Ghost Symmetries and Multi-fold Darboux Transformations of Extended Toda Hierarchy

• 作者: Chuanzhong LI
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 697-716
• 页数: 20页
• 语种: 英文
• DOI: 10.1007/s11401-020-0228-3

摘要

In this paper,the author constructs ghost symmetries of the extended Toda hierarchy with their spectral representations.After this,two kinds of Darboux transformations in different directions and their mixed Darboux transformations of this hierarchy are constructed.These symmetries and Darboux transformations might be useful in Gromov-Witten theory of CP1.