Caudrelier, Vincent; Nijhoff, Frank; Sleigh, Duncan; Vermeeren, Mats Lagrangian multiforms on Lie groups and non-commuting flows. (English) Zbl 1519.70017 J. Geom. Phys. 187, Article ID 104807, 35 p. (2023). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 70G65 70H06 70G75 PDFBibTeX XMLCite \textit{V. Caudrelier} et al., J. Geom. Phys. 187, Article ID 104807, 35 p. (2023; Zbl 1519.70017) Full Text: DOI arXiv
Nijhoff, Frank W. Lagrangian 3-form structure for the Darboux system and the KP hierarchy. (English) Zbl 1510.35008 Lett. Math. Phys. 113, No. 1, Paper No. 27, 19 p. (2023). MSC: 35A15 37K06 37K15 49S05 53A40 70H30 PDFBibTeX XMLCite \textit{F. W. Nijhoff}, Lett. Math. Phys. 113, No. 1, Paper No. 27, 19 p. (2023; Zbl 1510.35008) Full Text: DOI arXiv
Sleigh, Duncan; Vermeeren, Mats Semi-discrete Lagrangian 2-forms and the Toda hierarchy. (English) Zbl 1512.37086 J. Phys. A, Math. Theor. 55, No. 47, Article ID 475204, 24 p. (2022). MSC: 37K60 37K58 37K10 37J35 37J70 39A36 35A15 70G75 70H30 PDFBibTeX XMLCite \textit{D. Sleigh} and \textit{M. Vermeeren}, J. Phys. A, Math. Theor. 55, No. 47, Article ID 475204, 24 p. (2022; Zbl 1512.37086) Full Text: DOI arXiv
Caudrelier, Vincent; Stoppato, Matteo Multiform description of the AKNS hierarchy and classical \(r\)-matrix. (English) Zbl 1519.70031 J. Phys. A, Math. Theor. 54, No. 23, Article ID 235204, 43 p. (2021). MSC: 70S05 37K10 81R12 35Q53 PDFBibTeX XMLCite \textit{V. Caudrelier} and \textit{M. Stoppato}, J. Phys. A, Math. Theor. 54, No. 23, Article ID 235204, 43 p. (2021; Zbl 1519.70031) Full Text: DOI arXiv
Petrera, Matteo; Vermeeren, Mats Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs. (English) Zbl 1475.37072 Eur. J. Math. 7, No. 2, 741-765 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K06 37K10 35B06 70G75 70H30 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{M. Vermeeren}, Eur. J. Math. 7, No. 2, 741--765 (2021; Zbl 1475.37072) Full Text: DOI arXiv
Caudrelier, Vincent; Stoppato, Matteo Hamiltonian multiform description of an integrable hierarchy. (English) Zbl 1458.37067 J. Math. Phys. 61, No. 12, 123506, 25 p. (2020). Reviewer: Matteo Casati (Kent) MSC: 37K06 37K10 37K58 53D42 PDFBibTeX XMLCite \textit{V. Caudrelier} and \textit{M. Stoppato}, J. Math. Phys. 61, No. 12, 123506, 25 p. (2020; Zbl 1458.37067) Full Text: DOI arXiv
King, S. D.; Nijhoff, F. W. Quantum variational principle and quantum multiform structure: the case of quadratic Lagrangians. (English) Zbl 1441.81100 Nucl. Phys., B 947, Article ID 114686, 39 p. (2019). Reviewer: Panagiotis Koumantos (Athens) MSC: 81Q30 46T12 70S05 81Q80 81S40 35Q53 37K10 37K60 PDFBibTeX XMLCite \textit{S. D. King} and \textit{F. W. Nijhoff}, Nucl. Phys., B 947, Article ID 114686, 39 p. (2019; Zbl 1441.81100) Full Text: DOI arXiv
Vermeeren, Mats A variational perspective on continuum limits of ABS and lattice GD equations. (English) Zbl 1432.37097 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 044, 35 p. (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K58 37K60 37K06 39A36 PDFBibTeX XMLCite \textit{M. Vermeeren}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 044, 35 p. (2019; Zbl 1432.37097) Full Text: DOI arXiv
Kels, Andrew P. Extended Z-invariance for integrable vector and face models and multi-component integrable quad equations. (English) Zbl 1428.82012 J. Stat. Phys. 176, No. 6, 1375-1408 (2019). MSC: 82B20 16T25 35Q82 PDFBibTeX XMLCite \textit{A. P. Kels}, J. Stat. Phys. 176, No. 6, 1375--1408 (2019; Zbl 1428.82012) Full Text: DOI arXiv
Suris, Yuri B. Discrete time Toda systems. (English) Zbl 1402.37070 J. Phys. A, Math. Theor. 51, No. 33, Article ID 333001, 64 p. (2018). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J35 37K10 37K35 39A12 37J05 65P10 70H30 37M15 PDFBibTeX XMLCite \textit{Y. B. Suris}, J. Phys. A, Math. Theor. 51, No. 33, Article ID 333001, 64 p. (2018; Zbl 1402.37070) Full Text: DOI arXiv
Lobb, Sarah B.; Nijhoff, Frank W. A variational principle for discrete integrable systems. (English) Zbl 1402.35250 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 041, 18 p. (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37K60 39A14 49N99 35A15 37K10 PDFBibTeX XMLCite \textit{S. B. Lobb} and \textit{F. W. Nijhoff}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 041, 18 p. (2018; Zbl 1402.35250) Full Text: DOI arXiv
Petrera, Matteo; Suris, Yuri B. Variational symmetries and pluri-Lagrangian systems in classical mechanics. (English) Zbl 1421.70031 J. Nonlinear Math. Phys. 24, Suppl. 1, 121-145 (2017). MSC: 70H03 70H06 70H30 70H33 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{Y. B. Suris}, J. Nonlinear Math. Phys. 24, 121--145 (2017; Zbl 1421.70031) Full Text: DOI arXiv
Bobenko, A. I.; Suris, Yu. B. Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems. (English) Zbl 1348.37098 Commun. Math. Phys. 336, No. 1, 199-215 (2015). MSC: 37K05 37K20 39A12 31C05 31C20 32U05 58E30 PDFBibTeX XMLCite \textit{A. I. Bobenko} and \textit{Yu. B. Suris}, Commun. Math. Phys. 336, No. 1, 199--215 (2015; Zbl 1348.37098) Full Text: DOI arXiv