Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.23665 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913128368832512 |
|---|---|
| author | Adans, Y. F. Aratyn, H. Constantinidis, C. P. Gomes, J. F. Lobo, G. V. Santiago, T. C. |
| author_facet | Adans, Y. F. Aratyn, H. Constantinidis, C. P. Gomes, J. F. Lobo, G. V. Santiago, T. C. |
| contents | Positive and negative flows of the Chen-Lee-Liu model and its various reductions, including Burgers hierarchy, are formulated within the framework of Riemann-Hilbert-Birkhoff decomposition with the constant grade two generator. Two classes of vacua, namely zero vacuum and constant non-zero vacuum can be realized within a centerless Heisenberg algebra. The tau functions for soliton solutions are obtained by a dressing method and vertex operators are constructed for both types of vacua. We are able to select and classify the soliton solutions in terms of the type of vertices involved. A judicious choice of vertices yields in a closed form a particular set of multi soliton solutions for the Burgers hierarchy. We develop and analyze a class of gauge-Bäcklund transformations that generate further multi soliton solutions from those obtained by dressing method by letting them interact with various integrable defects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23665 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New soliton solutions for Chen-Lee-Liu and Burgers hierarchies and its Bäcklund transformations Adans, Y. F. Aratyn, H. Constantinidis, C. P. Gomes, J. F. Lobo, G. V. Santiago, T. C. Exactly Solvable and Integrable Systems High Energy Physics - Theory Mathematical Physics 37K10, 17B80, 17B69, 35C08 Positive and negative flows of the Chen-Lee-Liu model and its various reductions, including Burgers hierarchy, are formulated within the framework of Riemann-Hilbert-Birkhoff decomposition with the constant grade two generator. Two classes of vacua, namely zero vacuum and constant non-zero vacuum can be realized within a centerless Heisenberg algebra. The tau functions for soliton solutions are obtained by a dressing method and vertex operators are constructed for both types of vacua. We are able to select and classify the soliton solutions in terms of the type of vertices involved. A judicious choice of vertices yields in a closed form a particular set of multi soliton solutions for the Burgers hierarchy. We develop and analyze a class of gauge-Bäcklund transformations that generate further multi soliton solutions from those obtained by dressing method by letting them interact with various integrable defects. |
| title | New soliton solutions for Chen-Lee-Liu and Burgers hierarchies and its Bäcklund transformations |
| topic | Exactly Solvable and Integrable Systems High Energy Physics - Theory Mathematical Physics 37K10, 17B80, 17B69, 35C08 |
| url | https://arxiv.org/abs/2603.23665 |