Yang-Baxter maps and their role in discrete nonlinear integrable systems theory.
2022/45/P/ST1/03998
Keywords
Descriptors
- ST1_012: Metody matematyczne fizyki
- ST2_014: Zjawiska nieliniowe
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Uniwersytet Warszawski, Wydział Fizyki
Voivodeship: mazowieckie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
POLONEZ BIS 2 – announced on 2022-03-28
- Amount awarded
- 670 355 PLN
- Project start date
- 2023-03-01
- Project end date
- 2025-02-28
- Project duration
- 24 months (the same as in the proposal)
- Project status
- Project completed
Project description
Download the project description in a pdf file
Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.
Information in the final report
Publication in academic press/journals (7)
-
On refactorization problems and rational Lax matrices of quadrirational Yang–Baxter maps
- Authors:
- Pavlos Kassotakis , Theodoros Kouloukas, Maciej Nieszporski
- Academic press:
- Partial Differential Equations in Applied Mathematics (year: 2025, volume: 13, pages: 101094), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.padiff.2025.101094 – link to the publication
-
Matrix factorizations and pentagon maps
- Authors:
- Pavlos Kassotakis
- Academic press:
- Proceedings of the Royal Society A (year: 2023, volume: 479, pages: 20230276), Publisher: Royal Society
- Status:
- Published
- DOI:
- 10.1098/rspa.2023.0276 – link to the publication
-
Discrete integrable principal chiral field model and its involutive reduction.
- Authors:
- Jan L. Cieśliński, Alexander V. Mikhailov, Maciej Nieszporski, Frank W. Nijhoff
- Academic press:
- Studies in Applied Mathematics (year: 2025, volume: 155, pages: e70084), Publisher: Wiley
- Status:
- Published
- DOI:
- 10.1111/sapm.70084 – link to the publication
-
Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions
- Authors:
- Pavlos Kassotakis , Theodoros Kouloukas, Maciej Nieszporski
- Academic press:
- Nuclear Physics B (year: 2025, volume: 1012, pages: 116824), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.nuclphysb.2025.116824 – link to the publication
-
Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps
- Authors:
- Pavlos Kassotakis
- Academic press:
- Nonlinearity (year: 2023, volume: 36, pages: 2514), Publisher: IOP Publishing Ltd & London Mathematical Society
- Status:
- Published
- DOI:
- 10.1088/1361-6544/acc305 – link to the publication
-
On quadrirational pentagon maps
- Authors:
- Charalampos Evripidou, Pavlos Kassotakis and Anastasios Tongas
- Academic press:
- Journal of Physics A: Mathematical and Theoretical (year: 2024, volume: 57, pages: 455203), Publisher: IOP
- Status:
- Published
- DOI:
- 10.1088/1751-8121/ad85b1 – link to the publication
-
Entwining tetrahedron maps
- Authors:
- Pavlos Kassotakis
- Academic press:
- Partial Differential Equations in Applied Mathematics (year: 2024, volume: 12, pages: 100949), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.padiff.2024.100949 – link to the publication
This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 665778.