Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Iintegrable discrete systems - theory and applications

2015/19/B/ST2/03575

Keywords:

integrable systems nonlinear waves geometry quantum solvable models Hopf algebras

Descriptors:

  • ST2_14: Non-linear phenomena
  • ST1_12: Mathematical methods of physics
  • ST2_15: Metrology and measurement methods

Panel:

ST2 - Fundamental constituents of matter: particle, nuclear, plasma, atomic, molecular, gas and optical physics

Host institution :

Uniwersytet Warmińsko-Mazurski w Olsztynie, Wydział Matematyki i Informatyki

woj. warmińsko-mazurskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Adam Doliwa 

Number of co-investigators in the project: 1

Call: OPUS 10 - announced on 2015-09-15

Amount awarded: 147 600 PLN

Project start date (Y-m-d): 2016-06-14

Project end date (Y-m-d): 2020-06-13

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

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 (5)
  • Book publications / chapters in book publications (1)
  1. Non-commutative double-sided continued fractions
    Authors:
    Adam Doliwa
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2020, tom: 53, strony: 364001 (23 pp.)), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/aba29c - link to the publication
  2. Non-commutative bi-rational maps satisfying Zamolodchikov equation, and Desargues lattices
    Authors:
    Adam Doliwa, Rinat M. Kashaev
    Academic press:
    Journal of Mathematical Physics (rok: 2020, tom: 61, strony: 092704 (23pp.)), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0016474 - link to the publication
  3. Discrete Darboux system with self-consistent sources and its symmetric reduction
    Authors:
    Adam Doliwa, Runliang Lin, Zhe Wang
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2021, tom: 54, strony: 054001 (22 pp.)), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/abd814 - link to the publication
  4. The Coxeter relations and KP map for non-commuting symbols
    Authors:
    Adam Doliwa, Masatoshi Noumi
    Academic press:
    Letters in Mathematical Physics (rok: 2020, tom: 110, strony: 2743–2762), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11005-020-01317-6 - link to the publication
  5. Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables
    Authors:
    Adam Doliwa
    Academic press:
    Journal of Combinatorial Theory A , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Quadrangular sets in projective line and in Moebius space, and geometric interpretation of the non-commutative discrete Schwarzian Kadomtsev-Petviashvili equation
    Authors:
    Adam Doliwa, Jarosław Kosiorek
    Book:
    Asymptotic, Algebraic and Geometric Aspects of Integrable Systems, F. Nijhoff, Y. Shi, D. Zhang (eds). Springer Proceedings in Mathematics & Statistics (rok: 2020, tom: vol. 338, strony: 45306), Wydawca: Springer Nature Switzerland AG 2020
    Status:
    Published

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