Group classification of nonlinear Schr\"odinger equations
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
The authors suggest a new powerful tool for solving group classification problems, that is applied to obtaining the complete group classification in the class of nonlinear Schr\"odinger equations of the form .
Cite
@article{arxiv.math-ph/0301009,
title = {Group classification of nonlinear Schr\"odinger equations},
author = {Anatoly G. Nikitin and Roman O. Popovych},
journal= {arXiv preprint arXiv:math-ph/0301009},
year = {2007}
}
Comments
11 pages, LaTeX2e