Painlevé analysis for a nonlinear Schrödinger equation in three dimensions
A Painlevé analysis is performed for the nonlinear Schrödinger equation in \((2+1)\) dimensions following the methodology of Weiss et al. simplified in the sense of Kruskal. At least for one branch it is found that the required number of arbitrary functions (as demanded by the Cauchy-Kovalevskaya theorem) exists, signalling complete integrability.
scientific article; zbMATH DE number 4084193