Geometric Schrodinger-Airy flows on Kahler manifolds

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	Geometric Schrodinger-Airy flows on Kahler manifolds
其他题名	Geometric Schrodinger–Airy Flows on Kahler Manifolds
	Sun Xiao Wei 1; Wang You De 2
	2013
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	29 期号:2 页码:209-240
摘要	We define a class of geometric flows on a complete Kahler manifold to unify some physical and mechanical models such as the motion equations of vortex filament, complex-valued mKdV equations, derivative nonlinear Schrodinger equations etc. Furthermore, we consider the existence for these flows from S (1) into a complete Kahler manifold and prove some local and global existence results.
其他摘要	We define a class of geometric flows on a complete Kahler manifold to unify some physical and mechanical models such as the motion equations of vortex filament, complex-valued mKdV equations, derivative nonlinear Schrodinger equations etc. Furthermore, we consider the existence for these flows from S1 into a complete Kahler manifold and prove some local and global existence results.
关键词	GLOBAL WELL-POSEDNESS VORTEX FILAMENT SYMMETRIC-SPACES MKDV EQUATIONS AXIAL-FLOW MAPS SOLITON KDV Schrodinger-Airy flow complex-valued mKdV equation KdV flow generalized Hasimoto transformation geometric energy method conversation laws
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China]
CSCD记录号	CSCD:4777794
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56121
专题	中国科学院数学与系统科学研究院
作者单位	1.Cent University Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Sun Xiao Wei,Wang You De. Geometric Schrodinger-Airy flows on Kahler manifolds[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2013,29(2):209-240.
APA	Sun Xiao Wei,&Wang You De.(2013).Geometric Schrodinger-Airy flows on Kahler manifolds.ACTA MATHEMATICA SINICA-ENGLISH SERIES,29(2),209-240.
MLA	Sun Xiao Wei,et al."Geometric Schrodinger-Airy flows on Kahler manifolds".ACTA MATHEMATICA SINICA-ENGLISH SERIES 29.2(2013):209-240.