Asymptotic Solution on a Class of Nonlinear Surface Waves along the Boundary of Crystal

SHI Juanrong; LIN Wantao; MO Jiaqi

您当前的位置：

首页 >

文章列表页 >

Asymptotic Solution on a Class of Nonlinear Surface Waves along the Boundary of Crystal

更新时间：2023-12-11

- Asymptotic Solution on a Class of Nonlinear Surface Waves along the Boundary of Crystal
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 54, Issue 6, Pages: 41-45(2015)
- 作者机构：
  
  1. 安徽机电职业技术学院,安徽,芜湖,241002
  2. 
  3. 上海交通大学数学系,上海,200240
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：25 November 2015，
扫描看全文
SHI Juanrong, LIN Wantao, MO Jiaqi. Asymptotic Solution on a Class of Nonlinear Surface Waves along the Boundary of Crystal. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(6):41-45(2015)
DOI：

SHI Juanrong, LIN Wantao, MO Jiaqi. Asymptotic Solution on a Class of Nonlinear Surface Waves along the Boundary of Crystal. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(6):41-45(2015) DOI：

摘要

研究了一类晶体界面非线性表面波。首先考虑了对应的晶体界面表面波方程，引入一个新的具有限制变量的泛函，并求出其变分。再利用变分原理，构造了一个经过改进后的广义变分迭代式。然后选取相应问题解的初始函数，并由新的迭代关系式依次求出各次渐近解析解。举例说明了用本方法求得的渐近解具有较好的近似度。最后叙述了得到的渐近解的物理意义。

Abstract

A class of nonlinear surface waves along the boundary of crystal is studied. Firstly

the surface wave equation along the boundary of crystal is built. Leading into a functional with the new restricted variation and its variational is calculated. Secondly

a new improved generalized variational iteration is structured. Then the initial function of solution for corresponding problem is structured. From the new variational iteration

the each time asymptotic analytic solution is found successively. And from example

the accuracy of solution is very good by using this method. Finally

the physical meaning of obtained asymptotic solution is related.

关键词

表面波渐近解变分晶体

Keywords

surface wavesasymptotic solutionvariationalcrystal

references

Views

431

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

The generalized asymptotic solution for nonlinear singular perturbation reaction diffusion problem

A class of nonlinear dynamic system of human groups for HIV transmission

Related Author

FENG Yihu

CHEN Xiangfeng

MO Jiaqi

Related Institution

Anhui Technical College of Mechanical and Electrical Engineering



Department of Mathematics, Shanghai Jiaotong University

Department of Mathematics, Anhui Normal University

Department of electronics and Information Engineering, Bozhou College

Postal code：510275
Tel：020-84112585，84113223 Email：xuebaozr@mail.sysu.edu.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09064830号-19 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰