The nonlinear Schrödinger equations with small dissipative perturbations are of current importance in modeling weakly nonlinear dispersive media with dissipation. In this paper, the Painlevé formulation with symbolic computation is presented for one of those equations. An auto-Bäcklund transformation and some exact solutions are explicitly constructed
Keywords : Nonlinear Schrödinger equation with dissipative perturbations; Symbolic computation; Painlevé analysis; Bäcklund transformation. Mathematical methods in physics
Received: 1995-7-22
Published Online: 2014-6-2
Published in Print: 1996-3-1
© 1946 – 2014: Verlag der Zeitschrift für Naturforschung
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.