Comments on the negative grade KdV hierarchy
Exactly Solvable and Integrable Systems
2023-12-25 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The construction of negative grade KdV hierarchy is proposed in terms of a Miura-gauge transformation. Such gauge transformation is employed within the zero curvature representation and maps the Lax operator of the mKdV into its couterpart within the KdV setting. Each odd negative KdV flow is obtained from an odd and its subsequent even negative mKdV flows. The negative KdV flows are shown to inherit the two different vacua structure that characterizes the associated mKdV flows.
Keywords
Cite
@article{arxiv.2312.14349,
title = {Comments on the negative grade KdV hierarchy},
author = {Y. F. Adans and Jose F. Gomes and G. V. Lobo and A. H. Zimerman},
journal= {arXiv preprint arXiv:2312.14349},
year = {2023}
}
Comments
8 pages, 34th International Colloquium on Group Theoretical Methods in Physics