A comparative analysis of Painlevé, Lax Pair, and Similarity Transformation methods in obtaining the integrability conditions of nonlinear Schrödinger equations

U. Al Khawaja

We derive the integrability conditions of nonautonomous nonlinear Schr$\ddot{\mathrm{o}}$dinger equations using the Lax Pair and Similarity Transformation methods. We present a comparativ…