We study a dimer system of a generalized discrete nonlinear Schrödinger equation that interpolates between the integrable Ablowitz-Ladic equation and the nonintegrable discrete nonlinear Schrödinger equation (DNLS). We find analytically and verify numerically the occurrence of selftrapping in the parameter space of the two nonlinearity coefficients. We also study the stationary solutions and discuss their stability properties.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Mathematical Physics
- Condensed Matter Physics