Variational Bihamiltonian Cohomologies and Integrable Hierarchies III: Linear Reciprocal Transformations
Exactly Solvable and Integrable Systems
2023-05-31 v2 Mathematical Physics
math.MP
Abstract
For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal transformation with respect to any of its symmetry transforms it to another bihamiltonian integrable hierarchy. Moreover, we show that the central invariants of the bihamiltonian structure are preserved under such a linear reciprocal transformation.
Keywords
Cite
@article{arxiv.2305.10851,
title = {Variational Bihamiltonian Cohomologies and Integrable Hierarchies III: Linear Reciprocal Transformations},
author = {Si-Qi Liu and Zhe Wang and Youjin Zhang},
journal= {arXiv preprint arXiv:2305.10851},
year = {2023}
}