Periodic Cauchy problem of Heisenberg ferromagnet and its geometric framework

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/122690

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題名:	Periodic Cauchy problem of Heisenberg ferromagnet and its geometric framework
作者:	Liu, Hsiao-Fan
關鍵詞:	Heisenberg ferromagnet;vortex filament equation;nonlinear Schro ̈dinger equation;implicit spectral method
日期:	2022-01-16
上傳時間:	2022-05-07 12:10:38 (UTC+8)
出版者:	Birkhaeuser Science
摘要:	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.
關聯:	Journal of Fixed Point Theory and Applications 24, 16
DOI:	10.1007/s11784-021-00913-w
顯示於類別:	[數學學系暨研究所] 期刊論文

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