Reduction groups and related integrable difference systems of nonlinear Schrödinger type
- Submitting institution
-
Liverpool Hope University
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- PX23C
- Type
- D - Journal article
- DOI
-
10.1063/1.4928048
- Title of journal
- Journal of Mathematical Physics
- Article number
- -
- First page
- 082701
- Volume
- 56
- Issue
- 8
- ISSN
- 1089-7658
- Open access status
- Compliant
- Month of publication
- -
- Year of publication
- 2015
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- 10 - Mathematical Sciences
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
2
- Research group(s)
-
M - Mathematical Sciences Research (MSR)
- Citation count
- 10
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- This paper motivated the development of the field of integrable systems in several directions. In particular, the results were employed by various authors in the (i) classification of the solutions of the Yang-Baxter equations; (ii) construction of new solutions to the entwining Yang-Baxter equation; (iii) extension of the theory to the noncommutative case, development of corresponding methods for construction of noncommutative discrete integrable systems and solutions of the Grassmann extend Yang-Baxter equation; (iv) derivation of solutions to the tetrahedron equation. The results also motivated the development of material for grant proposals (LMS Research in Pairs) and new collaborations.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -