On classification of intrinsic localized modes for the Discrete Nonlinear Schrödinger Equation

G. L. Alfimov, V. A. Brazhnyi, V. V. Konotop

We consider localized modes (discrete breathers) of the discrete nonlinear Schrödinger equation $i\frac{d{\psi }_n}{dt}={\psi }_{n+1}+{\psi }_{n-1}-2{\psi }_n+\sigma |{\psi }_n{|}^2{\psi }_n$, $\sigma =\pm 1$, $n\in \mathbb{Z}$. We…