|本期目录/Table of Contents|

微结构固体材料中非线性发展方程孤波解的稳定性(PDF)

《内蒙古大学学报(自然科学版)》[ISSN:1000-9035/CN:22-1262/O4]

期数:
2012年04期
页码:
358-361
栏目:
研究论文
出版日期:
2012-08-30

文章信息/Info

Title:
The Stability of Solitary Wave Families for a Microstructure PDE
作者:
赵烨1 崔丽威2
1. 北京石油化工学院数理系, 北京 102617;
2. 装甲兵工程学院基础部, 北京 100072
Author(s):
ZHAO Ye1 CUI Li-wei2
1. Department of Mathematics and Physics, Beijing Institute of Petrolchemical-Technology, Beijing 102617, China;
2. Fundamental Department, Academy of Armored Force Engineering, Beijing 100072, China
关键词:
孤立波轨道稳定谱分析
Keywords:
solitary wavesorbital stabilityspectral analysis
分类号:
O175.2
DOI:
-
文献标识码:
-
摘要:
利用Grillakis,Shatah,Strauss提出的轨道稳定性理论和谱分析,研究微结构固体材料中的一个非线性发展方程,证明了该方程的一类孤波解的轨道稳定性和不稳定性.
Abstract:
Solitary wave families of a microstructured materials are studied,by applying the abstract results developed by Grillakis stability/instability of solitary Shatah and Strauss and by using the detailed spectral analysis. The orbital waves of the equations is obtained.

参考文献/References

[1] Leto J A,Choudhury S R. Solitary Wave Families of a Generalized Microstructure PDE[J].Commun Nonlinear Sci Numer Simulat,2009,(05):1999-2005.
[2] Janno J,Enge lbrecht J. An Inverse Solitary Wave Problem Related to Microstructured Materials[J].Inverse Problems,2005,(06):2019-2034.
[3] Engelbrecht J,Berezovski A,Salupere A. Nonlinear Deformation Waves in Solids and Dispersion[J].Wave Motion,2007,(06):493-500.
[4] 高克权. 微结构固体材料中一个非线性发展方程的精确孤立波解[J].河南科技大学学报(自然科学版),2010,(03):82-84.
[5] Grillakis.M,Statah.J,Strauss.W. Stability theory of solitary waves in the presence of symmetry[J].I J Functional Analysis,1987.160-197.
[6] LiuYue. Instability of solitary waves for generalized bussinessq equations[J].Journal Dynamics and Differential Equations,1993,(03):537-558.

备注/Memo

备注/Memo:
收稿日期:2012-2-23;改回日期:。
基金项目:北京石油化工学院青年基金(10010702001)
作者简介:赵烨(1978-),女,北京市人,讲师E-mail:wzhaoye2002@tom.com.
更新日期/Last Update: 1900-01-01