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| Ghost Symmetries and Multi-fold Darboux Transformations of Extended Toda Hierarchy |
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Citation： |
Chuanzhong LI.Ghost Symmetries and Multi-fold Darboux Transformations of Extended Toda Hierarchy[J].Chinese Annals of Mathematics B,2020,41(5):697~716 |
| Page view： 546
Net amount： 480 |
Authors： |
Chuanzhong LI; |
Foundation： |
This work was supported by the National Natural Science Foundation of China (No. 11571192) and K. C. Wong Magna Fund in Ningbo University. |
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| Abstract： |
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 GromovWitten theory of CP1. |
Keywords： |
Extended Toda hierarchy, Ghost symmetry, Spectral representations,Hirota quadratic equation, Darboux transformation |
Classification： |
37K05, 37K10, 37K20 |
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