A Lax Formulation of a Generalized q-Garnier System
Author:
Funder
japan society for the promotion of science
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Mathematical Physics
Link
https://link.springer.com/content/pdf/10.1007/s11040-021-09412-3.pdf
Reference15 articles.
1. Garnier, R.: Sur des équations différentielles du troisiéme ordre dont l’intégrale est uniform et sur une classe d’équations nouvelles d’ordre supérieur dont l’intégrale générale a ses point critiques fixés. Ann. Sci. École Norm. Sup. 29, 1–126 (1912)
2. Inoue, R., Ishibashi, T., Oya, H.: Cluster realizations of Weyl groups and higher Teichmüller theory. arXiv:1902.02716
3. Kajiwara, K., Noumi, M., Yamada, Y.: Discrete dynamical systems with $$W(A^{(1)}_{m-1}\times A^{(1)}_{n-1})$$ symmetry. Lett. Math. Phys. 60, 211–219 (2002)
4. Kajiwara, K., Noumi, M., Yamada, Y.: $$q$$-Painlevé systems arising from $$q$$-KP hierarchy. Lett. Math. Phys. 62, 259–268 (2003)
5. Kimura, H.: Symmetries of the Garnier system and of the associated polynomial Hamiltonian system. Proc. Japan Acad. Ser. A Math. Sci. 66, 176–178 (1990)
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1. On additional symmetry and bilinearization of the q-Painlevé systems associated with the affine Weyl group of type A;Letters in Mathematical Physics;2023-12-31
2. A $3 \times 3$ Lax Form for the $q$-Painlevé Equation of Type $E_6$;Symmetry, Integrability and Geometry: Methods and Applications;2023-11-18
3. An affine Weyl group action on the basic hypergeometric series arising from the q-Garnier system;Letters in Mathematical Physics;2022-11-24
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