TY - JOUR
T1 - An efficient and highly accurate spectral method for modeling the propagation of solitary magnetic spin waves in thin films
AU - Christou, Marios A.
AU - Papanicolaou, Nectarios C.
AU - Sophocleous, Christodoulos
PY - 2020/9/1
Y1 - 2020/9/1
N2 - 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.
AB - 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.
KW - Galerkin
KW - Magnetic thin solitons
KW - Spectral method
UR - http://www.scopus.com/inward/record.url?scp=85087842405&partnerID=8YFLogxK
U2 - 10.1007/s40314-020-01230-7
DO - 10.1007/s40314-020-01230-7
M3 - Article
AN - SCOPUS:85087842405
SN - 2238-3603
VL - 39
JO - Computational and Applied Mathematics
JF - Computational and Applied Mathematics
IS - 3
M1 - 205
ER -