Dualities and Symmetries in Integrable Systems
Following the conference ISLAND 6, the organizers proposed a special issue on its main theme in Journal of Physics A: Mathematical and Theoretical. The aim was to allow participants to submit original works on topics related to the conference, while accepting submissions from researchers who did not take part in this meeting as long as their contributions fall within the scope of the conference.
For more information, please consult the dedicated website (iopscience.iop.org/collections/jpa-230719-296).
Guest editors
Maxime Fairon, Université Paris-Saclay, France
Nalini Joshi, University of Sydney, Australia
Alexander Veselov, Loughborough University, UK
Ralph Willox, The University of Tokyo, Japan
List of published papers
Adamopoulou, Kouloukas and Papamikos: Reductions and degenerate limits of Yang–Baxter maps with 3x3 Lax matrices. (2025) J. Phys. A: Math. Theor. 58 205202
Braden and Disney-Hogg: Dihedrally symmetric monopoles and affine Toda equations. (2024) J. Phys. A: Math. Theor. 57 495207
Dell'Atti and Kecker: Geometric approach for the identification of Hamiltonian systems of quasi-Painlevé type. (2025) J. Phys. A: Math. Theor. 58 095202
Doikou, Rybolowicz and Stefanelli: Quandles as pre-Lie skew braces, set-theoretic Hopf algebras & universal R-matrices. (2024) J. Phys. A: Math. Theor. 57 405203
Evripidou, Kassotakis and Tongas: On quadrirational pentagon maps. (2024) J. Phys. A: Math. Theor. 57 455203
Fairon: Integrable systems on multiplicative quiver varieties from cyclic quivers. (2025) J. Phys. A: Math. Theor. 58 045202
Fehér: Poisson-Lie analogues of spin Sutherland models revisited. (2024) J. Phys. A: Math. Theor. 57 205202
Feigin, Kaminski and Strachan: Legendre transforms for type $A_n$ and $B_n$ $\vee$-systems. (2024) J. Phys. A: Math. Theor. 57 475205
Fordy: Scaling symmetry reductions of coupled KdV systems. (2024) J. Phys. A: Math. Theor. 57 455205
Giglio, Landolfi, Martina and Zingarofalo: Integrability properties and multi-kink solutions of a generalised Fokker--Planck equation. (2025) J. Phys. A: Math. Theor. 58 165202
Hakobyan: Dunkl symplectic algebra in generalized Calogero models. (2025) J. Phys. A: Math. Theor. 58 065201
Hallnäs: Baxter Q-operator for the hyperbolic Calogero-Moser system. (2024) J. Phys. A: Math. Theor. 57 225203
Harrow and Hone: Casting more light in the shadows: dual Somos-5 sequences. (2025) J. Phys. A: Math. Theor. 58 015203
Hone: New cluster algebras from old: integrability beyond Zamolodchikov periodicity. (2024) J. Phys. A: Math. Theor. 57 415201
Hu, Dzhamay and Chen: On the recurrence coefficients for the $q$-Laguerre weight and discrete Painlevé equations. (2025) J. Phys. A: Math. Theor. 58 025211
Inoue, Kuniba and Terashima: Tetrahedron equation and quantum cluster algebras. (2024) J. Phys. A: Math. Theor. 57 085202
Konopelchenko and Schief: Canonical reductions of the TED equation: integrable deformations of heavenly-type equations. (2024) J. Phys. A: Math. Theor. 57 125005
Letzter, Sahi and Salmasian: Quantized Weyl algebras, the double centralizer property, and a new first fundamental theorem for $U_q(\mathfrak{gl}_n)$. (2024) J. Phys. A: Math. Theor. 57 195304
McWhinnie, Rooke and Vrabec: Baker-Akhiezer function for the deformed root system $BC(l, 1)$ and bispectrality. (2024) J. Phys. A: Math. Theor. 57 475204
Perletti and Strachan: Regular F-manifolds with eventual identities. (2024) J. Phys. A: Math. Theor. 57 475201
Ramani, Grammaticos, Carstea and Willox: Obtaining the growth of higher order mapping through the study of singularities. (2025) J. Phys. A: Math. Theor. 58 115201