Group theoretical solutions of Schrodinger equation generated by three-dimensional symmetry algebras
2007, Vol. 3, No. 3, pp. 349-362
Author(s): Izmaylova K. K., Chupakhin A. P.
Nonlinear Schrodinger equation (NSE) has many applications in mathematical physics (nonlinear optics, wave
theory and so on). Gagnon and Winternitz have constructed symmetry algebra $L_{12}$ and optimal system of subalgebras
for NSE (1989). It’s an extension of Galilei algebra $L_{11}$ admitted gas dynamics equations. Its three-dimensional symmetry
subalgebras generate 27 different submodels. List of all solutions corresponding to these algebras has been received in this
paper. Most of this solutions have not investigate previously.
Download File PDF, 180.57 Kb |

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License