Variational Bihamiltonian Cohomologies and Integrable Hierarchies III: Linear Reciprocal Transformations

Autor:	Liu, Si-Qi, Wang, Zhe, Zhang, Youjin
Rok vydání:	2023
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.10851 Zobrazit plný text záznamu View this record from Arxiv