https://doi.org/10.1140/epjp/s13360-023-03754-3
Regular Article
Nonlinear generation modes in easy-axis anisotropy ferromagnetic spin chains with nearest-neighbor coupling
1
Department of Marine Engineering, Limbé Nautical Arts and Fisheries Institute, P.O Box 485, Limbé, Cameroon
2
Department of Basic Science, National Advanced School of Mines and Petroleum Industries, The University of Maroua, P.O Box 08, Kaélé, Cameroon
3
Department of Physics, Faculty of Science, The University of Maroua, P.O Box 814,, Maroua, Cameroon
4
Department of Mathematics, Lafayette College, Easton, PA, USA
5
Department of Physics, Faculty of Science, The University of Ngaoundèré, P.O Box 454,, Ngaoundèré, Cameroon
a
ahouw220@yahoo.fr
b
abbagaris@yahoo.fr
Received:
22
October
2022
Accepted:
30
January
2023
Published online:
7
February
2023
In this paper, we consider the Heisenberg ferromagnetic lattices with single-ion easy-axis anisotropy to show the effects of the nearest-neighbor coupling on discrete modulation instability and localized energy in the forbidden gap. We use the multi-scale scheme to establish the nonlinear Schrödinnger equation from where it was carried out the static breather equation together with the threshold amplitude. Thus, one end of the spin chains was submitted to an external periodic boundary. It results that the nearest-neighbor coupling parameter induced instability in the forbidden frequency gap by increasing the amplitude of the plane wave. The most important feature of this investigation is the fact that the driven amplitude is considered below the threshold amplitude and the nonlinear supratransmission phenomenon arises. These outcome shed light on the fact that the Heisenberg ferromagnetic spin chains with a single-ion easy-axis anisotropy could be used to generate both long-lived temporal localized solitons and nonlinear supratransmission phenomenon.
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