检索结果-南通市图书馆

Exact Boundary Controllability of fifth-order kdv equation Posed on the Periodic Domain

Journal of Partial Differential equations 2022年第2期35卷 163-172页

作者： YANG Shuning ZHAO Xiangqing Schol of Information and Engineering Zhejang Ocean UniversityZhoushan316022China Department of Mathmatics Suqian UniversitySuqian 223800China

In this paper,we show by Hilbert Uniqueness Method that the boundary value problem of fifth-order kdv equation{y_(t)-y_(5x)=0,(x,t)∈(0,2π)×(0,T),y(t,2π)-y(t,0)=h_(0)(t),y_(x)(t,2π)-y_(x)(t,0)=h_(1)(t),y_(2x)(t,2π)-y_(2x)(t,0)=h_(2)(t),y_(3x)(t,2π)-y_(3x)(t,0)=h_(3)(t),y_(4x)(t,2π)-y_(4x)(t,0)=h_(4)(t),(with boundary data as control inputs)is exact controllability.

关键词： fifth-order kdv equation Hilbert Uniqueness Method exact controllability

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

the novel multi-solitary wave solution to the fifth-order kdv equation

引用

Chinese Physics B 2004年第10期13卷 1606-1610页

作者：张翼陈登远 DepartmentofMathematics ZhejiangNormalUniversityJinhua321004China DepartmentofMathematics ShanghaiUniversityShanghai200436China

By using Hirota's method, the novel multi-solitary wave solutions to the fifth-order kdv equation are obtained.Furthermore, various new solitary wave solutions are also derived by a reconstructed bilinear Backlund tra... 详细信息

关键词： solitary wave bilinear method Backlund transformation fifth-order kdv equation

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

LOCAL DISCONTINUOUS GALERKIN METHODS FOR THREE CLASSES OF NONLINEAR WAVE equationS

引用

Journal of Computational Mathematics 2004年第2期22卷 250-274页

作者： YanXu Chi-wangShu DepartmentofMathematics UniversityofScienceandTechnologyofChinaHefei230026China DivisionofAppliedMathematics BrownUniversityProvidenceRI02912USA

In this paper, we further develop the local discontinuous Galerkin method to solve three classes of nonlinear wave equations formulated by the general kdv-Burgers type equations, the general fifth-order kdv type equations and the fully nonlinear K(n, n, n) equations, and prove their stability for these general classes of nonlinear equations. The schemes we present extend the previous work of Yan and Shu [30, 31] and of Levy, Shu and Yan [24] on local discontinuous Galerkin method solving partial differential equations with higher spatial derivatives. Numerical examples for nonlinear problems are shown to illustrate the accuracy and capability of the methods. The numerical experiments include stationary solitons, soliton interactions and oscillatory solitary wave solutions.The numerical experiments also include the compacton solutions of a generalized fifthorder kdv equation in which the highest order derivative term is nonlinear and the fully nonlinear K (n, n, n) equations.

关键词： Local discontinuous Galerkin method kdv-Burgers equation fifth-order kdv equation Stability

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

The simplified Hirota’s method for studying three extended higher-order kdv-type equations

引用

Journal of Ocean Engineering and Science 2016年第3期1卷 181-185页

作者： Abdul-Majid Wazwaz Department of Mathematics Saint Xavier UniversityChicagoIL 60655USA

In this work we study three extended higher-order kdv-type equations.The Lax-type equation,the Sawada-Kotera-type equation and the CDG-type equation are derived from the extended kdv equation.We use the simplified Hirota’s direct method to derive multiple soliton solutions for each equation.We show that each model gives multiple soliton solutions,where the structures of the obtained solutions differ from the solutions of the canonical form of these equations.

关键词： fifth-order kdv equation Hirota’s method Dispersion relation

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：