Abstract
The Lie group method for construction of group-invariant solutions of partial differential equations is presented. The method is applied to a system of two coupled nonlinear Schrödinger equations. The so called reduced system of equations for translationally invariant solutions is obtained. Group-invariant solutions for the degenerate case of two decoupled Schrödinger equations are found.
Information
Published: 1 January 2012
First available in Project Euclid: 13 July 2015
zbMATH: 1382.35013
MathSciNet: MR3087976
Digital Object Identifier: 10.7546/giq-13-2012-258-264
Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
