Painleve Integrability of Nonlinear SchrSdinger Equations with both Space- and Time-Dependent Coefficients

摘要

We investigate the Painlevé integrability of nonautonomous nonlinear Schrdinger (NLS) equations withboth space-and time-dependent dispersion, nonlinearity, and external potentials.The Painlevé analysis is carried outwithout using the Kruskal's simplification, which results in more generalized form of inhomogeneous equations.Theobtained equations are shown to be reducible to the standard NLS equation by using a point transformation.We alsoconstruct the corresponding Lax pair and carry out its Kundu-type reduction to the standard Lax pair.Special casesof equations from choosing limited form of coefficients coincide with the equations from the previous Painlevé analysesand/or become unknown new equations.