Abstract
The restricted coupled AKNS-Kaup-Newell flow and its Lax representation are presented. The corresponding Lax operator possesses an r-matrix formulation. Therefore, the complete integrability is established for the restricted coupled AKNS-Kaup-Newell flow. The resulting restricted flow contains the restricted AKNS flow and the restricted Kaup-Newell flow as two special reductions. © 2000 Elsevier Science Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 131-135 |
| Journal | Applied Mathematics Letters |
| Volume | 13 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 18 Jan 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 [email protected].Funding
This work was supported by City University of Hong Kong, RGC of Hong Kong, the Chinese National Basic Research Project 'Nonlinear Science', and the Doctoral programme Foundation of Institution of High Education, China. One of the authors (R. G. Zhou) would like to express his appreciation for the hospitality during his visit at City University of Hong Kong.
Research Keywords
- Coupled akns-kaup-newell spectral problem
- Nonlinearization of lax pair
- R-matrix
- Soliton equation
RGC Funding Information
- RGC-funded
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