Abstract
It is shown how to construct an infinite number of families of quasi-bi-Hamiltonian (QBH) systems by means of the constrained flows of soliton equations. Three explicit QBH structures are presented for the first three families of the constrained flows. The Nijenhuis coordinates defined by the Nijenhuis tensor for the corre" sponding families of QBH systems are proved to be exactly the same as the sepa" rated variables introduced by mean of the Lax matrices for the constrained flows. © 1999 American Institute of Physics.
| Original language | English |
|---|---|
| Pages (from-to) | 4452-4473 |
| Journal | Journal of Mathematical Physics |
| Volume | 40 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Sept 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 <a href="mailto:[email protected]">[email protected]</a>.Funding
This work was supported by the Chinese Basic Research Project "Nonlinear Science,'' the City University of Hong Kong and the Research Grants Council of Hong Kong.
RGC Funding Information
- RGC-funded
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