiong LIZhi－Bin 《Communications in Theoretical Physics》 SCIE CAS 2003年第1期39-43,共5页
A unified approach is presented for finding the travelling wave solutions to one kind of nonlinear evolution equation by introducing a concept of 'rank'. The key idea of this method is to make use of the arbit... A unified approach is presented for finding the travelling wave solutions to one kind of nonlinear evolution equation by introducing a concept of 'rank'. The key idea of this method is to make use of the arbitrariness of the manifold in Painlevé analysis. We selected a new expansion variable and thus obtained a rich variety of travelling wave solutions to nonlinear evolution equation, which covered solitary wave solutions, periodic wave solutions, Weierstrass elliptic function solutions, and rational solutions. Three illustrative equations are investigated by this means, and abundant travelling wave solutions are obtained in a systematic way. In addition, some new solutions are firstly reported here. 展开更多
关键词 Painleve analysis rank travelling wave solution nonlinear evolution equation
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A Computational Approach to the New Type Solutions of Whitham-Broer-KaupEquation in Shallow Water 认领 引用 被引量：2
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作者 XIEFu-Ding GAOXiao-Shan 《Communications in Theoretical Physics》 SCIE CAS 2004年第2期179-182,共4页
Based on computerized symbolic computation,a new method and its algorithm are proposed for searching for exact travelling wave solutions of the nonlinear partial differential equations.Making use of our approach,we in... Based on computerized symbolic computation,a new method and its algorithm are proposed for searching for exact travelling wave solutions of the nonlinear partial differential equations.Making use of our approach,we investigate the Whitham-Broer-Kaup equation in shallow water and obtain new families of exact solutions,which include soliton-like solutions and periodic solutions.As its special cases,the solutions of classical long wave equations and modified Boussinesq equations can also be found. 展开更多
关键词 WBK equation coupled projective Riccati equations soliton-like wave solution symbolic computation
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QoS multicast routing algorithm based on GA 认领 引用 被引量：10
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作者 李腊元 李春林 《Journal of Systems Engineering and Electronics》 2004年第1期90-97,共8页
The multicast routing problem with multiple QoS constraints in networks with uncertain parameters is discussed, and a network model that is suitable to research such QoS multicast routing problem is described. The QMR... The multicast routing problem with multiple QoS constraints in networks with uncertain parameters is discussed, and a network model that is suitable to research such QoS multicast routing problem is described. The QMRGA, a multicast routing policy for Internet, mobile network or other highperformance networks is mainly presented, which is based on the genetic algorithm(GA), and can provide QoSsensitive paths in a scalable and flexible way in the network environment with uncertain parameters. The QMRGA can also optimize the network resources such as bandwidth and delay, and can converge to the optimal or nearoptimal solution within few iterations, even for the network environment with uncertain parameters. The incremental rate of computational cost can be close to a polynomial and is less than exponential rate. The performance measures of the QMRGA are evaluated by using simulations. The results show that QMRGA provides an available approach to QoS multicast routing in network environment with uncertain parameters. 展开更多
关键词 multicast routing QoS genetic algorithm network with uncertain parameters
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Molecular Simulation on Transport Properties of Confined Water 认领 引用 被引量：1
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作者 YingChunLIU GuoZhenXIAO QiWANG 《Chinese Chemical Letters》 SCIE CAS 2004年第7期879-882,共4页
The diffusivity and viscosity of water confined in micropores were studied by molecular dynamics simulations. The effects of pore width and density were analyzed at pore widths from 0.9 to 2.6 nm. The diffusivity in m... The diffusivity and viscosity of water confined in micropores were studied by molecular dynamics simulations. The effects of pore width and density were analyzed at pore widths from 0.9 to 2.6 nm. The diffusivity in micropores is lower than that of the bulk, and it decreases as pore width decreases and as density increases. But the viscosity in micropores is much larger than that of the bulk, and it increases as pore width decreases and as density increases. The diffusivity in channel parallel direction is obviously larger than that in channel perpendicular directions. 展开更多
关键词 Micropore transport property molecular dynamics simulation.
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Design Pattern Mining Using Graph Matching 认领 引用 被引量：1
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作者 LIQing-hua ZHANGZhi-xiang BENKe-rong 《Wuhan University Journal of Natural Sciences》 EI CAS 2004年第4期444-448,共5页
The identification of design pattern instances is important for program understanding and software maintenance. Aiming at the mining of design patterns in existing systems, this paper proposes a subgraph isomorphism a... The identification of design pattern instances is important for program understanding and software maintenance. Aiming at the mining of design patterns in existing systems, this paper proposes a subgraph isomorphism approach to discover several design patterns in a legacy system at a time. The attributed relational graph is used to describe design patterns and legacy systems. The sub-graph isomorphism approach consists of decomposition and composition process. During the decomposition process, graphs corresponding to the design patterns are decomposed into sub-graphs, some of which are graphs corresponding to the elemental design patterns. The composition process tries to get sub-graph isomorphism of the matched graph if sub-graph isomorphism of each subgraph is obtained. Due to the common structures between design patterns, the proposed approach can reduce the matching times of entities and relations. Compared with the existing methods, the proposed algorithm is not linearly dependent on the number of design pattern graphs. Key words design pattern mining - attributed relational graph - subgraph isomorphism CLC number TP 311.5 Foundation item: Supported by the National Natural Science Foundation of China (60273075) and the Science Foundation of Naval University of Engineering (HGDJJ03019)Biography: LI Qing-hua (1940-), male, Professor, research direction: parallel computing. 展开更多
关键词 design pattern mining attributed relational graph subgraph isomorphism
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A Cluster-Based Secure Active Network Environment 认领 引用 被引量：1
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作者 CHENXiao-lin ZHOUJing-yang +2 位作者 DAIHan LUSang-lu CHENGui-hai 《Wuhan University Journal of Natural Sciences》 EI CAS 2005年第1期142-146,共5页
We introduce a cluster-based secure active network environment (CSANE) which separates the processing of IP packets from that of active packets in active routers. In this environment, the active code authorized or tru... We introduce a cluster-based secure active network environment (CSANE) which separates the processing of IP packets from that of active packets in active routers. In this environment, the active code authorized or trusted by privileged users is executed in the secure execution environment (EE) of the active router, while others are executed in the secure EE of the nodes in the distributed shared memory (DSM) cluster. With the supports of a multi-process Java virtual machine and KeyNote, untrusted active packets are controlled to securely consume resource. The DSM consistency management makes that active packets can be parallely processed in the DSM cluster as if they were processed one by one in ANTS (Active Network Transport System). We demonstrate that CSANE has good security and scalability, but imposing little changes on traditional routers. 展开更多
关键词 active networks security DSM
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Feature selection based on mutual information and redundancy-synergy coefficient 认领 引用 被引量：7
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作者 杨胜 顾钧 《Journal of Zhejiang University Science》 2004年第11期1382-1391,共10页
Mutual information is an important information measure for feature subset. In this paper, a hashing mechanism is proposed to calculate the mutual information on the feature subset. Redundancy-synergy coefficient, a no... Mutual information is an important information measure for feature subset. In this paper, a hashing mechanism is proposed to calculate the mutual information on the feature subset. Redundancy-synergy coefficient, a novel redundancy and synergy measure of features to express the class feature, is defined by mutual information. The information maximization rule was applied to derive the heuristic feature subset selection method based on mutual information and redundancy-synergy coefficient. Our experiment results showed the good performance of the new feature selection method. 展开更多
关键词 Mutual information Feature selection Machine learning Data mining
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Microscopic—Theoretical Calculations of R—Line Thermal Shifts and Broadenings of MgO:V^2+ 认领 引用 被引量：1
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作者 MADong－Ping MANing 《Communications in Theoretical Physics》 SCIE CAS 2002年第5期631-636,共6页
A great improvement on a previous work (Phys. Rev. B48 (1993) 14067) has been made. By taking into account all the irreducible representations and their components in the electron-phonon interaction (EPI) as well as a... A great improvement on a previous work (Phys. Rev. B48 (1993) 14067) has been made. By taking into account all the irreducible representations and their components in the electron-phonon interaction (EPI) as well as all the levels and the admixtures of basic wavefunctions within d3 electronic configuration, the values of all the parameters in the expressions of thermal shift (TS) and thermal broadening (TB) from EPI for the ground level, R level and R line of MgO:V2+ have microscopically been evaluated; and then, both the TS and TB of R line and various contributions to them have uniformly been calculated. The results are in very good agreement with the experimental data. It is found that all the three terms of TS from EPI are red shifts; the term of the contribution to TS from thermal expansion is blue shift. The Raman term is the largest, and the other terms are also important for TS. The R-line TS of MgO:V2+ comes from the first-order term of EPI. The elastic Raman scattering of acoustic phonons plays a dominant role in R-line TB of MgO:V2+. For calculations of both the TS and TB, it is very important to take into account all the admixtures of wavefunctions. 展开更多
关键词 crystal fields optical properties electron-phonon interaction electronic structure thermal shift and broadening thermal expansion
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Solving geometric constraints with genetic simulated annealing algorithm 认领 引用 被引量：3
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作者 刘生礼 唐敏 董金祥 《Journal of Zhejiang University Science》 2003年第5期532-541,共10页
This paper applies genetic simulated annealing algorithm (SAGA) to solving geometric constraint problems. This method makes full use of the advantages of SAGA and can handle under-/over- constraint problems naturally.... This paper applies genetic simulated annealing algorithm (SAGA) to solving geometric constraint problems. This method makes full use of the advantages of SAGA and can handle under-/over- constraint problems naturally. It has advantages (due to its not being sensitive to the initial values) over the Newton-Raphson method, and its yielding of multiple solutions, is an advantage over other optimal methods for multi-solution constraint system. Our experiments have proved the robustness and efficiency of this method. 展开更多
关键词 SAGA Geometric constraint solving Variational desig n
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Super-proximity routing in structured peer-to-peer overlay networks 认领 引用 被引量：1
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作者 吴增德 饶卫雄 马范援 《Journal of Zhejiang University Science》 2004年第1期16-21,共6页
Peer to Peer systems are emerging as one of the most popular Internet applications. Structured Peer to Peer overlay networks use identifier based routing algorithms to allow robustness, load balancing, and distributed... Peer to Peer systems are emerging as one of the most popular Internet applications. Structured Peer to Peer overlay networks use identifier based routing algorithms to allow robustness, load balancing, and distributed lookup needed in this environment. However, identifier based routing that is independent of Internet topology tends to be of low efficiency. Aimed at improving the routing efficiency, the super proximity routing algorithms presented in this paper combine Internet topology and overlay routing table in choosing the next hop. Experimental results showed that the algorithms greatly improve the efficiency of Peer to Peer routing. 展开更多
关键词 Routing Peer to Peer network Distributed systems Internet
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Two-Component Wadati-Konno-Ichikawa Equation and Its Symmetry Reductions 认领 引用 被引量：6
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作者 屈长征 姚若侠 李志斌 《Chinese Physics Letters》 SCIE EI CAS 2004年第11期2077-2080,共4页
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On New Invariant Solutions of Generalized Fokker-Planck Equation 认领 引用 被引量：1
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作者 YAORuo-Xia LIZhi-Bin 《Communications in Theoretical Physics》 SCIE CAS 2004年第5期665-668,共4页
The generalized one-dimensional Fokker-Planck equation is analyzed via potential symmetry method and the invariant solutions under potential symmetries are obtained. Among those solutions, some are new and first repor... The generalized one-dimensional Fokker-Planck equation is analyzed via potential symmetry method and the invariant solutions under potential symmetries are obtained. Among those solutions, some are new and first reported. 展开更多
关键词 Fokker-Planck equation potential symmetry invariant solutions symbolic computation
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An Automated Algebraic Method for Finding a Series of Exact Travelling Wave Solutions of Nonlinear Evolution Equations 认领 引用 被引量：6
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作者 柳银萍 李志斌 《Chinese Physics Letters》 SCIE EI CAS 2003年第3期317-320,共4页
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Identification of Chaotic Systems with Application to Chaotic Communication 认领 引用 被引量：5
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作者 冯久超 邱玉辉 《Chinese Physics Letters》 SCIE EI CAS 2004年第2期250-253,共4页
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