The inversion symmetry of the WDVV equations and tau functions

PHYSICA D-NONLINEAR PHENOMENA

卷:241

Article

Liu, Si-Qi¹  Xu, Dingdian¹  Zhang, Youjin¹ 

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

关键词: WDVV equations;    Inversion symmetry;    Reciprocal transformation;    Tau function;    Legendre-type transformation;   

DOI  :  10.1016/j.physd.2012.02.018

来源: Elsevier

【 摘 要 】

For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related by a Legendre-type transformation. We also consider relationships between the Virasoro constraints and the topological deformations of the principal hierarchies. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free