Higher order effects on constant intensity waves of nonlinear Schrödinger equation with [formula omitted] symmetric potential

Abstract

Constant intensity solutions of nonlinear Schrödinger equation that includes terms accounting for third order dispersion, self steepening, self frequency shift and PT symmetric potential are obtained. The complex potential is constructed as a solution to an inverse problem which predicts the potential supporting the desired solution. These constant intensity waves are then used to perform a modulational instability analysis both in anomalous and normal dispersion regime. The linear stability results are supplemented with direct numerical simulations. The role of third order dispersion, self steepening and self frequency shift on modulational instability of the constant intensity states has been investigated. Effect of variation of amplitude of constant intensity solutions on modulational instability is studied too.