Liu, Jian-Gen; Wang, Jing-Qun Invariant analysis of the linear time-space fractional \((2+1)\)-dimensional Burgers equation. (English) Zbl 1524.76331 Comput. Appl. Math. 42, No. 4, Paper No. 199, 19 p. (2023). MSC: 76M60 37K10 70S10 35Q35 PDFBibTeX XMLCite \textit{J.-G. Liu} and \textit{J.-Q. Wang}, Comput. Appl. Math. 42, No. 4, Paper No. 199, 19 p. (2023; Zbl 1524.76331) Full Text: DOI
Rasin, Alexander G. Computation of generating symmetries. (English) Zbl 1511.37074 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107003, 12 p. (2023). MSC: 37K06 37-04 37K10 35B06 35Q51 70G65 70H33 70S10 68W30 PDFBibTeX XMLCite \textit{A. G. Rasin}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107003, 12 p. (2023; Zbl 1511.37074) Full Text: DOI arXiv
Zhu, Junyi; Shao, Kaiwen; Wang, Xueru Extended KP equation and solutions with special properties. (English) Zbl 1524.70055 Wave Motion 115, Article ID 103051, 10 p. (2022). MSC: 70H06 35Q53 PDFBibTeX XMLCite \textit{J. Zhu} et al., Wave Motion 115, Article ID 103051, 10 p. (2022; Zbl 1524.70055) Full Text: DOI
Rasin, Alexander G.; Schiff, Jeremy Four symmetries of the KdV equation. (English) Zbl 1492.35284 J. Nonlinear Sci. 32, No. 5, Paper No. 68, 23 p. (2022). MSC: 35Q53 37K10 37K35 17B80 70G65 PDFBibTeX XMLCite \textit{A. G. Rasin} and \textit{J. Schiff}, J. Nonlinear Sci. 32, No. 5, Paper No. 68, 23 p. (2022; Zbl 1492.35284) Full Text: DOI arXiv
Qin, Yanan \(N\)-fold Darboux transformation of a six-field integrable lattice system. (English) Zbl 1490.82033 Int. J. Mod. Phys. B 35, No. 24, Article ID 2150248, 10 p. (2021). MSC: 82D80 82D25 37K10 37K35 70S15 18D65 PDFBibTeX XMLCite \textit{Y. Qin}, Int. J. Mod. Phys. B 35, No. 24, Article ID 2150248, 10 p. (2021; Zbl 1490.82033) Full Text: DOI
Bor, Gil; Levi, Mark; Perline, Ron; Tabachnikov, Sergei Tire tracks and integrable curve evolution. (English) Zbl 1479.70036 Int. Math. Res. Not. 2020, No. 9, 2698-2768 (2020). MSC: 70F25 37K10 PDFBibTeX XMLCite \textit{G. Bor} et al., Int. Math. Res. Not. 2020, No. 9, 2698--2768 (2020; Zbl 1479.70036) Full Text: DOI arXiv
Liu, Hsiao-Fan The star mean curvature flow on 3-sphere and hyperbolic 3-space. (English) Zbl 1451.53123 Asian J. Math. 24, No. 3, 483-500 (2020). MSC: 53E10 37K10 70E40 PDFBibTeX XMLCite \textit{H.-F. Liu}, Asian J. Math. 24, No. 3, 483--500 (2020; Zbl 1451.53123) Full Text: DOI
Mukherjee, Indranil; Guha, Partha A study of nonholonomic deformations of nonlocal integrable systems belonging to the nonlinear Schrödinger family. (English) Zbl 1440.35309 Russ. J. Nonlinear Dyn. 15, No. 3, 293-307 (2019). MSC: 35Q55 37K10 37J60 70F25 32G05 PDFBibTeX XMLCite \textit{I. Mukherjee} and \textit{P. Guha}, Russ. J. Nonlinear Dyn. 15, No. 3, 293--307 (2019; Zbl 1440.35309) Full Text: DOI arXiv MNR
Blower, Gordon; Brett, Caroline; Doust, Ian Statistical mechanics of the periodic Benjamin-Ono equation. (English) Zbl 1428.82025 J. Math. Phys. 60, No. 9, 093302, 25 p. (2019). MSC: 82B30 37K10 35Q53 35C08 46E35 82D05 76N15 35R06 35Q31 35R09 70H20 PDFBibTeX XMLCite \textit{G. Blower} et al., J. Math. Phys. 60, No. 9, 093302, 25 p. (2019; Zbl 1428.82025) Full Text: DOI arXiv
Rasin, Alexander G.; Schiff, Jeremy A simple-looking relative of the Novikov, Hirota-Satsuma and Sawada-Kotera equations. (English) Zbl 1418.35330 J. Nonlinear Math. Phys. 26, No. 4, 555-568 (2019). MSC: 35Q53 37K05 37K10 37K35 37K40 37K45 70G65 PDFBibTeX XMLCite \textit{A. G. Rasin} and \textit{J. Schiff}, J. Nonlinear Math. Phys. 26, No. 4, 555--568 (2019; Zbl 1418.35330) Full Text: DOI arXiv
Nugmanova, Gulgassyl; Myrzakul, Akbota Integrability of the two-layer spin system. (English) Zbl 1411.37056 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 20th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2018. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 20, 208-214 (2019). MSC: 37K10 37J35 70G45 70G65 PDFBibTeX XMLCite \textit{G. Nugmanova} and \textit{A. Myrzakul}, Geom. Integrability Quantization 20, 208--214 (2019; Zbl 1411.37056) Full Text: DOI Euclid Link
Liu, Xi-Zhong; Yu, Jun; Lou, Zhi-Mei; Cao, Qiao-Jun Residual symmetry reduction and consistent Riccati expansion of the generalized Kaup-Kupershmidt equation. (English) Zbl 1514.35379 Commun. Theor. Phys. 69, No. 6, Article ID 625, 6 p. (2018). MSC: 35Q51 37K10 35B06 70H33 PDFBibTeX XMLCite \textit{X.-Z. Liu} et al., Commun. Theor. Phys. 69, No. 6, Article ID 625, 6 p. (2018; Zbl 1514.35379) Full Text: DOI
Singh, Manjit; Gupta, R. K. On Painlevé analysis, symmetry group and conservation laws of Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1408.70020 Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 88, 15 p. (2018). MSC: 70S10 35A30 35L65 37K10 PDFBibTeX XMLCite \textit{M. Singh} and \textit{R. K. Gupta}, Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 88, 15 p. (2018; Zbl 1408.70020) Full Text: DOI
Alsallami, S. A. M.; Niesen, J.; Nijhoff, F. W. Closed-form modified Hamiltonians for integrable numerical integration schemes. (English) Zbl 1401.65142 Nonlinearity 31, No. 11, 5110-5146 (2018). MSC: 65P10 65D30 37M15 70H15 37K10 39A14 PDFBibTeX XMLCite \textit{S. A. M. Alsallami} et al., Nonlinearity 31, No. 11, 5110--5146 (2018; Zbl 1401.65142) Full Text: DOI arXiv Link
Chen, Jinbing Quasi-periodic solutions to a negative-order integrable system of 2-component KdV equation. (English) Zbl 1387.35515 Int. J. Geom. Methods Mod. Phys. 15, No. 3, Article ID 1850040, 34 p. (2018). MSC: 35Q51 35Q53 37K10 37K20 70K43 35B10 PDFBibTeX XMLCite \textit{J. Chen}, Int. J. Geom. Methods Mod. Phys. 15, No. 3, Article ID 1850040, 34 p. (2018; Zbl 1387.35515) Full Text: DOI
Babajanov, Bazar; Fečkan, Michal; Urazboev, Gayrat On the periodic Toda lattice hierarchy with an integral source. (English) Zbl 07261220 Commun. Nonlinear Sci. Numer. Simul. 52, 110-123 (2017). MSC: 37J35 70H06 37K10 PDFBibTeX XMLCite \textit{B. Babajanov} et al., Commun. Nonlinear Sci. Numer. Simul. 52, 110--123 (2017; Zbl 07261220) Full Text: DOI
Bogdanov, L. V.; Pavlov, M. V. Linearly degenerate hierarchies of quasiclassical SDYM type. (English) Zbl 1377.37093 J. Math. Phys. 58, No. 9, 093505, 13 p. (2017). Reviewer: Gabor Etesi (Budapest) MSC: 37K10 70S15 81T13 PDFBibTeX XMLCite \textit{L. V. Bogdanov} and \textit{M. V. Pavlov}, J. Math. Phys. 58, No. 9, 093505, 13 p. (2017; Zbl 1377.37093) Full Text: DOI arXiv
Tabachnikov, Serge On the bicycle transformation and the filament equation: results and conjectures. (English) Zbl 1375.37159 J. Geom. Phys. 115, 116-123 (2017). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 37K10 37K25 53A17 70B15 PDFBibTeX XMLCite \textit{S. Tabachnikov}, J. Geom. Phys. 115, 116--123 (2017; Zbl 1375.37159) Full Text: DOI arXiv
Hone, Andrew N. W.; Kouloukas, Theodoros E.; Ward, Chloe On reductions of the Hirota-Miwa equation. (English) Zbl 1425.70032 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 057, 17 p. (2017). MSC: 70H06 37K10 39A20 39A14 13F60 PDFBibTeX XMLCite \textit{A. N. W. Hone} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 057, 17 p. (2017; Zbl 1425.70032) Full Text: DOI arXiv
Rasin, Alexander G.; Schiff, Jeremy Bäcklund transformations for the Camassa-Holm equation. (English) Zbl 1365.37054 J. Nonlinear Sci. 27, No. 1, 45-69 (2017). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K35 37K05 37K10 35C08 35C07 70S10 PDFBibTeX XMLCite \textit{A. G. Rasin} and \textit{J. Schiff}, J. Nonlinear Sci. 27, No. 1, 45--69 (2017; Zbl 1365.37054) Full Text: DOI arXiv
Zhu, Shundong; Shen, Shoufeng; Jin, Yongyang; Li, Chunxia; Ma, Wen-Xiu New soliton hierarchies associated with the real Lie algebra \(\mathrm{so}(4,\mathbb{R})\). (English) Zbl 1358.37109 Math. Methods Appl. Sci. 40, No. 3, 680-698 (2017). MSC: 37K10 37K05 35Q53 70G65 PDFBibTeX XMLCite \textit{S. Zhu} et al., Math. Methods Appl. Sci. 40, No. 3, 680--698 (2017; Zbl 1358.37109) Full Text: DOI
Arnaudon, Alexis On a Lagrangian reduction and a deformation of completely integrable systems. (English) Zbl 1353.37129 J. Nonlinear Sci. 26, No. 5, 1133-1160 (2016). MSC: 37K10 37K05 70H33 35Q55 PDFBibTeX XMLCite \textit{A. Arnaudon}, J. Nonlinear Sci. 26, No. 5, 1133--1160 (2016; Zbl 1353.37129) Full Text: DOI arXiv
Suris, Yuri B.; Vermeeren, Mats On the Lagrangian structure of integrable hierarchies. (English) Zbl 1408.37120 Bobenko, Alexander I. (ed.), Advances in discrete differential geometry. Berlin: Springer. 347-378 (2016). MSC: 37K10 37K05 58E30 70H30 39A12 PDFBibTeX XMLCite \textit{Y. B. Suris} and \textit{M. Vermeeren}, in: Advances in discrete differential geometry. Berlin: Springer. 347--378 (2016; Zbl 1408.37120) Full Text: DOI arXiv
Costin, O.; Costin, R. D.; Huang, M. A direct method to find Stokes multipliers in closed form for \(\mathrm{P}_1\) and more general integrable systems. (English) Zbl 1354.33016 Trans. Am. Math. Soc. 368, No. 11, 7579-7621 (2016). Reviewer: Nakazono Nobutaka (Sydney) MSC: 33E17 34M40 70H11 37K10 37J35 PDFBibTeX XMLCite \textit{O. Costin} et al., Trans. Am. Math. Soc. 368, No. 11, 7579--7621 (2016; Zbl 1354.33016) Full Text: DOI arXiv
Bambusi, D.; Kappeler, T.; Paul, T. From Toda to KdV. (English) Zbl 1334.37078 Nonlinearity 28, No. 7, 2461-2496 (2015). Reviewer: Johannes Giannoulis (Ioannina) MSC: 37K10 70F45 81Q20 PDFBibTeX XMLCite \textit{D. Bambusi} et al., Nonlinearity 28, No. 7, 2461--2496 (2015; Zbl 1334.37078) Full Text: DOI arXiv
Kiselev, Arthemy V.; Krutov, Andrey O. Non-abelian Lie algebroids over jet spaces. (English) Zbl 1420.37069 J. Nonlinear Math. Phys. 21, No. 2, 188-213 (2014). MSC: 37K10 81T70 53D17 58A20 70S15 81T13 PDFBibTeX XMLCite \textit{A. V. Kiselev} and \textit{A. O. Krutov}, J. Nonlinear Math. Phys. 21, No. 2, 188--213 (2014; Zbl 1420.37069) Full Text: DOI arXiv
Elmandouh, A. A. New integrable Fokker-Planck Hamiltonian with a quadratic integral in momenta. (English) Zbl 1305.70036 Far East J. Appl. Math. 87, No. 1, 73-90 (2014). MSC: 70H06 70H15 35Q84 37K10 PDFBibTeX XMLCite \textit{A. A. Elmandouh}, Far East J. Appl. Math. 87, No. 1, 73--90 (2014; Zbl 1305.70036) Full Text: Link
Mikhailov, Alexandre V.; Xenitidis, Pavlos Second order integrability conditions for difference equations: an integrable equation. (English) Zbl 1305.39011 Lett. Math. Phys. 104, No. 4, 431-450 (2014). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 39A14 37K10 37K35 70G65 PDFBibTeX XMLCite \textit{A. V. Mikhailov} and \textit{P. Xenitidis}, Lett. Math. Phys. 104, No. 4, 431--450 (2014; Zbl 1305.39011) Full Text: DOI arXiv
Bracken, Paul Deformation of surfaces in three-dimensional space induced by means of integrable systems. (English) Zbl 1259.53005 Nonlinear Anal., Real World Appl. 14, No. 3, 1331-1339 (2013). MSC: 53A05 37K10 70S15 PDFBibTeX XMLCite \textit{P. Bracken}, Nonlinear Anal., Real World Appl. 14, No. 3, 1331--1339 (2013; Zbl 1259.53005) Full Text: DOI Link
Zhang, Yufeng; Ma, Wen-Xiu Lie algebraic approach to nonlinear integrable couplings of evolution type. (English) Zbl 1417.37249 J. Appl. Nonlinear Dyn. 1, No. 1, 1-28 (2012). MSC: 37K30 37K05 37K10 70G65 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W.-X. Ma}, J. Appl. Nonlinear Dyn. 1, No. 1, 1--28 (2012; Zbl 1417.37249) Full Text: DOI
Atkinson, J.; Lobb, S. B.; Nijhoff, F. W. An integrable multicomponent quad-equation and its Lagrangian formulation. (English. Russian original) Zbl 1338.37109 Theor. Math. Phys. 173, No. 3, 1644-1653 (2012); translation from Teor. Mat. Fiz. 173, No. 3, 363-374 (2012). MSC: 37K60 37K10 35Q53 70S05 39A12 PDFBibTeX XMLCite \textit{J. Atkinson} et al., Theor. Math. Phys. 173, No. 3, 1644--1653 (2012; Zbl 1338.37109); translation from Teor. Mat. Fiz. 173, No. 3, 363--374 (2012) Full Text: DOI arXiv
Garifullin, R. N.; Yamilov, R. I. Generalized symmetry classification of discrete equations of a class depending on twelve parameters. (English) Zbl 1257.39007 J. Phys. A, Math. Theor. 45, No. 34, Article ID 345205, 23 p. (2012). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A14 70G65 70S10 37K10 PDFBibTeX XMLCite \textit{R. N. Garifullin} and \textit{R. I. Yamilov}, J. Phys. A, Math. Theor. 45, No. 34, Article ID 345205, 23 p. (2012; Zbl 1257.39007) Full Text: DOI arXiv
Dong, Huan-He; Yi, Fang-Jiao; Su, Jie; Lu, Guo-Zhi An integrable symplectic map of a differential-difference hierarchy. (English) Zbl 1247.37056 Commun. Theor. Phys. 57, No. 3, 333-338 (2012). MSC: 37K10 37K05 37J10 70H06 PDFBibTeX XMLCite \textit{H.-H. Dong} et al., Commun. Theor. Phys. 57, No. 3, 333--338 (2012; Zbl 1247.37056) Full Text: DOI
Reyes, Enrique G. Jet bundles, symmetries, Darboux transforms. (English) Zbl 1262.58022 Acosta-Humánez, Primitivo B. (ed.) et al., Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics, Jairo Charris Seminar 2010, Santa Maria, Colombia, August 2010. Providence, RI: American Mathematical Society (AMS); Bogota: Instituto de Matemáticas y sus Aplicaciones (IMA). (ISBN 978-0-8218-7584-1/pbk). Contemporary Mathematics 563, 137-164 (2012). Reviewer: John O’Hara (Wivenhoe Park) MSC: 58J72 58J70 58A20 58A15 37K10 70H06 70G65 70S10 PDFBibTeX XMLCite \textit{E. G. Reyes}, Contemp. Math. 563, 137--164 (2012; Zbl 1262.58022)
Bolsinov, A. V.; Konyaev, A. Yu. Algebraic and geometric properties of quadratic Hamiltonians determined by sectional operators. (English. Russian original) Zbl 1317.37068 Math. Notes 90, No. 5, 666-677 (2011); translation from Mat. Zametki 90, No. 5, 689-702 (2011). MSC: 37K10 37K30 70G65 70H06 PDFBibTeX XMLCite \textit{A. V. Bolsinov} and \textit{A. Yu. Konyaev}, Math. Notes 90, No. 5, 666--677 (2011; Zbl 1317.37068); translation from Mat. Zametki 90, No. 5, 689--702 (2011) Full Text: DOI
Rogers, C.; Schief, W. K. The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability. (English) Zbl 1272.76200 J. Math. Phys. 52, No. 8, 083701, 20 p. (2011). MSC: 76N15 76W05 76U05 70S05 35Q55 37K10 PDFBibTeX XMLCite \textit{C. Rogers} and \textit{W. K. Schief}, J. Math. Phys. 52, No. 8, 083701, 20 p. (2011; Zbl 1272.76200) Full Text: DOI Link
Zhang, Yu-Feng; Hon, Y. C. Some evolution hierarchies derived from self-dual Yang-Mills equations. (English) Zbl 1247.37075 Commun. Theor. Phys. 56, No. 5, 856-872 (2011). MSC: 37K10 70S15 37K05 22E67 PDFBibTeX XMLCite \textit{Y.-F. Zhang} and \textit{Y. C. Hon}, Commun. Theor. Phys. 56, No. 5, 856--872 (2011; Zbl 1247.37075) Full Text: DOI
Holm, Darryl D. Applications of Poisson geometry to physical problems. (English) Zbl 1218.37084 Ratiu, Tudor (ed.) et al., Lectures on Poisson geometry. Based on a summer school, Trieste, Italy, July 4–22, 2005. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 17, 221-384 (2011). MSC: 37K05 53Z05 70S05 37K10 37K65 70S10 PDFBibTeX XMLCite \textit{D. D. Holm}, Geom. Topol. Monogr. 17, 221--384 (2011; Zbl 1218.37084) Full Text: arXiv
Kozlowski, Karol Kajetan; Teschner, Jörg TBA for the Toda chain. (English) Zbl 1225.37078 Feigin, Boris (ed.) et al., New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27–31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4324-36-6/hbk; 978-981-4324-37-3/ebook). 195-219 (2011). Reviewer: Gheorghe Zet (Iaşi) MSC: 37K10 70K99 PDFBibTeX XMLCite \textit{K. K. Kozlowski} and \textit{J. Teschner}, in: New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27--31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific. 195--219 (2011; Zbl 1225.37078) Full Text: arXiv
Ibragimov, N. H.; Torrisi, M.; Tracinà, R. Self-adjointness and conservation laws of a generalized Burgers equation. (English) Zbl 1216.35115 J. Phys. A, Math. Theor. 44, No. 14, Article ID 145201, 5 p. (2011). MSC: 35Q53 45K05 70H33 37K05 37K10 PDFBibTeX XMLCite \textit{N. H. Ibragimov} et al., J. Phys. A, Math. Theor. 44, No. 14, Article ID 145201, 5 p. (2011; Zbl 1216.35115) Full Text: DOI Link
Lie, She Liam; Van Groesen, E. Variational derivation of improved KP-type of equations. (English) Zbl 1235.76012 Phys. Lett., A 374, No. 3, 411-415 (2010). MSC: 76B15 35Q53 70S05 PDFBibTeX XMLCite \textit{S. L. Lie} and \textit{E. Van Groesen}, Phys. Lett., A 374, No. 3, 411--415 (2010; Zbl 1235.76012) Full Text: DOI
Wang, Jia; Li, Biao; Ye, Wang-Chuan Extended symmetry of generalized variable-coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1228.81161 Commun. Theor. Phys. 53, No. 4, 698-702 (2010). MSC: 81Q05 70H33 35Q53 81R12 37J35 PDFBibTeX XMLCite \textit{J. Wang} et al., Commun. Theor. Phys. 53, No. 4, 698--702 (2010; Zbl 1228.81161) Full Text: DOI
Barnich, Glenn; Troessaert, Cédric Duality and integrability: electromagnetism, linearized gravity, and massless higher spin gauge fields as bi-Hamiltonian systems. (English) Zbl 1214.81142 J. Math. Phys. 50, No. 4, 042301, 7 p. (2009). MSC: 81T13 37K10 70S15 78A25 PDFBibTeX XMLCite \textit{G. Barnich} and \textit{C. Troessaert}, J. Math. Phys. 50, No. 4, 042301, 7 p. (2009; Zbl 1214.81142) Full Text: DOI arXiv Link
Levi, D.; Yamilov, R. I. The generalized symmetry method for discrete equations. (English) Zbl 1180.37093 J. Phys. A, Math. Theor. 42, No. 45, Article ID 454012, 18 p. (2009). Reviewer: Christian Pötzsche (München) MSC: 37K10 70S10 39A14 PDFBibTeX XMLCite \textit{D. Levi} and \textit{R. I. Yamilov}, J. Phys. A, Math. Theor. 42, No. 45, Article ID 454012, 18 p. (2009; Zbl 1180.37093) Full Text: DOI arXiv
Holm, Darryl D.; Schmah, Tanya; Stoica, Cristina Geometric mechanics and symmetry. From finite to infinite dimensions. (English) Zbl 1175.70001 Oxford Texts in Applied and Engineering Mathematics 12. Oxford: Oxford University Press (ISBN 978-0-19-921291-0/pbk; 978-0-19-921290-3/hbk). xvi, 515 p. (2009). Reviewer: Giuseppe Gaeta (Milano) MSC: 70-01 37-01 70G45 37J15 37Jxx 37K05 37K10 37N10 53D05 70G40 70G65 PDFBibTeX XMLCite \textit{D. D. Holm} et al., Geometric mechanics and symmetry. From finite to infinite dimensions. Oxford: Oxford University Press (2009; Zbl 1175.70001)
Zhou, Ruguang; Hu, Xiaoli From integrable to superintegrable. (English) Zbl 1168.37021 J. Phys. A, Math. Theor. 42, No. 17, Article ID 175401, 9 p. (2009). Reviewer: Rakib Efendiev (Baku) MSC: 37K10 70H08 PDFBibTeX XMLCite \textit{R. Zhou} and \textit{X. Hu}, J. Phys. A, Math. Theor. 42, No. 17, Article ID 175401, 9 p. (2009; Zbl 1168.37021) Full Text: DOI
Tsiganov, A. V. The Poisson bracket compatible with the classical reflection equation algebra. (English) Zbl 1229.70061 Regul. Chaotic Dyn. 13, No. 3, 191-203 (2008). MSC: 70H20 70H06 37K10 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 13, No. 3, 191--203 (2008; Zbl 1229.70061) Full Text: DOI arXiv
Dragović, Vladimir Algebro-geometric integration in classical and statistical mechanics. (English) Zbl 1265.70001 Stanković, Bogoljub (ed.), Applications of mathematics in mechanics. Beograd: Matematički Institut SANU (ISBN 86-80593-39-7/pbk). Zbornik Radova (Beograd) 11(19), 121-154 (2006). Reviewer: Milena Radnović (Beograd) MSC: 70-02 70H06 70H20 37K10 PDFBibTeX XMLCite \textit{V. Dragović}, Zb. Rad. (Beogr.) 11, 121--154 (2006; Zbl 1265.70001)
Boualem, H.; Brouzet, R. Bi-Hamiltonian systems of deformation type. (English) Zbl 1103.37040 J. Geom. Phys. 56, No. 8, 1370-1386 (2006). MSC: 37K10 53D05 53D17 70H06 PDFBibTeX XMLCite \textit{H. Boualem} and \textit{R. Brouzet}, J. Geom. Phys. 56, No. 8, 1370--1386 (2006; Zbl 1103.37040) Full Text: DOI
Mansfield, Elizabeth L.; van der Kamp, Peter H. Evolution of curvature invariants and lifting integrability. (English) Zbl 1099.53012 J. Geom. Phys. 56, No. 8, 1294-1325 (2006). MSC: 53A55 70G65 37K10 37K25 14H50 PDFBibTeX XMLCite \textit{E. L. Mansfield} and \textit{P. H. van der Kamp}, J. Geom. Phys. 56, No. 8, 1294--1325 (2006; Zbl 1099.53012) Full Text: DOI
Albano, Paolo On the regularity of the solution of the Dirichlet problem for Hamilton-Jacobi equations. (English) Zbl 1212.35443 Differ. Integral Equ. 18, No. 6, 601-610 (2005). Reviewer: Ivan Straškraba (Praha) MSC: 35Q55 37K10 70H20 PDFBibTeX XMLCite \textit{P. Albano}, Differ. Integral Equ. 18, No. 6, 601--610 (2005; Zbl 1212.35443)
Grigor’ev, Yu. A.; Tsyganov, A. V. Symbolic software for separation of variables in the Hamilton-Jacobi equation for the \(L\)-systems. (English) Zbl 1133.37329 Regul. Chaotic Dyn. 10, No. 4, 413-422 (2005). MSC: 37J35 37K10 68W30 70H20 37-04 70-04 70H06 PDFBibTeX XMLCite \textit{Yu. A. Grigor'ev} and \textit{A. V. Tsyganov}, Regul. Chaotic Dyn. 10, No. 4, 413--422 (2005; Zbl 1133.37329) Full Text: DOI arXiv
Falqui, G.; Pedroni, M. Gel’fand-Zakharevich systems and algebraic integrability: the Volterra lattice revisited. (English) Zbl 1133.37327 Regul. Chaotic Dyn. 10, No. 4, 399-412 (2005). MSC: 37J35 14H70 37K10 70H06 70H20 PDFBibTeX XMLCite \textit{G. Falqui} and \textit{M. Pedroni}, Regul. Chaotic Dyn. 10, No. 4, 399--412 (2005; Zbl 1133.37327) Full Text: DOI arXiv
Prykarpatsky, Ya. A.; Samojlenko, A. M. The Lagrangian and Hamiltonian aspects of infinite-dimensional dynamical systems and their finite-dimensional reduction. (English) Zbl 1107.37058 Nelinijni Kolyvannya 8, No. 3, 360-387 (2005). Reviewer: V. I. Zhukovsky (Moskva) MSC: 37K10 37J35 37K65 70H06 58A20 37J15 PDFBibTeX XMLCite \textit{Ya. A. Prykarpatsky} and \textit{A. M. Samojlenko}, Neliniĭni Kolyvannya 8, No. 3, 360--387 (2005; Zbl 1107.37058) Full Text: arXiv
Winternitz, P. Superintegrable systems in classical and quantum mechanics. (English) Zbl 1064.35156 Shabat, A.B.(ed.) et al., New trends in integrability and partial solvability. Proceedings of the NATO Advanced Research Workshop, Cadiz, Spain, June 12–16, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1835-5/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 132, 281-297 (2004). MSC: 35Q40 37K10 81Q05 70H05 PDFBibTeX XMLCite \textit{P. Winternitz}, NATO Sci. Ser. II, Math. Phys. Chem. 132, 281--297 (2004; Zbl 1064.35156)
Meucci, Attilio Toda equations, bi-Hamiltonian systems, and compatible Lie algebroids. (English) Zbl 1001.37047 Math. Phys. Anal. Geom. 4, No. 2, 131-146 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37J35 37K30 37K10 70H06 37K60 53D20 PDFBibTeX XMLCite \textit{A. Meucci}, Math. Phys. Anal. Geom. 4, No. 2, 131--146 (2001; Zbl 1001.37047) Full Text: DOI
Guha, Partha Volume preserving multidimensional integrable systems and Nambu-Poisson geometry. (English) Zbl 0987.35143 J. Nonlinear Math. Phys. 8, No. 3, 325-341 (2001). MSC: 35Q53 37K25 70H06 PDFBibTeX XMLCite \textit{P. Guha}, J. Nonlinear Math. Phys. 8, No. 3, 325--341 (2001; Zbl 0987.35143) Full Text: DOI arXiv
Penskoi, A. V. Lagrangian time-discretization of the Korteweg-de Vries equation. (English) Zbl 1115.37351 Phys. Lett., A 269, No. 4, 224-229 (2000). MSC: 37K10 70H03 37K30 35Q53 PDFBibTeX XMLCite \textit{A. V. Penskoi}, Phys. Lett., A 269, No. 4, 224--229 (2000; Zbl 1115.37351) Full Text: DOI
Hikami, Kazuhiro; Inoue, Rei The Hamiltonian structure of the Bogoyavlensky lattice. (English) Zbl 0955.37045 J. Phys. Soc. Japan 68, No. 3, 776-783 (1999). MSC: 37K10 37K05 37K30 37K60 70H06 PDFBibTeX XMLCite \textit{K. Hikami} and \textit{R. Inoue}, J. Phys. Soc. Japan 68, No. 3, 776--783 (1999; Zbl 0955.37045) Full Text: DOI
Moser, J. Integrable Hamiltonian systems and spectral theory. Transl. from the English. (Интегрируемые гамильтоновы системы и спектральная теория.) (Russian) Zbl 0989.70001 Izhevsk: Nauchno-Izdatel’skiĭ Tsentr “Regulyarnaya i Khaoticheskaya Dinamika”. 296 p. (1999). Reviewer: Iskander A.Taimanov (Novosibirsk) MSC: 70-03 01A75 70H06 37N05 37J35 37K10 37K15 35Q53 PDFBibTeX XMLCite \textit{J. Moser}, Интегрируемые гамильтоновы системы и спектральная теория (Russian). Izhevsk: Nauchno-Izdatel'skij Tsentr ``Regulyarnaya i Khaoticheskaya Dinamika'' (1999; Zbl 0989.70001)
Kambe, Tsutomu Geometrical aspects in hydrodynamics and integrable systems. (English) Zbl 0910.76013 Theor. Comput. Fluid Dyn. 10, No. 1-4, 249-261 (1998). MSC: 76D99 70E15 37J35 37K10 PDFBibTeX XMLCite \textit{T. Kambe}, Theor. Comput. Fluid Dyn. 10, No. 1--4, 249--261 (1998; Zbl 0910.76013) Full Text: DOI
Zhu, W. Q.; Huang, Z. L.; Yang, Y. Q. Stochastic averaging of quasi-integrable Hamiltonian systems. (English) Zbl 0918.70009 J. Appl. Mech. 64, No. 4, 975-984 (1997). Reviewer: William J.Satzer jun.(St.Paul) MSC: 70H05 37J35 37K10 70L05 PDFBibTeX XMLCite \textit{W. Q. Zhu} et al., J. Appl. Mech. 64, No. 4, 975--984 (1997; Zbl 0918.70009) Full Text: DOI
Nijhoff, F. W.; Pang, G. D. Discrete-time Calogero-Moser model and lattice KP equations. (English) Zbl 0858.58024 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 253-264 (1996). MSC: 37J35 37K10 39A10 70F10 PDFBibTeX XMLCite \textit{F. W. Nijhoff} and \textit{G. D. Pang}, in: Symmetries and integrability of difference equations. Papers from the workshop, May 22--29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. 253--264 (1996; Zbl 0858.58024) Full Text: arXiv
Truc, Françoise Bounded trajectories of a particle in a linear symmetric magnetic field. (Trajectoires bornées d’une particule soumise à un champ magnétique symétrique linéaire.) (French) Zbl 0862.70005 Ann. Inst. Henri Poincaré, Phys. Théor. 64, No. 2, 127-154 (1996). MSC: 70F99 78A35 70H05 37J35 37K10 PDFBibTeX XMLCite \textit{F. Truc}, Ann. Inst. Henri Poincaré, Phys. Théor. 64, No. 2, 127--154 (1996; Zbl 0862.70005) Full Text: Numdam EuDML
Calzada, Juan A.; del Olmo, Mariano A.; Rodríguez, Miguel A. A class of integrable Hamiltonian systems on pseudo-spheres. (English) Zbl 0929.37019 Salgado, Modesto (ed.) et al., WOGDA ’95. Proceedings of the 4th fall workshop on differential geometry and its applications, Santiago de Compostela, Spain, September 18-20, 1995. Madrid: CIEMAT. An. Fís., Monogr. 3, 139-150 (1996). MSC: 37K05 37K10 70H33 37C27 37D40 70H20 PDFBibTeX XMLCite \textit{J. A. Calzada} et al., An. Fís., Monogr. 3, 139--150 (1996; Zbl 0929.37019)
Zajtsev, A. A. Concerning natural Hamiltonian systems integrable in elliptic coordinates. (English. Russian original) Zbl 0903.58012 Math. Notes 60, No. 6, 698-702 (1996); translation from Mat. Zametki 60, No. 6, 924-929 (1996). Reviewer: M.Crasmareanu (Iaşi) MSC: 37J99 37J35 37K10 70H20 37D40 53D25 PDFBibTeX XMLCite \textit{A. A. Zajtsev}, Math. Notes 60, No. 6, 698--702 (1996; Zbl 0903.58012); translation from Mat. Zametki 60, No. 6, 924--929 (1996) Full Text: DOI
Eilbeck, J. C.; Ènol’skii, V. Z.; Kuznetsov, V. B.; Leykin, D. V. Classical Poisson structure for a hierarchy of one-dimensional particle systems separable in parabolic coordinates. (English) Zbl 0952.37026 J. Nonlinear Math. Phys. 1, No. 3, 275-294 (1994). Reviewer: Samir Musayev (Baku) MSC: 37K10 70F10 70H05 82B23 PDFBibTeX XMLCite \textit{J. C. Eilbeck} et al., J. Nonlinear Math. Phys. 1, No. 3, 275--294 (1994; Zbl 0952.37026) Full Text: DOI
Bagrov, V. G.; Obukhov, V. V. Complete separation of variables in the free Hamilton-Jacobi equation. (English. Russian original) Zbl 0798.53069 Theor. Math. Phys. 97, No. 2, 1275-1289 (1993); translation from Teor. Mat. Fiz. 97, No. 2, 250-269 (1993). MSC: 53Z05 37J35 37K10 70H20 PDFBibTeX XMLCite \textit{V. G. Bagrov} and \textit{V. V. Obukhov}, Theor. Math. Phys. 97, No. 2, 250--269 (1993; Zbl 0798.53069); translation from Teor. Mat. Fiz. 97, No. 2, 250--269 (1993) Full Text: DOI
Mishra, S. C. On the second order invariants for two-dimensional classical systems. (English) Zbl 0791.70012 Rep. Math. Phys. 32, No. 2, 217-221 (1993). MSC: 70H99 37J35 37K10 81V99 PDFBibTeX XMLCite \textit{S. C. Mishra}, Rep. Math. Phys. 32, No. 2, 217--221 (1993; Zbl 0791.70012) Full Text: DOI
Gatto, Letterio; Greco, Silvio Algebraic curves and differential equations: An introduction. – Appendix: Euler equations and its Jacobian flow. Computations. (English) Zbl 0758.14012 Curves Semin. Queen’s. Vol. VIII, Kingston/Can., Queen’s Pap. Pure Appl. Math. 88, Exp. B, 69 p. (1991). Reviewer: M.Schlichenmaier (Mannheim) MSC: 14H10 14F10 34K99 37J35 37K10 14H40 70H05 PDFBibTeX XMLCite \textit{L. Gatto} and \textit{S. Greco}, Queen's Pap. Pure Appl. Math. 88, 69 (1991; Zbl 0758.14012)
Veselov, A. P. What is an integrable mapping? (English) Zbl 0733.58025 What is integrability, Springer Ser. Nonlinear Dyn., 251-272 (1991). Reviewer: H.Kriete (Bochum) MSC: 37J35 37K10 70G10 35Q51 30D05 PDFBibTeX XML
Bogoyavlenskij, O. I. A theorem on two commuting automorphisms, and integrable differential equations. (English. Russian original) Zbl 0716.58018 Math. USSR, Izv. 36, No. 2, 263-279 (1991); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 2, 258-274 (1990). MSC: 37J35 37K10 35Q51 70H05 PDFBibTeX XMLCite \textit{O. I. Bogoyavlenskij}, Math. USSR, Izv. 36, No. 2, 263--279 (1991; Zbl 0716.58018); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 2, 258--274 (1990) Full Text: DOI
Savchin, V. M. Mathematical methods in the mechanics of infinite-dimensional nonpotential systems. (Matematicheskie metody mekhaniki beskonechnomernykh nepotentsial’nykh sistem.) (Russian) Zbl 0925.70160 Moskva: Universitet Druzhby Narodov. 236 p. (1991). MSC: 70H05 70-01 37J99 35Q53 49S05 37J35 37K10 70G99 PDFBibTeX XMLCite \textit{V. M. Savchin}, Matematicheskie metody mekhaniki beskonechnomernykh nepotentsial'nykh sistem (Russian). Moskva: Universitet Druzhby Narodov (1991; Zbl 0925.70160)
Caboz, Regis; Ravoson, Vincent; Gavrilov, Ljubomir Bi-Hamiltonian structure of an integrable Hénon-Heiles system. (English) Zbl 0738.70009 J. Phys. A, Math. Gen. 24, No. 10, L523-L525 (1991). MSC: 70H20 37J35 37K10 PDFBibTeX XMLCite \textit{R. Caboz} et al., J. Phys. A, Math. Gen. 24, No. 10, L523--L525 (1991; Zbl 0738.70009) Full Text: DOI
Zhuang, Dawei; Lin, Yuanqu Nonlinearization of the Lax pair for the KdV equation and integrable Hamiltonian systems. (English) Zbl 0726.70008 Nonlinear physics, Proc. Int. Conf., Shanghai/China 1989, 92-96 (1990). MSC: 70H15 37J35 37K10 35Q53 70H05 37K35 PDFBibTeX XML
Hasegawa, H. Complete integrability and stochastization of Yukawa’s equation for quantum chaos. (English) Zbl 0713.58019 Nonlinear evolution equations: integrability and spectral methods, Proc. Workshop, Como/Italy 1988, Proc. Nonlinear Sci., 505-513 (1990). Reviewer: Yu.Kifer MSC: 37J35 37K10 81Q50 70H05 PDFBibTeX XML
De Almeida da Silva, M. A.; Das, Ashok A simple Lagrangian for integrable systems. (English) Zbl 0701.70005 J. Math. Phys. 31, No. 4, 798-800 (1990). MSC: 70F99 70H03 37J35 37K10 37J99 PDFBibTeX XMLCite \textit{M. A. De Almeida da Silva} and \textit{A. Das}, J. Math. Phys. 31, No. 4, 798--800 (1990; Zbl 0701.70005) Full Text: DOI
Bekov, A. A. Integrable cases and trajectories in the Gylden-Meshcherskij problem. (English. Russian original) Zbl 0683.70013 Sov. Astron. 33, No. 1, 71-78 (1989); translation from Astron. Zh. 66, No. 1, 135-151 (1989). MSC: 70F15 37J35 37K10 70-08 PDFBibTeX XMLCite \textit{A. A. Bekov}, Sov. Astron. 33, No. 1, 71--78 (1989; Zbl 0683.70013); translation from Astron. Zh. 66, No. 1, 135--151 (1989)
Gagnon, L. Equations of motion and wave functions in spherical coordinates for an integrable Hamiltonian system. (English) Zbl 0678.70014 J. Math. Phys. 30, No. 2, 313-317 (1989). MSC: 70H05 37J99 37J35 37K10 70H20 70G10 PDFBibTeX XMLCite \textit{L. Gagnon}, J. Math. Phys. 30, No. 2, 313--317 (1989; Zbl 0678.70014) Full Text: DOI
Bekov, A. A. The integrable cases and trajectories of motion in the Gylden- Mestschersky problem. (Russian. English summary) Zbl 0663.70025 Astron. Zh. 66, No. 1, 135-151 (1989). MSC: 70F15 37J35 37K10 70-08 PDFBibTeX XMLCite \textit{A. A. Bekov}, Astron. Zh. 66, No. 1, 135--151 (1989; Zbl 0663.70025)
de Zeeuw, Tim Integrable models for galaxies. (English) Zbl 0716.70022 Integrability in dynamical systems, Pap. 3rd Fla. Workshop Nonlinear Astron., Gainesville/FL (USA) 1987, Ann. N. Y. Acad. Sci. 536, 15-24 (1988). MSC: 70F15 37J35 37K10 37J99 70H05 70G10 PDFBibTeX XML
Kuz’minykh, V. A. On an integrable case of perturbed Keplerian motion. (English. Russian original) Zbl 0711.70012 J. Appl. Math. Mech. 52, No. 6, 806-808 (1988); translation from Prikl. Mat. Mekh. 52, No. 6, 1033-1036 (1988). MSC: 70F05 70H05 37J35 37K10 37J99 PDFBibTeX XMLCite \textit{V. A. Kuz'minykh}, J. Appl. Math. Mech. 52, No. 6, 806--808 (1988; Zbl 0711.70012); translation from Prikl. Mat. Mekh. 52, No. 6, 1033--1036 (1988) Full Text: DOI
Kowalski, Krzysztof Hilbert space description of classical dynamical systems. II. (English) Zbl 0695.58017 Physica A 152, 98-108 (1988). MSC: 37J35 37K10 70G99 81T08 81Q05 58D25 35G10 35K25 46E20 PDFBibTeX XMLCite \textit{K. Kowalski}, Physica A 152, 98--108 (1988; Zbl 0695.58017) Full Text: DOI
Crampin, M. Alternative Lagrangians in particle dynamics. (English) Zbl 0666.58022 Differential geometry and its applications, Proc. Conf. Brno/Czech. 1986, Math. Appl., East. Eur. Ser. 27, 1-12 (1987). Reviewer: P.Michor MSC: 37J99 37J35 37K10 70H03 PDFBibTeX XML
Cheung, Wingsum A simple proof to the complete integrability of the free N-dimensional rigid body. (English) Zbl 0641.70004 Chin. J. Math. 15, 17-30 (1987). Reviewer: V.Sobolev MSC: 70E15 37J35 37K10 PDFBibTeX XMLCite \textit{W. Cheung}, Chin. J. Math. 15, 17--30 (1987; Zbl 0641.70004)
Gorringe, V. M.; Leach, P. G. L. Conserved vectors for the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\). (English) Zbl 0629.70013 Physica D 27, 243-248 (1987). MSC: 70H05 37J99 37J35 37K10 70-08 PDFBibTeX XMLCite \textit{V. M. Gorringe} and \textit{P. G. L. Leach}, Physica D 27, 243--248 (1987; Zbl 0629.70013) Full Text: DOI
Verosky, John The Hamiltonian structures of the nonlinear Schrödinger equation in the classical limit. (English) Zbl 0621.76017 J. Math. Phys. 28, 1094-1096 (1987). MSC: 76B15 70H99 35Q99 37J35 37K10 PDFBibTeX XMLCite \textit{J. Verosky}, J. Math. Phys. 28, 1094--1096 (1987; Zbl 0621.76017) Full Text: DOI
Bahar, Leon Y.; Kwatny, Harry G. Extension of Noether’s theorem to constrained non-conservative dynamical systems. (English) Zbl 0619.70017 Int. J. Non-Linear Mech. 22, 125-138 (1987). Reviewer: V.Chernyatin MSC: 70H30 70Sxx 70F20 70F25 37J99 49S05 37J35 37K10 PDFBibTeX XMLCite \textit{L. Y. Bahar} and \textit{H. G. Kwatny}, Int. J. Non-Linear Mech. 22, 125--138 (1987; Zbl 0619.70017) Full Text: DOI
Wojciechowski, S. Review of the recent results on integrability of natural Hamiltonian systems. (English) Zbl 0642.70008 Systèmes dynamiques non linéaires: intégrabilité et comportement qualitatif, Sémin. Mat. Supér., Sémin. Sci. OTAN (NATO Adv. Study Inst.) 102, 294-327 (1986). Reviewer: Tudor Ratiu (Santa Cruz) MSC: 70H05 37J35 37K10 37K35 70-02 PDFBibTeX XML
Molzahn, F. H.; Osborn, T. A. A constructive solution to the Hamilton-Jacobi equation. (English) Zbl 0621.70009 Local and global methods of nonlinear dynamics, Proc. Workshop, Silver Spring/Md. 1984, Lect. Notes Phys. 252, 146-168 (1986). Reviewer: A.B.Borisov MSC: 70H20 37J99 37J35 37K10 70F10 PDFBibTeX XML
Di Stasio, Pasquale; Vilasi, Gaetano Bi-Hamiltonian structure and invariant endomorphism for rigid body dynamics. (English) Zbl 0612.70014 Lett. Math. Phys. 11, 299-307 (1986). Reviewer: T.Ratiu MSC: 70H05 70E15 70E05 37J35 37K10 37A30 PDFBibTeX XMLCite \textit{P. Di Stasio} and \textit{G. Vilasi}, Lett. Math. Phys. 11, 299--307 (1986; Zbl 0612.70014) Full Text: DOI
Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J. Abelian integrals and the reduction method for an integrable Hamiltonian system. (English) Zbl 0597.70020 J. Math. Phys. 26, 1605-1612 (1985). Reviewer: D.Edelen MSC: 70H20 70H05 37J35 37K10 PDFBibTeX XMLCite \textit{L. Gagnon} et al., J. Math. Phys. 26, 1605--1612 (1985; Zbl 0597.70020) Full Text: DOI
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. Modern geometry - methods and applications. Part 2: The geometry and topology of manifolds. Transl. from the Russian by Robert G. Burns. (English) Zbl 0565.57001 Graduate Texts in Mathematics, 104. New York etc.: Springer-Verlag. XV, 430 p. DM 158.00 (1985). MSC: 57-01 55-01 53-01 70G10 70H05 70Sxx 81T08 83F05 22E10 22E15 32Q99 53C05 53C20 53C22 53C30 53C35 53A05 55Q05 55Q15 55Q25 55M20 55M25 55Q40 55R05 55R10 55R25 55R40 57M05 57M10 57M25 57N80 57R20 57R30 57R35 57R70 57R25 37J99 37J35 37K10 37D40 53D25 58J35 58J45 58E30 PDFBibTeX XML
Goodman, Roe; Wallach, Nolan R. Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows. (English) Zbl 0592.58028 Commun. Math. Phys. 94, 177-217 (1984). Reviewer: U.Cattaneo MSC: 37J99 70H05 37J35 37K10 22E70 PDFBibTeX XMLCite \textit{R. Goodman} and \textit{N. R. Wallach}, Commun. Math. Phys. 94, 177--217 (1984; Zbl 0592.58028) Full Text: DOI
Hermann, Robert Topics in the geometric theory of integrable mechanical systems. (English) Zbl 0576.58014 Interdisciplinary Mathematics, Vol. 23. Brookline, Massachusetts: Math. Sci. Press. XIV, 347 p. $ 65.00 (1984). Reviewer: L.E.Fajbusovich MSC: 37J35 37K10 58-02 70H20 60H10 53C80 PDFBibTeX XML
Lubliner, J. On the existence of equations of evolution. (English) Zbl 0568.93033 Int. J. Math. Math. Sci. 7, 409-411 (1984). Reviewer: A.Muracchini MSC: 93C10 37J35 37K10 70G10 74D99 93C15 PDFBibTeX XMLCite \textit{J. Lubliner}, Int. J. Math. Math. Sci. 7, 409--411 (1984; Zbl 0568.93033) Full Text: DOI EuDML
Gagnon, L.; Harnad, J.; Winternitz, P. Group projection method and the separation of variables for an integrable Hamiltonian system. (English) Zbl 0557.58016 Group theoretical methods in physics, 13th Int. Colloq., College Park/Md. 1984, 123-126 (1984). Reviewer: T.Ratiu MSC: 37J35 37K10 70H20 37J99 PDFBibTeX XML
Bogoyavlenskiĭ, O. I. Integrable Euler equations associated with filtrations of Lie algebras. (English. Russian original) Zbl 0554.58029 Math. USSR, Sb. 49, 229-238 (1984); translation from Mat. Sb., Nov. Ser. 121(163), No. 2(6), 233-242 (1983). MSC: 37J35 37K10 17B80 70E20 37J99 70E15 22E70 PDFBibTeX XMLCite \textit{O. I. Bogoyavlenskiĭ}, Math. USSR, Sb. 49, 229--238 (1984; Zbl 0554.58029); translation from Mat. Sb., Nov. Ser. 121(163), No. 2(6), 233--242 (1983) Full Text: DOI
Broer, L. J. F.; ten Eikelder, H. M. M. Generalized Hamiltonians for nonlinear evolution equations. (English) Zbl 0616.70017 Trends in applications of pure mathematics to mechanics IV, Pap. 4th Symp., Bratislava/Czech. 1981, Monogr. Stud. Math. 20, 19-36 (1983). MSC: 70H05 37J99 37J35 37K10 35Q99 81Q05 PDFBibTeX XML
Bogoyavlenskij, O. I. Integrals of the fourth degree for Euler’s equations on six-dimensional Lie algebras. (English. Russian original) Zbl 0557.58015 Sov. Math., Dokl. 28, 545-549 (1983); translation from Dokl. Akad. Nauk SSSR 273, 15-18 (1983). Reviewer: V.Z.Enol’skij MSC: 37J35 37K10 70E15 58E30 PDFBibTeX XMLCite \textit{O. I. Bogoyavlenskij}, Sov. Math., Dokl. 28, 545--549 (1983; Zbl 0557.58015); translation from Dokl. Akad. Nauk SSSR 273, 15--18 (1983)