Research ArticleNo Access

New fractional Heisenberg antiferromagnetic model and solitonic magnetic flux surfaces with normal direction

T. Korpinar

Mathematics Department, Mus Alparslan University, Guzeltepe Campus, Mus, 49250, Turkey

E-mail Address: talatkorpinar@gmail.com

Corresponding author.

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R. Cem Demirkol

Mathematics Department, Mus Alparslan University, Guzeltepe Campus, Mus, 49250, Turkey

E-mail Address: rcdemirkol@gmail.com

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, and

Z. Korpinar

Administration Department, Mus Alparslan University, Guzeltepe Campus, Mus, 49250, Turkey

E-mail Address: z.korpinar@alparslan.edu.tr

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https://doi.org/10.1142/S021988782150136XCited by:6 (Source: Crossref)

Abstract

In this paper, we study applications of fractional Heisenberg antiferromagnetic model associated with the magnetic $n$ $n$ -lines in the normal direction. Evolution equations of magnetic $n$ $n$ -lines due to inextensible Heisenberg antiferromagnetic flow are computed to construct the soliton surface associated with the inextensible Heisenberg antiferromagnetic flow. Then, their explicit solutions are examined in terms of magnetic and geometric quantities via the conformable fractional derivative method. Finally, we obtain new numerical fractional solutions for nonlinear fractional Schrödinger system with the inextensible Heisenberg antiferromagnetic flow model.

Keywords:

AMSC: 78A05, 53A35, 35C08

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