An efficient and highly accurate spectral method for modeling the propagation of solitary magnetic spin waves in thin films

Marios A. Christou, Nectarios C. Papanicolaou, Christodoulos Sophocleous

    Research output: Contribution to journalArticle

    Abstract

    In previous works, it was shown that the propagation of magnetic spin waves in thin films can be approximated by a nonlinear Schrödinger-type equation. The formulation begins with the magnetostatic equations (Gauss and Ampere’s laws of magnetism) and the Landau–Lifshitz equation. The solution of this system is a potential function whose dimensionless amplitude is the solution of a nonlinear Schrödinger. In the current work, we are demonstrating an efficient infinite series solution using the Christov functions. This is the first time the functions are used in problems involving complex arithmetics. The solutions of the time-independent and time-dependent problems are given in complex series form.

    Original languageEnglish
    Article number205
    JournalComputational and Applied Mathematics
    Volume39
    Issue number3
    DOIs
    Publication statusPublished - 1 Sep 2020

    Keywords

    • Galerkin
    • Magnetic thin solitons
    • Spectral method

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