Some comments on continuous symmetries of AKNS hierarchy equations and their solutions
Mathematical Physics
2015-09-29 v2 math.MP
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
We show that a well known for NLS equation scaling invariance and Galilean invariance property of its solutions can be extended with appropriate modifications to the whole AKNS hierahchy and its reduced and deformed versions.
Cite
@article{arxiv.1509.01134,
title = {Some comments on continuous symmetries of AKNS hierarchy equations and their solutions},
author = {A. O. Smirnov and V. B. Matveev},
journal= {arXiv preprint arXiv:1509.01134},
year = {2015}
}
Comments
10 pages