Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling

Xie Jiayu¹, Deng Zhihao¹, Chang Xia¹, Tang Bing^{1, 2, †}

Temporal evolution of the Brillouin zone center mode: (a) D = 0, (b) D = 2. The relevant parameters are set to J = 1, S = 10, a = 1, γ =0.2, A = 10, C₀ =0.08, m₀ =300, g = μ B = 1 , and B = 1.