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TRAVELING VORTEX HELICES FOR SCHRODINGER MAP EQUATIONS

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成果类型:
期刊论文
作者:
Wei, Juncheng*;Yang, Jun*
通讯作者:
Wei, Juncheng;Yang, Jun
作者机构:
[Wei, Juncheng] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada.
[Wei, Juncheng] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China.
[Yang, Jun] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Yang, Jun] Shenzhen Univ, Coll Math & Computat Sci, Nanhai Ave 3688, Shenzhen 518060, Peoples R China.
通讯机构:
[Wei, Juncheng] U
[Wei, Juncheng; Yang, Jun] C
[Yang, Jun] S
Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada.
Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China.
语种:
英文
期刊:
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN:
0002-9947
年:
2016
卷:
368
期:
4
页码:
2589-2622
基金类别:
NSERC of CanadaNatural Sciences and Engineering Research Council of Canada (NSERC); RGC of Hong KongHong Kong Research Grants Council; foundation NSFCNational Natural Science Foundation of China (NSFC) [10901108, 11371254]
机构署名:
本校为通讯机构
院系归属:
数学与统计学学院
摘要:
We construct traveling wave solutions with vortex helix structures for the Schrodinger map equation partial derivative m/partial derivative t = m x (Delta m - m3 (e) over right arrow3) on R-3 x R of the form m(s(1), s(2), s(3) - delta vertical bar log epsilon vertical bar epsilon t) with traveling velocity delta vertical bar log epsilon vertical bar epsilon along the direction of the s3 axis. We use a perturbation approach which gives a complete c...

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