New set of symmetries of the integrable equations, Lie algebra and non-isospectral evolution equations. II. AKNS system
- 21 December 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (18) , 3713-3725
- https://doi.org/10.1088/0305-4470/19/18/019
Abstract
The authors define directly a new set of symmetries for the AKNS system and prove that they constitute an infinite-dimensional Lie algebra with the 'old' symmetries. They also point out the relation between the new symmetry and the non-isospectral problem. They use the reduction technique and point out that the NLS, MKdV, SG and sinh-G hierarchies have two sets of symmetries which constitute an infinite-dimensional Lie algebra. These results are extensions of those of Chen et al. (1982).Keywords
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