Fu, Ang; Yang, Di The matrix-resolvent method to tau-functions for the nonlinear Schrödinger hierarchy. (English) Zbl 1492.35306 J. Geom. Phys. 179, Article ID 104592, 17 p. (2022). MSC: 35Q55 PDFBibTeX XMLCite \textit{A. Fu} and \textit{D. Yang}, J. Geom. Phys. 179, Article ID 104592, 17 p. (2022; Zbl 1492.35306) Full Text: DOI arXiv
Crooks, Peter Kostant-Toda lattices and the universal centralizer. (English) Zbl 1487.17054 J. Geom. Phys. 150, Article ID 103595, 16 p. (2020). MSC: 17B80 22E46 37K10 PDFBibTeX XMLCite \textit{P. Crooks}, J. Geom. Phys. 150, Article ID 103595, 16 p. (2020; Zbl 1487.17054) Full Text: DOI arXiv
Ikeda, Kaoru The resolutions of the singular loci of the Toda lattice on the split and connected reductive Lie groups. (English) Zbl 1441.37063 J. Geom. Phys. 148, Article ID 103558, 9 p. (2020). MSC: 37J37 17B80 22E46 PDFBibTeX XMLCite \textit{K. Ikeda}, J. Geom. Phys. 148, Article ID 103558, 9 p. (2020; Zbl 1441.37063) Full Text: DOI
Dehainsala, Djagwa Algebraic complete integrability of the \(\mathfrak{c}_2^{(1)}\) Toda lattice. (English) Zbl 1410.37056 J. Geom. Phys. 135, 80-97 (2019). MSC: 37J35 70G65 PDFBibTeX XMLCite \textit{D. Dehainsala}, J. Geom. Phys. 135, 80--97 (2019; Zbl 1410.37056) Full Text: DOI
Müller-Hoissen, F.; Chvartatskyi, O.; Toda, K. Generalized Volterra lattices: binary Darboux transformations and self-consistent sources. (English) Zbl 1362.37134 J. Geom. Phys. 113, 226-238 (2017). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K10 35C08 70H06 35A30 37J35 35Q51 PDFBibTeX XMLCite \textit{F. Müller-Hoissen} et al., J. Geom. Phys. 113, 226--238 (2017; Zbl 1362.37134) Full Text: DOI arXiv
Wei, Jiao; Geng, Xianguo; Zeng, Xin Quasi-periodic solutions to the hierarchy of four-component Toda lattices. (English) Zbl 1339.37061 J. Geom. Phys. 106, 26-41 (2016). MSC: 37K10 37K60 PDFBibTeX XMLCite \textit{J. Wei} et al., J. Geom. Phys. 106, 26--41 (2016; Zbl 1339.37061) Full Text: DOI
Charalambides, S. A.; Damianou, P. A.; Evripidou, C. A. On generalized Volterra systems. (English) Zbl 1306.37070 J. Geom. Phys. 87, 86-105 (2015). MSC: 37K10 37K05 PDFBibTeX XMLCite \textit{S. A. Charalambides} et al., J. Geom. Phys. 87, 86--105 (2015; Zbl 1306.37070) Full Text: DOI arXiv
Ben Abdeljelil, Khaoula The integrability of the 2-Toda lattice on a simple Lie algebra. (English) Zbl 1252.37054 J. Geom. Phys. 61, No. 10, 2015-2032 (2011). MSC: 37K10 37J35 PDFBibTeX XMLCite \textit{K. Ben Abdeljelil}, J. Geom. Phys. 61, No. 10, 2015--2032 (2011; Zbl 1252.37054) Full Text: DOI arXiv
Helminck, G. F.; Helminck, A. G.; Opimakh, A. V. Equivalent forms of multi component Toda hierarchies. (English) Zbl 1233.37037 J. Geom. Phys. 61, No. 4, 847-873 (2011). Reviewer: Victor Sharapov (Volgograd) MSC: 37K10 37K60 58B25 PDFBibTeX XMLCite \textit{G. F. Helminck} et al., J. Geom. Phys. 61, No. 4, 847--873 (2011; Zbl 1233.37037) Full Text: DOI
Doliwa, Adam The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction. (English) Zbl 1194.37100 J. Geom. Phys. 60, No. 5, 690-707 (2010). Reviewer: Rakib Efendiev (Baku) MSC: 37K10 37K20 37K25 37K35 37K60 39A10 PDFBibTeX XMLCite \textit{A. Doliwa}, J. Geom. Phys. 60, No. 5, 690--707 (2010; Zbl 1194.37100) Full Text: DOI arXiv
Doliwa, Adam The B-quadrilateral lattice, its transformations and the algebro-geometric construction. (English) Zbl 1114.37042 J. Geom. Phys. 57, No. 4, 1171-1192 (2007). MSC: 37K20 37K10 37K25 37K35 37K60 39A10 14H70 PDFBibTeX XMLCite \textit{A. Doliwa}, J. Geom. Phys. 57, No. 4, 1171--1192 (2007; Zbl 1114.37042) Full Text: DOI arXiv
Ikeda, Kaoru The Toda flows preserving small cells of the flag variety \(G/B\) and Kazhdan’s \(x_{0}\)-grading. (English) Zbl 1106.37046 J. Geom. Phys. 57, No. 3, 799-813 (2007). MSC: 37K60 37J35 14M99 PDFBibTeX XMLCite \textit{K. Ikeda}, J. Geom. Phys. 57, No. 3, 799--813 (2007; Zbl 1106.37046) Full Text: DOI
Nirov, Kh. S.; Razumov, A. V. \(W\)-algebras for non-abelian Toda systems. (English) Zbl 1086.17013 J. Geom. Phys. 48, No. 4, 505-545 (2003). MSC: 17B80 35Q58 37K30 37K60 PDFBibTeX XMLCite \textit{Kh. S. Nirov} and \textit{A. V. Razumov}, J. Geom. Phys. 48, No. 4, 505--545 (2003; Zbl 1086.17013) Full Text: DOI arXiv
Vaninsky, K. L. The Atiyah-Hitchin bracket and the open Toda lattice. (English) Zbl 1064.37048 J. Geom. Phys. 46, No. 3-4, 283-307 (2003). Reviewer: Emma Previato (Boston) MSC: 37J35 70G55 53D17 14H70 70H06 PDFBibTeX XMLCite \textit{K. L. Vaninsky}, J. Geom. Phys. 46, No. 3--4, 283--307 (2003; Zbl 1064.37048) Full Text: DOI arXiv
Aratyn, H.; Gomes, J. F.; Zimerman, A. H. Integrable hierarchy for multidimensional Toda equations and topological-anti-topological fusion. (English) Zbl 1085.37050 J. Geom. Phys. 46, No. 1, 21-47 (2003), erratum No. 2, 201 (2003). MSC: 37K10 37K60 17B80 37K15 37K30 PDFBibTeX XMLCite \textit{H. Aratyn} et al., J. Geom. Phys. 46, No. 1, 21--47 (2003; Zbl 1085.37050) Full Text: DOI arXiv
Damianou, Pantelis A. The negative Toda hierarchy and rational Poisson brackets. (English) Zbl 1010.37036 J. Geom. Phys. 45, No. 1-2, 184-202 (2003). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{P. A. Damianou}, J. Geom. Phys. 45, No. 1--2, 184--202 (2003; Zbl 1010.37036) Full Text: DOI
Meucci, Attilio Compatible Lie algebroids and the periodic Toda lattice. (English) Zbl 0990.37050 J. Geom. Phys. 35, No. 4, 273-287 (2000). Reviewer: Tomasz Brzeziński (Swansea) MSC: 37K10 53D17 22A22 34C10 PDFBibTeX XMLCite \textit{A. Meucci}, J. Geom. Phys. 35, No. 4, 273--287 (2000; Zbl 0990.37050) Full Text: DOI
Doliwa, Adam; Santíni, Paolo Maria The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice. (English) Zbl 0997.37052 J. Geom. Phys. 36, No. 1-2, 60-102 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 35Q58 37K40 39A10 52C07 PDFBibTeX XMLCite \textit{A. Doliwa} and \textit{P. M. Santíni}, J. Geom. Phys. 36, No. 1--2, 60--102 (2000; Zbl 0997.37052) Full Text: DOI arXiv
Shipman, Barbara A. The geometry of the full Kostant-Toda lattice of \(sl (4, \mathbb{C})\). (English) Zbl 0952.37012 J. Geom. Phys. 33, No. 3-4, 295-325 (2000). Reviewer: Samir Musayev (Baku) MSC: 37J15 17B80 70H05 PDFBibTeX XMLCite \textit{B. A. Shipman}, J. Geom. Phys. 33, No. 3--4, 295--325 (2000; Zbl 0952.37012) Full Text: DOI
Lesfari, A. Completely integrable systems: Jacobi’s heritage. (English) Zbl 0937.37046 J. Geom. Phys. 31, No. 4, 265-286 (1999). Reviewer: Samir Musayev (Baku) MSC: 37K10 37K30 37D40 PDFBibTeX XMLCite \textit{A. Lesfari}, J. Geom. Phys. 31, No. 4, 265--286 (1999; Zbl 0937.37046) Full Text: DOI
Ferapontov, E. V.; Schief, W. K. Surfaces of Demoulin: Differential geometry, Bäcklund transformation and integrability. (English) Zbl 0930.35164 J. Geom. Phys. 30, No. 4, 343-363 (1999). MSC: 35Q58 37K25 37K35 53A20 PDFBibTeX XMLCite \textit{E. V. Ferapontov} and \textit{W. K. Schief}, J. Geom. Phys. 30, No. 4, 343--363 (1999; Zbl 0930.35164) Full Text: DOI
Doliwa, Adam Quadratic reductions of quadrilateral lattices. (English) Zbl 0963.37061 J. Geom. Phys. 30, No. 2, 169-186 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 37K35 52C07 51B10 PDFBibTeX XMLCite \textit{A. Doliwa}, J. Geom. Phys. 30, No. 2, 169--186 (1999; Zbl 0963.37061) Full Text: DOI arXiv
Fehér, László; Tsutsui, Izumi Regularization of Toda lattices by Hamiltonian reduction. (English) Zbl 0865.58027 J. Geom. Phys. 21, No. 2, 97-135 (1997). MSC: 37J35 37K10 22E70 PDFBibTeX XMLCite \textit{L. Fehér} and \textit{I. Tsutsui}, J. Geom. Phys. 21, No. 2, 97--135 (1997; Zbl 0865.58027) Full Text: DOI arXiv
Antonov, Alexander; Belov, Alexander A.; Chaltikian, Karén Lattice conformal theories and their integrable perturbations. (English) Zbl 0872.17017 J. Geom. Phys. 22, No. 4, 298-318 (1997). MSC: 17B37 81T25 81R50 37J35 37K10 PDFBibTeX XMLCite \textit{A. Antonov} et al., J. Geom. Phys. 22, No. 4, 298--318 (1997; Zbl 0872.17017) Full Text: DOI arXiv
Bonora, L.; Constantinidis, C. P.; Xiong, C. S. Exact correlators of two-matrix models. (English) Zbl 0881.58078 J. Geom. Phys. 20, No. 2-3, 160-194 (1996). Reviewer: Th.M.Rassias (Athens) MSC: 58Z05 83C47 PDFBibTeX XMLCite \textit{L. Bonora} et al., J. Geom. Phys. 20, No. 2--3, 160--194 (1996; Zbl 0881.58078) Full Text: DOI arXiv
Nachtergaele, B.; Verbeure, A. Groups of canonical transformations and the virial-Noether theorem. (English) Zbl 0619.70016 J. Geom. Phys. 3, No. 3, 315-325 (1986). Reviewer: D.Djukić MSC: 70H15 22E70 70H30 PDFBibTeX XMLCite \textit{B. Nachtergaele} and \textit{A. Verbeure}, J. Geom. Phys. 3, No. 3, 315--325 (1986; Zbl 0619.70016) Full Text: DOI