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| 1 | A New Approach to Nonlinear Partial Differential Equations显示文摘In this paper,a novel method called variational iteration method is proposed to solve nonlinear partial differential equations without linearization or small perturbations.In this method,a correction functional is constructed by a general Lagrange multiplier,which can be identified via variational theory.An analytical solution can be obtained from its trial- function with possible unknown constants,which can be identified by imposing the boundary conditions,by successively iteration. | Jihuan HE (Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics,Shanghai 2 0 0 0 72 ,China) | 1997 | Communications in Nonlinear Science and Numerical Simulation1997，2，4： | 16 |
| 2 | Global asymptotic stability of a two species competitive system with stage structure and harvesting显示文摘The dynamics of a two species competitive system, where the species one has two stages, a immature stage and a mature stage with harvesting, and the growth of the species two is of Lotka-Volterra nature, is modelled by a system of retarded functional differential equations. We obtain the conditions for global asymptotic stability of three nonnegative equilibria and the threshold of harvesting mature population. The effect of the delay on the population at equilibrium and the optimal harvesting of mature population are also considered. | XinyuSONG LansunCHEN 等 | 2001 | Communications in Nonlinear Science and Numerical Simulation2001，6，2： | 11 |
| 3 | The Superconvergence of Mixed FiniteElement Methods for Nonlinear HyperbolicEquations显示文摘Improved L2-error estimates are computed for mixed finite element methods for second order nonlinear hyperbolic equations. Superconvergence results, L∞intime and discrete L2 in space, are derived for both the solution and gradients on therectangular domain. Results are given for the continuous-time case. | YanpingCHEN YunqingHUANG | 1998 | Communications in Nonlinear Science and Numerical Simulation1998，3，3： | 8 |
| 4 | The Effects of Limiters on High Resolution Computations of Hypersonic Flows over Bodies with Complex Shapes显示文摘IntroductionSincetheideaofTVDwasproposedbyHarten[1]sometwodecadesago,varioustypesofhighresolutionschemesforsimulatingthecompr... | BoZHENG Chun-HianLEE | 1998 | Communications in Nonlinear Science and Numerical Simulation1998，3，2： | 8 |
| 5 | Variational Iteration Method for Delay Differential Equations显示文摘The variational iteration method is shown to be applicable to delay differential equations for analytical approximate | Jihuan HE (Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics,Shanghai 2 0 0 0 72 ,China) | 1997 | Communications in Nonlinear Science and Numerical Simulation1997，2，4： | 6 |
| 6 | An Approximate Solution Technique Depending on an Artificial Parameter: A Special Example显示文摘IntroductionInthelasttwodecadeswiththerapiddevelopmentofnonlinearscience,therehasappearedeverincreasinginterestofscientists... | Jihuan HE (Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China) | 1998 | Communications in Nonlinear Science and Numerical Simulation1998，3，2： | 5 |
| 7 | Blow up problem for Landau-Lifshitz equations in two dimensions显示文摘The solutions of two dimensional Landau-Lifshitz equations, which blow up in finite time, are obtained. | BolingGUO YongqianHAN GanshanYANG | 2000 | Communications in Nonlinear Science and Numerical Simulation2000，5，1： | 5 |
| 8 | Analysis of a SIS epidemic model with stage structure and a delay显示文摘A disease transmission model of SIS type with Stage structure and a delay corresponding to the infectious period is formulated. By constructing the difference operator and using global convergence theorem, we show that the disease-free equilibrium is globally asymp- totically stable. The Stability of an endemic equilibrium are investigated for the differential- difference equations. | Yanni XIAO and Lansun CHEN (Academy of Mathematics & System Sciences, Academic Sinica, Beijing 100080, China | 2001 | Communications in Nonlinear Science and Numerical Simulation2001，6，1： | 5 |
| 9 | Exact traveling wave solutions of some nonlinear physical models. Ⅱ. Coupled KdV type equations显示文摘New exact traveling wave solutions are derived for two coupled nonlinear water wave equations by using a delicate way of rank analysis two-step ansatz method. | JianlanHU ZhiLI | 2000 | Communications in Nonlinear Science and Numerical Simulation2000，5，4： | 4 |
| 10 | Non-existence of positive radial solutions for a class of quasilinear elliptic system显示文摘In this paper, our main purpose is to establish some nonexistence results of positive radial solutions to the quasilinear ordinary differential equation system. The main results of the present paper are new and extend the previously known results. | Zuodong YANG and Qishao LU (College of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China) (Received October 8, 2000) | 2000 | Communications in Nonlinear Science and Numerical Simulation2000，5，4： | 3 |
| 11 | Newton-Like Iteration Method for Solving Algebraic Equations显示文摘IntroductionItcanoftenbemetinscientificandengineeringpracticestofindalrootsofapolynomialoranalgebraicequation.Thewelknownme... | Jihuan HE (Shanghai University, Shanghai Institute of Applied mathematics and Mechanics, Shanghai ,200072, China, Email glliu@yc.shu.edu.cn) | 1998 | Communications in Nonlinear Science and Numerical Simulation1998，3，2： | 3 |
| 12 | Backlund Transformation and Exact Solutionsfor (2+1) -dimensional Kolmogoroff- Petrovsky-Piscounov Equation显示文摘Via using the idea of improved homogeneous balance method andwith the aid of MATHEMATICA, Backlund transformation (BT) of (2+1)-dimensionalKolmogoroff-Petrovsky-Piscounov (KPP) equation is derived. Then according to the BT,several families of exact solutions for KPP equation are obtained, Which contain solitonsolutions. (2+1)-dimensional Chaffee-Infante (CI) equation, as the special case of KPPequation, is also considered. | Zhenya YAN Hongqing ZHANG(Institute of Mathematics. Dalian University of Technology. Dalian 116024. China) | 1999 | Communications in Nonlinear Science and Numerical Simulation1999，4，2： | 3 |
| 13 | A Remark on the Mallat Pyramidal Algorithm of Wavelet Analysis显示文摘The exact relationships between the lenthgs of scale sequences and wavelet sequences in the Mallat pyramidal algorithm for computing wavelet trans- form coefficients are obtained,and the maximum possible scale of arbitrary discrete signal is derived. | Xianbin LI &1 Houqiang LI &2 Fuquan WANG &3Jing DING 1 (Dept.of Physics,Sichuan Union University,Chengdu6 1 0 0 6 4,P.R.China) 2 (Dept.of Math.Sichuan teacher’s College,Nanchong6 370 0 2 P.R.China) 3(Dept.of Hydrology,Sichuan Union University.Chengdu6 | 1997 | Communications in Nonlinear Science and Numerical Simulation1997，2，4： | 3 |
| 14 | Finite Dimensional Behavior of Global Attractors for Weakly Damping Ginzburg-Landau Equations Coupling with BBM Equations显示文摘IntroductionInthispaperweareconcernedwiththelongtimebehaviorofsolutionsofthefolowingperiodicinitialvalueproblemforthesystemo... | BolingGUO MurongJIANG | 1998 | Communications in Nonlinear Science and Numerical Simulation1998，3，1： | 3 |
| 15 | Existence of periodic solutions of the generalized Ginzburg-Landau equation with periodic boundary condition显示文摘In this paper, we study the periodic solution of the generalized Ginzburg-Landau equation by Galerkin method. We show the existence of periodic solution of this equation under appropriate conditions. | Boling GUO and Rong YUAN (Institute of Applied Physics and Computattonal Mathematics, Beijing 100088, China, e-mail: gbl@mail. iapcm. ac. Cn | 2000 | Communications in Nonlinear Science and Numerical Simulation2000，5，2： | 3 |
| 16 | Numerical Simulation of Shock (Blast) Wave Interaction with Bodies显示文摘Some typical results of computation on the shock (blast) wave interaction (2-D and 3-D) with bodies and its experimental validation in shock tube are summarized, suggestions for improving the numerical method (difference scheme and grid systems),developing 3-D optical quantitative visualization technology and further studying the unsteady turbulent flow are put forward. | Jialing LE (China Aerodynamics Research and Development Center P.O. Box 211 Mianyang Sichuan China) | 1999 | Communications in Nonlinear Science and Numerical Simulation1999，4，1： | 3 |
| 17 | Remarks on large eddy simulation显示文摘For large eddy simulation of turbulent flows. some analysis and general remarks on the filtering operation and modeling under small filtering length scales are presented. | G.Q.CHEN L.TAO K.R.RAJAGOPAL | 2000 | Communications in Nonlinear Science and Numerical Simulation2000，5，3： | 3 |
| 18 | Two-dimensional line thermal显示文摘The time evolution of a two-dimensional line thermal - a turbulent flow produced by an initial element with significant buoyancy released in a large water body, is numerically studied using the two-equation k-e model for turbulence closuxe. | G. Q. CHEN and J. H. W. LEE(a) Centre for Environmental Sciences / State Key Laboratory for Thrbulence Research, Peking University, Beijing 100871 b)Institute of Environmental Sciences, Beijing Normal University, Beijing 100875 e-mail: gqchen@ns.nlspku. a | 2000 | Communications in Nonlinear Science and Numerical Simulation2000，5，3： | 3 |
| 19 | Numerical Simulation of Line Puff Via RNGK-ep Mode显示文摘NumericalSimulationofLinePuffViaRNGK-epModel11ThepaperwasreceivedonOct.24,1996J.H.W.LEE&G.Q.CHEN(DepartmentofCivilEngineerin... | J.H.W.LEE G.Q.CHEN | 1996 | Communications in Nonlinear Science and Numerical Simulation1996，1，4： | 3 |
| 20 | Spatiotempora lcomplexity of the Cubic Ginzburg-Landau Equation显示文摘SpatiotemporalcomplexityoftheCubicGinzburg-LandauEquation1,21ProjectsupportedbytheNationalScienceFoundationofChinaandtheCommi... | BolingGUO BainianLU 等 | 1996 | Communications in Nonlinear Science and Numerical Simulation1996，1，4： | 3 |
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