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-Nong3, †
       

(color online) (a) Stationary solitary wave in physical space with parameters ωs = 1, α = −0.5, β = 1, h = 0.25. (b) Spectrum of linearization operator Ln for the stationary solitary wave (a) contains two pairs of real eigenvalues. Green continuous spectrum, black discrete spectrum. (c) A pair of nonzero real discrete eigenvalues near the zero: λ3 = −0.0097 and λ4 = 0.0097.