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Geometric Schrodinger-Airy flows on Kahler manifolds
Alternative TitleGeometric Schrodinger–Airy Flows on Kahler Manifolds
Sun Xiao Wei1; Wang You De2
2013
Source PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1439-8516
Volume29Issue:2Pages:209-240
AbstractWe 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.
Other AbstractWe 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.
KeywordGLOBAL 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
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China]
CSCD IDCSCD:4777794
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/56121
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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