Blower, Gordon; Malham, Simon J. A. The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg-de Vries hierarchy. (English) Zbl 07767797 Physica D 456, Article ID 133913, 31 p. (2023). MSC: 37K10 37K30 PDFBibTeX XMLCite \textit{G. Blower} and \textit{S. J. A. Malham}, Physica D 456, Article ID 133913, 31 p. (2023; Zbl 07767797) Full Text: DOI arXiv
Dubrovin, Boris; Yang, Di; Zagier, Don Geometry and arithmetic of integrable hierarchies of KdV type. I: Integrality. (English) Zbl 1524.14075 Adv. Math. 433, Article ID 109311, 73 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 14H10 37K10 37K20 53D45 53D50 PDFBibTeX XMLCite \textit{B. Dubrovin} et al., Adv. Math. 433, Article ID 109311, 73 p. (2023; Zbl 1524.14075) Full Text: DOI arXiv
Liu, Si-Qi; Wu, Chao-Zhong; Zhang, Youjin Virasoro constraints for Drinfeld-Sokolov hierarchies and equations of Painlevé type. (English) Zbl 1526.37080 J. Lond. Math. Soc., II. Ser. 106, No. 2, 1443-1500 (2022). MSC: 37K10 37J65 37K30 17B80 17B67 34M55 PDFBibTeX XMLCite \textit{S.-Q. Liu} et al., J. Lond. Math. Soc., II. Ser. 106, No. 2, 1443--1500 (2022; Zbl 1526.37080) Full Text: DOI arXiv
Bertola, M.; Del Monte, Fabrizio; Harnad, J. Fredholm Pfaffian \(\tau \)-functions for orthogonal isospectral and isomonodromic systems. (English) Zbl 1511.37082 Ann. Henri Poincaré 23, No. 12, 4521-4554 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K20 37K10 37K30 34M56 34M50 PDFBibTeX XMLCite \textit{M. Bertola} et al., Ann. Henri Poincaré 23, No. 12, 4521--4554 (2022; Zbl 1511.37082) Full Text: DOI arXiv
Dubrovin, Boris; Valeri, Daniele; Yang, Di Affine Kac-Moody algebras and tau-functions for the Drinfeld-Sokolov hierarchies: the matrix-resolvent method. (English) Zbl 1508.37088 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 077, 32 p. (2022). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K10 37K30 35Q51 17B80 17B67 PDFBibTeX XMLCite \textit{B. Dubrovin} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 077, 32 p. (2022; Zbl 1508.37088) Full Text: DOI arXiv
Bertola, Marco; Dubrovin, Boris; Yang, Di Simple Lie algebras, Drinfeld-Sokolov hierarchies, and multi-point correlation functions. (English) Zbl 1482.37066 Mosc. Math. J. 21, No. 2, 233-270 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K25 37K20 37K30 17B80 14N35 PDFBibTeX XMLCite \textit{M. Bertola} et al., Mosc. Math. J. 21, No. 2, 233--270 (2021; Zbl 1482.37066) Full Text: arXiv Link
Alexandrov, Alexander; Milanov, Todor Matrix model for the total descendant potential of a simple singularity of type \(D\). (English) Zbl 1481.37081 Lett. Math. Phys. 111, No. 4, Paper No. 88, 48 p. (2021). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K20 37K10 14N10 14J10 14J15 81T32 PDFBibTeX XMLCite \textit{A. Alexandrov} and \textit{T. Milanov}, Lett. Math. Phys. 111, No. 4, Paper No. 88, 48 p. (2021; Zbl 1481.37081) Full Text: DOI arXiv
He, Weiqiang; Ke, Hua-Zhong; Wu, Chao-Zhong On the Drinfeld-Sokolov hierarchy of type \(E_6^{(1)}\) and its topological solution. (English) Zbl 1473.37080 Sci. China, Math. 64, No. 6, 1245-1262 (2021). MSC: 37K10 37K25 37K30 17B80 PDFBibTeX XMLCite \textit{W. He} et al., Sci. China, Math. 64, No. 6, 1245--1262 (2021; Zbl 1473.37080) Full Text: DOI
Luu, Martin T. Rigidity of Kac-Schwarz operators. (English) Zbl 1436.81098 Lett. Math. Phys. 110, No. 5, 911-924 (2020). MSC: 81T20 81T40 83C45 81V17 81R10 37K10 17B67 PDFBibTeX XMLCite \textit{M. T. Luu}, Lett. Math. Phys. 110, No. 5, 911--924 (2020; Zbl 1436.81098) Full Text: DOI arXiv
Liu, Si-Qi; Wu, Chao-Zhong; Zhang, Youjin; Zhou, Xu Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras. (English) Zbl 1443.37051 Commun. Math. Phys. 375, No. 1, 785-832 (2020). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 37K30 37K10 17B67 81R10 PDFBibTeX XMLCite \textit{S.-Q. Liu} et al., Commun. Math. Phys. 375, No. 1, 785--832 (2020; Zbl 1443.37051) Full Text: DOI arXiv
Cafasso, M.; Gavrylenko, P.; Lisovyy, O. Tau functions as Widom constants. (English) Zbl 1417.37245 Commun. Math. Phys. 365, No. 2, 741-772 (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K20 37K10 37K30 34M56 35Q15 37B05 PDFBibTeX XMLCite \textit{M. Cafasso} et al., Commun. Math. Phys. 365, No. 2, 741--772 (2019; Zbl 1417.37245) Full Text: DOI arXiv
Cafasso, Mattia; du Crest de Villeneuve, Ann; Yang, Di Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials. (English) Zbl 1408.37124 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 104, 17 p. (2018). MSC: 37K30 37K10 17B80 PDFBibTeX XMLCite \textit{M. Cafasso} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 104, 17 p. (2018; Zbl 1408.37124) Full Text: DOI arXiv