On the integrability of the extended nonlinear Schrodinger equation and the coupled extended nonlinear Schrodinger equations

摘要

We consider the extended nonlinear Schrodinger (ENLS) equation which governs the propagation of nonlinear optical fields in a fibre with higher-order effects such as higher-order dispersion and self-steepening. We show that the ENLS equation does not pass the Painleve test. Similarly, we claim that the coupled ENLS equations and N-coupled ENLS equations which govern the simultaneous propagation of two and more nonlinear fields in optical fibres are also not integrable from the Painleve analysis point of view. [References: 9]