Solitary wave for a nonintegrable discrete nonlinear Schrödinger equation in nonlinear optical waveguide arrays

Ma Li-Yuan¹, Ji Jia-Liang², Xu Zong-Wei³, Zhu Zuo-Nong^{3, †}

(color online) (a) Stationary solitary wave in physical space with parameters ω_s = 1, α = 0.5, β = −0.5,h = 0.25. (b) Spectrum of the linearization operator L_n for the stationary solitary wave (a) contains a pair of real eigenvalues and three pairs of internal modes.