Abstract
Polynomial-in-time dependent symmetries are analysed for polynomial-in-time dependent evolution equations. Graded Lie algebras, especially Virasoro algebras, are used to construct nonlinear variable-coefficient evolution equations, both in 1 + 1 dimensions and in 2 + 1 dimensions, which possess higher-degree polynomial-in-time dependent symmetries. The theory also provides a kind of new realization of graded Lie algebras. Some illustrative examples are given.
| Original language | English |
|---|---|
| Pages (from-to) | 5141-5149 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 30 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 21 Jul 1997 |
| 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 <a href="mailto:[email protected]">[email protected]</a>.Funding
WXM would like very much to thank the Alexander von Humboldt Foundation for the financial support, which made his visit to UMIST possible. He is also grateful to Professor B Fuchssteiner for his kind and stimulating discussions.
Fingerprint
Dive into the research topics of 'Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver