Backlund Transformation for Integrable Hierarchies: example - mKdV Hierarchy
Exactly Solvable and Integrable Systems
2015-04-15 v2 Mathematical Physics
math.MP
Abstract
In this note we present explicitly the construction of the mKdV hierarchy and show that it decomposes into positive and negative graded sub-hierarchies. We extend the construction of the Backlund transformation for the sinh-Gordon model to all other positive and negative odd graded equations of motion generated by the same affine algebraic structure. Some simple examples of solutions are explicitly verified to satisfy, in a universal manner, the Backlund transformations for the first few odd (positive and negative) sub-hierarchies.
Keywords
Cite
@article{arxiv.1501.00865,
title = {Backlund Transformation for Integrable Hierarchies: example - mKdV Hierarchy},
author = {J. F. Gomes and A. L. Retore and N. I. Spano and A. H. Zimerman},
journal= {arXiv preprint arXiv:1501.00865},
year = {2015}
}
Comments
Proceedings of the 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent, Belgium