Abstract
Binary nonlinearization of AKNS spectral problem is extended to the cases of higher-order symmetry constraints. The Hamiltonian structures, Lax representations, r-matrices and integrals of motion in involution are explicitly proposed for the resulting constrained systems in the cases of the first four orders. The obtained integrals of motion are proved to be functionally independent and thus the constrained systems are completely integrable in the Liouville sense.
| Original language | English |
|---|---|
| Pages (from-to) | 697-710 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 11 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Apr 2000 |
| 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
One of the authors (Y.S. Li) is grateful to City University of Hong Kong for kind invitation and warm hospitality. This work is supported by the City University of Hong Kong, the Research Grants Council of Hong Kong, the National Basic Research Project of Nonlinear Science, and the Ministry of Education of China.
RGC Funding Information
- RGC-funded
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