检索结果-南通市图书馆

Variable Separation and Exact Separable Solutions for Equations of Type uxt=A（u,ux）uxx＋B（u,ux）

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2006年第6期45卷 969-978页

作者： ZHANG Shun-Li Center for Nonlinear Studies Department of Mathematics Northwest University Xi＇an 710069 China Institute of Modern Physics Northwest University Xi＇an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China

The generalized conditional symmetry is developed to study the variable separation for equations of type uxt = A（u,ux）uxx ＋ B（u, ux）. Complete classification of those equations which admit derivative-dependent fu... 详细信息

关键词： nonlinear evolution equations variable separation generalized conditional symmetry

Classification and Functional Separable Solutions to Extended Nonlinear Wave Equations

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2005年第10期44卷 589-596页

作者： ZHANG Shun--Li LOU Sen--Yue QU Chang--Zheng YUE Rui--Hong Institute of Modern Physics, Northwest University, Xi'an 710069, China Department of Mathematics, Northwest University, Xi'an 710069, China Center of Nonlinear Science, Ningbo University, Ningbo 315211, China Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China Institute of Modern Physics Northwest University Xi'an 710069 China Department of Mathematics Northwest University Xi'an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China

The generalized conditional symmetry approach is applied to study the variable separation of the extendedwave equations. Complete classification of those equations admitting functional separable solutions is obtained ... 详细信息

关键词： nonlinear wave equations functional separable solutions generalized conditional symmetry

Functional Variable Separation for Extended Nonlinear Elliptic Equations

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2007年第3X期48卷 385-390页

作者： ZHANG Shun-Li Center for Nonlinear Studies Department of Mathematics Northwest University Xi'an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China

This paper is devoted to the study of functional variable separation for extended nonlinear elliptic equations. By applying the functional variable separation approach to extended nonlinear elliptic equations via the generalized conditional symmetry, we obtain complete classification of those equations which admit functional separable solutions （FSSs） and construct some exact FSSs to the resulting equations.

关键词： nonlinear elliptic equation functional variable separation generalized conditional symmetry

symmetry Reduction and Cauchy Problems for a Class of Fourth-Order Evolution Equations

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第7期50卷 31-38页

作者： LI Ji-Na ZHANG Shun-Li Center for Nonlinear Studies Department of Mathematics Northwest University Xi＇an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China

We exploit higher-order conditional symmetry to reduce initial-value problems for evolution equations toCauchy problems for systems of ordinary differential equations (ODEs).We classify a class of fourth-order evolutionequations which admit certain higher-order generalized conditional symmetries (GCSs) and give some examples to showthe main reduction *** reductions cannot be derived within the framework of the standard Lie approach,which hints that the technique presented here is something essential for the dimensional reduction of evolu tion equations.

关键词： fourth-order evolution equation generalized conditional symmetry Cauchy problem

Variable Separation for(1+1)-Dimensional Nonlinear Evolution Equations with Mixed Partial Derivatives

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第10期50卷 797-802页

作者： WANG Peng-Zhou ZHANG Shun-Li Center for Nonlinear Studies Department of Mathematics Northwest University Xi＇an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China

We present basic theory of variable separation for (1 + 1)-dimensional nonlinear evolution equations withmixed partial *** an application,we classify equations u_(xt)=A(u,u_x)u_(xxx)+B(u,u_x) that admits derivative-de... 详细信息

关键词： (1 + 1)-dimensional nonlinear evolution equations variable separation generalized conditional symmetry derivative-dependent functional separable solution

Cauchy Problems for KdV-type Equations and Higher-Order conditional Symmetries

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第3期49卷 545-548页

作者： LI Ji-Na ZHANG Shun-Li ZUO Su-Li Center for Nonlinear Studies Department of Mathematics Northwest University Xi＇an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China

We develop the generalized conditional symmetry （GCS） approach to solve the problem of dimensional reduction of Cauchy problems for the KdV-type equations. We characterize these equations that admit certain higherorder GCSs and show the main reduction procedure by some examples. The obtained reductions cannot be derived within the framework of the standard Lie approach.

关键词： KdV-type equations generalized conditional symmetry Cauchy problem

Extension of Variable Separable Solutions for Nonlinear Evolution Equations

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第4期49卷 829-832页

作者： ZHANG Shun-Li ZHU Xiao-Ning WANG Yong-Mao LOU Sen-Yue Center for Nonlinear Studies Department of Mathematics Northwest University Xi＇an 710069 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Center of Nonlinear Science Ningbo University Ningbo 315211 China School of Science Xi＇an Jiaotong University Xi＇an 710049 China

We give the generalized definitions of variable separable solutions to nonlinear evolution equations, and characterize the relation between the functional separable solution and the derivative-dependent functional separable solution. The new definitions can unify various kinds of variable separable solutions appearing in references. As application, we classify the generalized nonlinear diffusion equations that admit special functional separable solutions and obtain some exact solutions to the resulting equations.

关键词： nonlinear evolution equation variable separable solution generalized conditional symmetry

The derivative-dependent functional variable separation for the evolution equations

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2006年第12期15卷 2765-2776页

作者：张顺利楼森岳屈长征 Institute of Modern Physics Northwest University Xi'an 710069 China Department of Mathematics Northwest University Xi' an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China

This paper studies variable separation of the evolution equations via the generalized conditional symmetry. To illustrate, we classify the extended nonlinear wave equation utt = A（u, ux）uxx＋B（u, ux, ut） which admits the derivative- dependent functional separable solutions （DDFSSs）. We also extend the concept of the DDFSS to cover other variable separation approaches.

关键词： derivative-dependent functional variable separation evolution equations generalized conditional symmetry