Morales-Ruiz, Juan J. Integrable systems and differential Galois theory. (English) Zbl 1418.37096 Bolsinov, Alexey et al., Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. Adv. Courses in Math., CRM Barcelona, 1-33 (2016). MSC: 37J35 37J30 34M50 12H05 34M15 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz}, in: Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. 1--33 (2016; Zbl 1418.37096) Full Text: DOI
Lazrag, Lanouar Double tangent extension method and first integrals. (English) Zbl 1283.34002 J. Math. Phys. 53, No. 6, 062703, 20 p. (2012). Reviewer: Werner M. Seiler (Kassel) MSC: 34A05 37J35 12H05 PDFBibTeX XMLCite \textit{L. Lazrag}, J. Math. Phys. 53, No. 6, 062703, 20 p. (2012; Zbl 1283.34002) Full Text: DOI
Morikawa, Shuji; Saito, Katsunori; Takeuchi, Taihei; Umemura, Hiroshi Discrete Burgers’ equation, binomial coefficients and Mandala. (English) Zbl 1217.39010 Math. Comput. Sci. 4, No. 2-3, 151-167 (2010). MSC: 39A12 35Q53 03D05 39A10 12F10 37J35 65Q10 PDFBibTeX XMLCite \textit{S. Morikawa} et al., Math. Comput. Sci. 4, No. 2--3, 151--167 (2010; Zbl 1217.39010) Full Text: DOI
Morikawa, Shuji; Umemura, Hiroshi On a general difference Galois theory. II. (English) Zbl 1194.12006 Ann. Inst. Fourier 59, No. 7, 2733-2771 (2009). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 12H10 37F10 58H05 14H70 PDFBibTeX XMLCite \textit{S. Morikawa} and \textit{H. Umemura}, Ann. Inst. Fourier 59, No. 7, 2733--2771 (2009; Zbl 1194.12006) Full Text: DOI Numdam EuDML
Audin, Michèle Babbitt, Donald (ed.) Hamiltonian systems and their integrability. Transl. from the French by Anna Pierrehumbert. Translation edited by Donald Babbitt. (French) Zbl 1151.37047 SMF/AMS Texts and Monographs 15. Providence, RI: American Mathematical Society (AMS); Paris: Société Mathématique de France (SMF) (ISBN 978-0-8218-4413-7/pbk). xii, 149 p. (2008). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 37-02 53D17 70H06 37J05 12H05 14H70 PDFBibTeX XMLCite \textit{M. Audin} and \textit{D. Babbitt} (ed.), Hamiltonian systems and their integrability. Transl. from the French by Anna Pierrehumbert. Translation edited by Donald Babbitt. Providence, RI: American Mathematical Society (AMS); Paris: Société Mathématique de France (SMF) (2008; Zbl 1151.37047)
Crespo, Teresa; Hajto, Zbigniew [Morales-Ruiz, Juan J.] Introduction to differential Galois theory. With an appendix by Juan J. Morales-Ruiz. (English) Zbl 1172.12002 Krakow: Politechnika Krakowska im. Tadeusza Kościuszki (ISBN 978-83-7242-453-2/pbk). 94 p. (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12-02 12H05 34M15 37J35 PDFBibTeX XMLCite \textit{T. Crespo} and \textit{Z. Hajto}, Introduction to differential Galois theory. With an appendix by Juan J. Morales-Ruiz. Krakow: Politechnika Krakowska im. Tadeusza Kościuszki (2007; Zbl 1172.12002)
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. (English) Zbl 1144.37023 Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845-884 (2007). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 37J35 12H05 37F10 34M35 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} et al., Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845--884 (2007; Zbl 1144.37023) Full Text: DOI Numdam EuDML
Maciejewski, Andrzej J.; Przybylska, Maria Integrability of homogeneous systems. Results and problems. (English) Zbl 1183.37102 Calmet, J. (ed.) et al., Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Karlsruhe: Universitätsverlag Karlsruhe (ISBN 3-86644-035-9/pbk). 267-288 (2006). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 37J35 12H05 70H05 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, in: Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1--3, 2006. Karlsruhe: Universitätsverlag Karlsruhe. 267--288 (2006; Zbl 1183.37102) Full Text: Link
Audin, Michèle Hamiltonian systems and their integrability. (Les systèmes hamiltoniens et leur intégrabilité.) (French) Zbl 1144.37001 Cours Spécialisés (Paris) 8. Paris: Société Mathématique de France (ISBN 2-86883-522-8). viii, 170 p. (2001). MSC: 37J35 37-02 53D17 70H06 37J05 12H05 14H70 PDFBibTeX XMLCite \textit{M. Audin}, Les systèmes hamiltoniens et leur intégrabilité. Paris: Société Mathématique de France (2001; Zbl 1144.37001)
Yoshida, H. Painlevé analysis for Hamiltonian systems and its justification by differential Galois theory. (English) Zbl 0958.37030 Boiti, M. (ed.) et al., Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS ’79, Lecce, Italy, July 1-10, 1999. Singapore: World Scientific. 343-349 (2000). MSC: 37J35 34M55 34M50 12H05 PDFBibTeX XMLCite \textit{H. Yoshida}, in: Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS '79, Lecce, Italy, July 1--10, 1999. Singapore: World Scientific. 343--349 (2000; Zbl 0958.37030)
Takasaki, K. Differential algebras and \({\mathcal D}\)-modules in super Toda lattice hierarchy. (English) Zbl 0692.58008 Lett. Math. Phys. 19, No. 3, 229-236 (1990). MSC: 58C50 37J35 37K10 81T25 12H05 35Q99 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 19, No. 3, 229--236 (1990; Zbl 0692.58008) Full Text: DOI
Noumi, Masatoshi Wronskian determinants and the Gröbner representation of a linear differential equation: An approach to nonlinear integrable systems. (English) Zbl 0686.58020 Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 2, 549-569 (1989). Reviewer: M.Noumi MSC: 37J35 37K10 12H05 35N10 PDFBibTeX XML
van Moerbeke, Pierre; Mumford, David The spectrum of difference operators and algebraic curves. (English) Zbl 0502.58032 Acta Math. 143, 93-154 (1979). MSC: 37A30 14H40 47B39 37G99 37J35 37K10 58C10 14K25 32G20 14C40 14H52 12H10 14C35 18F20 14H15 14C20 PDFBibTeX XMLCite \textit{P. van Moerbeke} and \textit{D. Mumford}, Acta Math. 143, 93--154 (1979; Zbl 0502.58032) Full Text: DOI
Gorbatenko, E. M. Germs of Pfaffian manifolds. (Russian) Zbl 0482.58004 Geom. Sb. 13, Tr. Tomsk. Ordena Krasnogo Znameni Gos. Univ. Im. V. V. Kujbysheva 246, 9-19 (1973). Reviewer: N. Popescu (M.R. 50, 8386) MSC: 58A30 58A17 12H20 58J99 13N05 PDFBibTeX XML