Abstract
An algebraic structure related to discrete zero curvature equations is established. It is used to give an approach for generating master symmetries of the first degree for systems of discrete evolution equations and an answer to why there exist such master symmetries. The key of the theory is to generate nonisospectral flows (λt = λl, l≥0) from the discrete spectral problem associated with a given system of discrete evolution equations. Three examples are given. © 1999 American Institute of Physics.
| Original language | English |
|---|---|
| Pages (from-to) | 2400-2418 |
| Journal | Journal of Mathematical Physics |
| Volume | 40 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - May 1999 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Funding
The authors are indebted to the referee for invaluable comments. One of the authors W. X. Ma would like to thank the Alexander von Humboldt Foundation of Germany, the City University of Hong Kong, and the Research Grants Council of Hong Kong for Financial support. He is also grateful to J. Leon, W. Oevel, and W. Strampp for their helpful and stimulating discussions, and to R. K. Bullough and P. J. Caudrey for their warm hospitality during his visit at UMIST, UK.
RGC Funding Information
- RGC-funded
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