《郭柏灵论文集 第2卷》PDF下载

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  • 作  者:郭柏灵著
  • 出 版 社:广州:华南理工大学出版社
  • 出版年份:2006
  • ISBN:7562324794
  • 页数:318 页
图书介绍:本书收录了郭柏灵院士在1986~1991年之间的理论科学研究论文。主要是对力学和物理学等应用学科中出现的许多重要的非线形方程进行了系统的研究。

Some Boundary Problems of the Spin Systems and the Systems of Ferro-magnetic Chain Ⅰ.Nonlinear Boundary Problems 1

1986年 1

多变量铁磁链组齐次边值问题的弱解 17

Initial Value Problems for a Nonlinear Singular Integral-differential Equation of Deep Water 30

Initial Boundary Value Problem for One Class of System of Multidimensional Inhomogeneous GBBM EquationsInitial 42

一类具磁场效应的非线性Schr?dinger方程组的初边值问题 55

Some Boundary Problems of the Spin Systems and the Systems of Ferro-magnetic Chain Ⅱ.Mixed Problems and others 69

Existence and Nonexistence of Global Solution,Soliton Solution for a Class of the Systems of Generalized Zakharov Equations 81

The Global Solution for One Class of the System of LS Nonlinear Wave Interaction 90

1987年 90

一类多维四阶强非线性Schr?dinger方程组初边值问题的整体解 98

The Spectral Method for Symmetric Regularized Wave Equations 108

BBM—非线性Schr?dinger耦合方程组的整体解 119

1988年 127

一类具磁场效应的三维非线性Schr?dinger方程组的整体解及其渐近性质 127

Initial Boundary Value Problem for One Class of System of Multidimensional Nonlinear Schr?dinger-Boussinesq Type Equatins 141

Existence And Nonexistence For the Initial Boundary Value Problem of One Class of System of Multidimensional Nonlinear Schr?dinger Equations with Operator and Their Soliton Solutions 151

1989年 151

The Initial Value Problem for One Class of the System of Pekar-Choquard Type Nonlinear Schr?dinger Euations in 3-dimensions 163

1990年 185

N-soliton Solution for a Class of the System of LS Nonlinear Wave Interaction 185

The Global Solution of Initial Value Problem for Nonlinear Schr?dinger-Boussinesq Equation in 3-dimensions 189

Some Problems of Nonlinear Schr?dinger Equations with the Effect of Dissipation 201

Global Smooth Solutions for the System of Zakharov Equations in Nonhomogeneous Medium 221

解高维广义BBM方程的谱方法和拟谱方法 233

由边界脉冲产生的孤立波解 246

1991年 252

On Smooth Solutions to the Initial Value Problem for the Mixed Nonlinear Schr?dinger Equations 252

Global Smooth Solution for a Coupled Nonlinear Wave Equations 265

铁磁链方程组光滑解的存在唯一性 271

Conservative Scheme for a Model of Nonlinear Dispersive Waves and Its Solitary Waves Induced by Boundary Motion 284

一类广义LS型方程组的周期初值和初值问题 296

Similarity Transformation,the Structure of the Traveling Waves Solution and the Exisitence of a Global Smooth Solution to Generalized Kuramoto Sivashinsky Type Equations 302

一类四阶强非线性Schr?dinger方程组整体解的存在性和“Blow up”问题 310