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| 1 | Two new types of bounded waves of CH-γ equation显示文摘In this paper, the bifurcation method of dynamical systems and numerical approach of differential equations are employed to study CH-γ equation. Two new types of bounded waves are found. One of them is called the compacton. The other is called the generalized kink wave. Their planar graphs are simulated and their implicit expressions are given. The identity of theoretical derivation and numerical simulation is displayed. | GUO Boling & LIU Zhengrong Institute of Applied Physics and Computational Mathematics, Beijing 100088, China School of Mathematical Sciences and Center for Nonlinear Science Studies, South China University of Technology, Guangzhou 510640, China | 2005 | Science China Mathematics2005，48，12： | 12 |
| 2 | The attractor of the stochastic generalized Ginzburg-Landau equation显示文摘The stochastic generalized Ginzburg-Landau equation with additive noise can be solved pathwise and the unique solution generates a random system.Then we prove the random system possesses a global random attractor in H01. | GUO BoLing~1 WANG GuoLian~(2+) Li DongLong~3 1 Institute of Applied Physics and Computational Mathematics,P.O.Box 8009,Beijing 100088,China 2 The Graduate School of China Academy of Engineering Physics,P.O.Box 2101,Beijing 100088,China 3 Department of Information and Computer Science,Guangxi University of Technology,Liuzhou 545006,China | 2008 | Science China Mathematics2008，51，5： | 11 |
| 3 | NONLINEAR GALERKIN METHODS FOR SOLVING TWO DIMENSIONAL NEWTON-BOUSSINESQ EQUATIONS显示文摘NONLINEARGALERKINMETHODSFORSOLVINGTWODIMENSIONALNEWTON-BOUSSINESQEQUATIONS￥GUOBOLINGAbstract:ThenonlinearGalerkinmethodsforso... | GUO BOLING(Center for Nonlineajr Studies,Institute of Applied Physics and Computational Mathematics, Beijing100088, China.) | 1995 | Chinese Annals of Mathematics,Series B1995，16，3： | 8 |
| 4 | Periodic blow-up solutions and their limit forms for the generalized Camassa-Holm equation显示文摘In this paper, we consider the generalized Camassa-Holm equation u_t+2ku_x-u_(xxt)+ au^2u_x=2u_xu_(xx)+uu_(xxx) Under substitution ξ=x-ct, some new explicit periodic wave solutions and their limit forms are presented through some special phase orbits. These periodic wave solutions tend to infinity on ξ-u plane periodically. Thus we call them periodic blow-up solutions. To our knowledge, such periodic blow-up solutions have not been found in any other equations. | Zhengrong Liu Boling Guo | 2008 | Progress in Natural Science:Materials International2008，18，3： | 6 |
| 5 | GLOBAL SOLUTION AND ITS LONG TIME BEHAVIOR FOR THE GENERALIZED LONG-SHORT WAVE EQUATIONS显示文摘 | Zhang Ruifeng Guo Boling | 2005 | Journal of Partial Differential Equations2005，18，3： | 6 |
| 6 | Existence of global attractor for a dissipative generalized KdV equation显示文摘The global attractor problem of a dissipative generalized KdV equation with periodic boundary condition was studied. The existence of global attractors of this problem was proved by means of a uniform a priori estimate for time. | FANG Shaomei and GUO Boling( Department of Mathematics, Shaoguan University, Shaoguan 512005, China Graduate School, Chinese Academy of Engineering Physics, Beijing 100088, China Institute of Applied Physics and Computational Mathematics, Beijing 100088, China) | 2002 | Progress in Natural Science:Materials International2002，12，3： | 4 |
| 7 | Exponential Attractors for the Generalized Ginzburg-Landau Equation | Boling Guo Institute of Applied Physics and Computational Mathematics P.O.Box 8009,Beijing,100088,P.R.ChinaBixiang Wang Department of Mathematics,Brigham Young University,Provo,UT84602,USA | 2000 | Acta Mathematica Sinica,English Series2000，16，3： | 4 |
| 8 | N SOLITON SOLUTION FOR A CLASS OF THE SYSTEM OF LS NONLINEAR WAVE INTERACTION显示文摘In this note,the explicit form of the N soliton solutions for a class of the system of LS nonlinear wave interaction have been obtained by using Hirota's method. | GUO Boling PAN Xiude | 1990 | Chinese Physics Letters1990，7，6： | 4 |
| 9 | On the Cauchy Problem of the Ginzburg-Landau Equations for Atomic Fermi Gases Near the BCS-BEC Crossover显示文摘 | CHEN Shuhong GUO Boling | 2009 | Journal of Partial Differential Equations2009，22，3： | 4 |
| 10 | Implicit finite difference method for fractional percolation equation with Dirichlet and fractional boundary conditions显示文摘An implicit finite difference method is developed for a one-dimensional fractional percolation equation(FPE) with the Dirichlet and fractional boundary conditions.The stability and convergence are discussed for two special cases, i.e., a continued seepage flow with a monotone percolation coefficient and a seepage flow with the fractional Neumann boundary condition. The accuracy and efficiency of the method are checked with two numerical examples. | Boling GUO Qiang XU Zhe YIN | 2016 | Applied Mathematics and Mechanics(English Edition)2016，37，3： | 4 |
| 11 | Blow-up phenomena of the vector nonlinear Schrdinger equations with magnetic fields显示文摘This paper is concerned with the finite time blow-up phenomena for the vector nonlinear Schrdinger equations with a magnetic field which describe the spontaneous generation of a magnetic field in a cold plasma in the subsonic limit. After obtaining some a priori estimates,we prove under certain natural conditions that the solutions to the Cauchy problem of the vector nonlinear Schrdinger equations in two and three spatial dimensions blow up in a finite time. Assuming that a solution to the aforementioned vector nonlinear Schrdinger equations is radially symmetric with respect to spatial variables x,we show that if the initial energy is non-positive,then the solution blows up in three dimensions in a finite time. | GAN ZaiHui GUO BoLing | 2011 | Science China Mathematics2011，54，10： | 3 |
| 12 | Global existence theory for the two-dimensional derivative Ginzburg-Landau equation显示文摘The generalized derivative Ginzburg-Landau equation in two spatial dimensions is discussed. The existence and uniqueness of global solution are obtained by Galerkin method and by a priori estimates on the solution in H+1 -norm and H +2-norm. | Zhenchao Cao Boling Guo Bixiang Wang | 1998 | Chinese Science Bulletin1998，43，5： | 3 |
| 13 | 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 |
| 14 | Global regular solution for Landau-lifshitz equation显示文摘 | Guo Boling Han Yongqian | | (to appear)0，，： | 2 |
| 15 | Existence and uniqueness of smooth solution for the system of ferro-magnetic chain显示文摘 | Zhou Yulin Guo Boling Tan Shaobin | 1991 | Science in China1991，，： | 2 |
| 16 | Finite dimensional global and exponential attractors for a class of coupled time-dependent Ginzburg-Landau equations显示文摘We study a coupled nonlinear evolution system arising from the Ginzburg-Landau theory for atomic Fermi gases near the BCS (Bardeen-Cooper-Schrieffer)-BEC (Bose-Einstein condensation) crossover.First,we prove that the initial boundary value problem generates a strongly continuous semigroup on a suitable phase-space which possesses a global attractor.Then we establish the existence of an exponential attractor.As a consequence,we show that the global attractor is of finite fractal dimension. | JIANG Jie WU Hao GUO BoLing | 2012 | Science China Mathematics2012，55，1： | 2 |
| 17 | On the Suitable Weak Solutions to the Boussinesq Equations in a Bounded Domain | Guo Boling Yuan Guangwei Guo Boling Yuan Guangwei Institute of Applied Physics and Computational Mathematics Beijing,100088 China | 1996 | Acta Mathematica Sinica,English Series1996，12，2： | 2 |
| 18 | On the existence of atmospheric attractors显示文摘In this paper, we consider the long-time dynamics for the primitive equations of large-scale dry at- mosphere. First, by energy methods, we obtain the existence and uniqueness of global strong solu- tions of the problem. Second, by studying the long-time behavior of strong solutions, we construct a global attractor which captures all the trajectories. | Huang DaiWen Guo BoLing | 2008 | Science China Earth Sciences2008，51，3： | 2 |
| 19 | GEVREY CLASS REGULARITY AND APPROXIMATE INERTIAL MANIFOLDS FOR THE NEWTON-BOUSSINESQ EQUATIONS显示文摘§1.IntroductionApproximateinertialmanifoldsarerelatedtothestudyoflongtimebehaviourofsolutionsofdisipativepartialdiferentialeq... | GUO BOLING * WANG BIXIANG ** | 1998 | Chinese Annals of Mathematics,Series B1998，19，2： | 2 |
| 20 | Global well-posedness of the fractional Klein-Gordon-Schr¨odinger system with rough initial data显示文摘We investigate the low regularity local and global well-posedness of the Cauchy problem for the coupled Klein-Gordon-Schr¨odinger system with fractional Laplacian in the Schr¨odinger equation in R^(1+1). We use Bourgain space method to study this problem and prove that this system is locally well-posed for Schr¨odinger data in H^(s_1) and wave data in H^(s_2) × H^(s_2-1)for 3/4- α < s_1≤0 and-1/2 < s_2 < 3/2, where α is the fractional power of Laplacian which satisfies 3/4 < α≤1. Based on this local well-posedness result, we also obtain the global well-posedness of this system for s_1 = 0 and-1/2 < s_2 < 1/2 by using the conservation law for the L^2 norm of u. | HUANG ChunYan GUO BoLing HUANG DaiWen LI QiaoXin | 2016 | Science China Mathematics2016，59，7： | 2 |
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