|本期目录/Table of Contents|

[1]王越,张丽俊.广义可压缩杠杆方程的精确行波解[J].浙江理工大学学报,2018,39-40(自科5):624-629.
　WANG Yue,ZHANG Lijun.The accurate traveling wave solution to a generalizedcompressible lever equation[J].Journal of Zhejiang Sci-Tech University,2018,39-40(自科5):624-629.
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广义可压缩杠杆方程的精确行波解()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第39-40卷
期数:
2018年自科5期
页码:
624-629
栏目:
出版日期:
2018-08-31

文章信息/Info

Title:
The accurate traveling wave solution to a generalizedcompressible lever equation
文章编号:
1673-3851 (2018) 09-0624-06
作者:
王越; 张丽俊
浙江理工大学理学院，杭州 310018
Author(s):
WANG Yue;  ZHANG Lijun
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
行波解; 动力系统; 分支理论; 可压缩杠杆方程
分类号:
O193
文献标志码:
A
摘要:
运用微分方程定性理论和动力系统分支方法研究了一类广义可压缩杠杆方程的有界行波解。再次说明了行波系统的奇直线对非线性波方程行波解光滑性的影响，奇直线的存在使得非线性波方程的行波解产生了奇异性。通过对奇异行波系统的与奇直线相交或趋于奇直线的轨道的分析，得到了该方程的奇异行波解。结果证明，广义可压缩杠杆方程具有光滑孤波解、光滑周期波解、孤立peakon、周期peakon、周期cuspon和compacton。

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期： 2018-04-05
网络出版日期： 2018-06-04
基金项目： 国家自然科学基金项目(11672270)；浙江省自然科学基金项目(LY15A010021)
作者简介： 王越(1991- )，女，安徽六安人，硕士研究生，主要从事微分方程方面的研究
通信作者： 张丽俊，E-mail：lijun0608@163.com
更新日期/Last Update: 2018-09-12