Hasimoto Maps for Nonlinear Schrödinger Equations in Minkowski Space
نویسندگان
چکیده
Abstract In this paper, we study the vortex filament flow for timelike and spacelike curves in Minkowski 3-space. The equations of are equivalent to nonlinear Schrödinger equation heat equation, respectively. As a consequentce, prove that soliton curve gives solution traveling wave on line at infinity. Also, terms new complex frame. Finally, discuss method find exact shape from by solving Frenet vectors these provide applications illustrate method.
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2022
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1007/s44198-022-00059-4