English  |  正體中文  |  简体中文  |  Items with full text/Total items : 62822/95882 (66%)
Visitors : 4015783      Online Users : 544
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122690

    Title: Periodic Cauchy problem of Heisenberg ferromagnet and its geometric framework
    Authors: Liu, Hsiao-Fan
    Keywords: Heisenberg ferromagnet;vortex filament equation;nonlinear Schro ̈dinger equation;implicit spectral method
    Date: 2022-01-16
    Issue Date: 2022-05-07 12:10:38 (UTC+8)
    Publisher: Birkhaeuser Science
    Abstract: We formulate algebraically solutions to the isotropic Heisen- berg ferromagnet, which is an integrable geometric curve flow. The derivation is based on correspondences between this Heisenberg ferromagnet and the nonlinear Schro ̈dinger equation. The existence of solutions to the Cauchy problems of the isotropic Heisenberg ferromagnet with periodic boundary conditions follows from the correspondence. We then obtain a geometric framework of algorithms to solve the periodic Cauchy problem numerically for the Heisenberg ferromagnet. Analytical and experimental results will be presented.
    Relation: Journal of Fixed Point Theory and Applications 24, 16
    DOI: 10.1007/s11784-021-00913-w
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

    Files in This Item:

    File Description SizeFormat
    Periodic Cauchy problem of Heisenberg ferromagnet and its geometric framework.pdf1192KbAdobe PDF48View/Open

    All items in 機構典藏 are protected by copyright, with all rights reserved.

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - Feedback