Ardentov, Andrei; Hakavuori, Eero Cut time in the sub-Riemannian problem on the Cartan group. (English) Zbl 07500001 ESAIM, Control Optim. Calc. Var. 28, Paper No. 12, 19 p. (2022). MSC: 22E25 49K15 53C17 PDF BibTeX XML Cite \textit{A. Ardentov} and \textit{E. Hakavuori}, ESAIM, Control Optim. Calc. Var. 28, Paper No. 12, 19 p. (2022; Zbl 07500001) Full Text: DOI OpenURL
Rosenhaus, V.; Shankar, Ravi; Squellati, Cody Semi-invariant solutions of the Navier-Stokes equations. (English) Zbl 1393.35147 Math. Methods Appl. Sci. 41, No. 8, 2853-2893 (2018). MSC: 35Q30 22E70 35Q31 35C05 76M60 76D05 35B06 PDF BibTeX XML Cite \textit{V. Rosenhaus} et al., Math. Methods Appl. Sci. 41, No. 8, 2853--2893 (2018; Zbl 1393.35147) Full Text: DOI OpenURL
Esen, Ogǔl; Gümral, Hasan Tulczyjew’s triplet for Lie groups. II: Dynamics. (English) Zbl 1404.53097 J. Lie Theory 27, No. 2, 329-356 (2017). MSC: 53D05 22E60 70G45 70H03 70H05 70K65 PDF BibTeX XML Cite \textit{O. Esen} and \textit{H. Gümral}, J. Lie Theory 27, No. 2, 329--356 (2017; Zbl 1404.53097) Full Text: arXiv Link OpenURL
Cismas, Emanuel-Ciprian Euler-Poincaré-Arnold equations on semi-direct products. II. (English) Zbl 1352.58001 Discrete Contin. Dyn. Syst. 36, No. 11, 5993-6022 (2016). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 58B25 22E65 35Q35 PDF BibTeX XML Cite \textit{E.-C. Cismas}, Discrete Contin. Dyn. Syst. 36, No. 11, 5993--6022 (2016; Zbl 1352.58001) Full Text: DOI OpenURL
Gripaios, Ben; Sutherland, Dave Quantum mechanics of a generalised rigid body. (English) Zbl 1344.81107 J. Phys. A, Math. Theor. 49, No. 19, Article ID 195201, 27 p. (2016). MSC: 81R25 70E05 22E05 53C22 81Q05 43A25 PDF BibTeX XML Cite \textit{B. Gripaios} and \textit{D. Sutherland}, J. Phys. A, Math. Theor. 49, No. 19, Article ID 195201, 27 p. (2016; Zbl 1344.81107) Full Text: DOI arXiv OpenURL
Cismas, Emanuel-Ciprian Euler-Poincaré equations on semi-direct products. (English) Zbl 1344.58005 Monatsh. Math. 179, No. 4, 491-507 (2016). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 58B25 22E65 35Q35 PDF BibTeX XML Cite \textit{E.-C. Cismas}, Monatsh. Math. 179, No. 4, 491--507 (2016; Zbl 1344.58005) Full Text: DOI OpenURL
Górka, Przemysław; Pons, Daniel J.; Reyes, Enrique G. Equations of Camassa-Holm type and the geometry of loop groups. (English) Zbl 1332.35088 J. Geom. Phys. 87, 190-197 (2015). Reviewer: Lubomira Softova (Aversa) MSC: 35G50 22E67 22E30 35R03 35Q31 32V20 PDF BibTeX XML Cite \textit{P. Górka} et al., J. Geom. Phys. 87, 190--197 (2015; Zbl 1332.35088) Full Text: DOI OpenURL
Bira, B.; Raja Sekhar, T. Similarity solutions of two dimensional Euler equations for axisymmetric flow of perfect gases. (English) Zbl 1298.35137 Pac. J. Appl. Math. 5, No. 1, 51-59 (2013). MSC: 35Q31 76N15 22E40 PDF BibTeX XML Cite \textit{B. Bira} and \textit{T. Raja Sekhar}, Pac. J. Appl. Math. 5, No. 1, 51--59 (2013; Zbl 1298.35137) OpenURL
Chirikjian, Gregory S. Stochastic models, information theory, and Lie groups. II: Analytic methods and modern applications. (English) Zbl 1245.60001 Applied and Numerical Harmonic Analysis. Basel: Birkhäuser (ISBN 978-0-8176-4943-2/hbk; 978-0-8176-4944-9/ebook). xxvii, 433 p. (2012). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60-01 60G05 58J65 60H10 94A15 22Exx PDF BibTeX XML Cite \textit{G. S. Chirikjian}, Stochastic models, information theory, and Lie groups. II: Analytic methods and modern applications. Basel: Birkhäuser (2012; Zbl 1245.60001) Full Text: DOI OpenURL
Zuo, Dafeng A two-component \(\mu \)-Hunter-Saxton equation. (English) Zbl 1298.37066 Inverse Probl. 26, No. 8, Article ID 085003, 9 p. (2010). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 37K10 37K40 22E60 PDF BibTeX XML Cite \textit{D. Zuo}, Inverse Probl. 26, No. 8, Article ID 085003, 9 p. (2010; Zbl 1298.37066) Full Text: DOI arXiv OpenURL
Friedberg, Solomon Euler products and twisted Euler products. (English) Zbl 1267.11056 Ji, Lizhen (ed.) et al., Automorphic forms and the Langlands program. Selected papers of the conference on Langlands and geometric Langlands program, Guangzhou, China, June 18–21, 2007. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-141-4/pbk). Advanced Lectures in Mathematics (ALM) 9, 176-198 (2010). MSC: 11F66 11F70 22E55 11F68 PDF BibTeX XML Cite \textit{S. Friedberg}, Adv. Lect. Math. (ALM) 9, 176--198 (2010; Zbl 1267.11056) OpenURL
Molitor, Mathieu The group of unimodular automorphisms of a principal bundle and the Euler-Yang-Mills equations. (English) Zbl 1197.22009 Differ. Geom. Appl. 28, No. 5, 543-564 (2010). Reviewer: Lubomira Softova (Aversa) MSC: 22E65 37K65 53C80 70S15 76W05 PDF BibTeX XML Cite \textit{M. Molitor}, Differ. Geom. Appl. 28, No. 5, 543--564 (2010; Zbl 1197.22009) Full Text: DOI arXiv OpenURL
Popov, S. I.; Respondek, W.; Strelcyn, J.-M. On rational integrability of Euler equations on Lie algebra \(so0(4,\mathbb C)\), revisited. (English) Zbl 1231.35159 Phys. Lett., A 373, No. 29, 2445-2453 (2009). MSC: 35Q31 35Q05 17B08 70H05 70H33 22E70 PDF BibTeX XML Cite \textit{S. I. Popov} et al., Phys. Lett., A 373, No. 29, 2445--2453 (2009; Zbl 1231.35159) Full Text: DOI OpenURL
Crampin, Mike; Mestdag, Tom The inverse problem for invariant Lagrangians on a Lie group. (English) Zbl 1148.22004 J. Lie Theory 18, No. 2, 471-502 (2008). Reviewer: Vasile Oproiu (Iaşi) MSC: 22E30 70H03 53C60 53C22 49N45 PDF BibTeX XML Cite \textit{M. Crampin} and \textit{T. Mestdag}, J. Lie Theory 18, No. 2, 471--502 (2008; Zbl 1148.22004) Full Text: arXiv Link OpenURL
Martínez, Eduardo Variational calculus on Lie algebroids. (English) Zbl 1135.49027 ESAIM, Control Optim. Calc. Var. 14, No. 2, 356-380 (2008). MSC: 49S05 49K15 58D15 70H25 17B66 22A22 PDF BibTeX XML Cite \textit{E. Martínez}, ESAIM, Control Optim. Calc. Var. 14, No. 2, 356--380 (2008; Zbl 1135.49027) Full Text: DOI arXiv EuDML OpenURL
Pokornyĭ, Yu. V.; Pokornaya, I. Yu.; Pryadiev, V. L.; Ryabtseva, N. N. Integration in variational inequalities on spatial grids. (English. Russian original) Zbl 1151.49016 Math. Notes 81, No. 6, 810-816 (2007); translation from Mat. Zametki 81, No. 6, 904-911 (2007). Reviewer: A. Świerniak (Gliwice) MSC: 49K05 34B45 49S05 49Q15 49Q20 22A30 49J40 PDF BibTeX XML Cite \textit{Yu. V. Pokornyĭ} et al., Math. Notes 81, No. 6, 810--816 (2007; Zbl 1151.49016); translation from Mat. Zametki 81, No. 6, 904--911 (2007) Full Text: DOI OpenURL
Mikheyev, V.; Shirokov, I. Building of heat kernel on non-compact homogeneous spaces. (English) Zbl 1153.81508 EJTP, Electron. J. Theor. Phys. 3, No. 13, 99-108 (2006). MSC: 81S10 53D50 82B30 17B63 17C90 22E70 35Q05 35Q40 37K05 37K40 70E17 70G65 70H06 81R12 PDF BibTeX XML Cite \textit{V. Mikheyev} and \textit{I. Shirokov}, EJTP, Electron. J. Theor. Phys. 3, No. 13, 99--108 (2006; Zbl 1153.81508) OpenURL
Teleman, Ana-Maria Some analytical properties related to a witten-type functional. (English) Zbl 1150.53324 An. Univ. Bucur., Mat. 54, No. 1, 143-160 (2005). MSC: 53C07 46E20 55R10 22E60 PDF BibTeX XML Cite \textit{A.-M. Teleman}, An. Univ. Bucur., Mat. 54, No. 1, 143--160 (2005; Zbl 1150.53324) OpenURL
Teleman, Ana-Maria Variational problems for a Witten type functional in dimension 4. (English) Zbl 1091.53016 An. Univ. Bucur., Mat. 53, No. 1, 163-176 (2004). MSC: 53C07 53C27 46E20 55R10 22E60 53C43 PDF BibTeX XML Cite \textit{A.-M. Teleman}, An. Univ. Bucur., Mat. 53, No. 1, 163--176 (2004; Zbl 1091.53016) OpenURL
Kim, Pilwon; Olver, Peter J. Geometric integration via multi-space. (English) Zbl 1068.65092 Regul. Chaotic Dyn. 9, No. 3, 213-226 (2004). MSC: 65L05 34A26 53A55 65L06 22E20 PDF BibTeX XML Cite \textit{P. Kim} and \textit{P. J. Olver}, Regul. Chaotic Dyn. 9, No. 3, 213--226 (2004; Zbl 1068.65092) Full Text: DOI OpenURL
Cogdell, James W.; Kim, Henry H.; Murty, M. Ram Lectures on automorphic \(L\)-functions. (English) Zbl 1066.11021 Fields Institute Monographs 20. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3516-5/hbk). xii, 283 p. (2004). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F70 11-02 22E55 11F30 11F66 11R39 11S37 PDF BibTeX XML Cite \textit{J. W. Cogdell} et al., Lectures on automorphic \(L\)-functions. Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1066.11021) OpenURL
Godlewski, Piotr Solutions of Euler-Lagrange equations for self-interacting field of linear frames on product manifold of group space. (English) Zbl 1048.58011 Rep. Math. Phys. 52, No. 1, 81-88 (2003). Reviewer: Maido Rahula (Tartu) MSC: 58E30 53C07 53C80 58E15 22E46 70S05 PDF BibTeX XML Cite \textit{P. Godlewski}, Rep. Math. Phys. 52, No. 1, 81--88 (2003; Zbl 1048.58011) Full Text: DOI OpenURL
Castrillón López, M.; Muñoz Masqué, J.; Ratiu, T. Gauge invariance and variational trivial problems on the bundle of connections. (English) Zbl 1067.58013 Differ. Geom. Appl. 19, No. 2, 127-145 (2003). MSC: 58E30 17B66 22E65 53C07 81R10 PDF BibTeX XML Cite \textit{M. Castrillón López} et al., Differ. Geom. Appl. 19, No. 2, 127--145 (2003; Zbl 1067.58013) Full Text: DOI OpenURL
Penskoi, A. V.; Veselov, A. P. Discrete Lagrangian systems on the Virasoro group and Camassa-Holm family. (English) Zbl 1072.70012 Nonlinearity 16, No. 2, 683-688 (2003). MSC: 70H99 22E70 PDF BibTeX XML Cite \textit{A. V. Penskoi} and \textit{A. P. Veselov}, Nonlinearity 16, No. 2, 683--688 (2003; Zbl 1072.70012) Full Text: DOI arXiv OpenURL
Aksenov, A. V. Groups of continuous transformations and linear differential relations between solutions of the Euler-Poisson-Darboux class. (Russian) Zbl 0965.22007 Andreev, V. K. (ed.) et al., Symmetry and differential equations. Proceedings of the 2nd international conference, Krasnoyarsk, Russia, August 21-25, 2000. Krasnoyarsk: Institute of Computational Modelling, Krasnoyarsk State Univ., Krasnoyarsk State Academy of Architecture and Civil Engineering, International Academy of Sciences of High School, 8-11 (2000). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 22E05 35B05 PDF BibTeX XML Cite \textit{A. V. Aksenov}, in: Симметрия и дифференциальные уравнения. Krasnoyarsk: Institute of Computational Modelling, Krasnoyarsk State Univ., Krasnoyarsk State Academy of Architecture and Civil Engineering, International Academy of Sciences of High School. 8--11 (2000; Zbl 0965.22007) OpenURL
Perelomov, A. M. [Borisov, A. V.; Mamaev, I. S.] A note on geodesics on an ellipsoid. (English) Zbl 0947.70011 Regul. Chaotic Dyn. 5, No. 1, 89-91 (2000); comments ibid. 5, No. 1, 92-94(2000). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 70H06 70E40 22E70 37D40 70G65 37N05 PDF BibTeX XML Cite \textit{A. M. Perelomov}, Regul. Chaotic Dyn. 5, No. 1, 89--91 (2000; Zbl 0947.70011) Full Text: DOI arXiv OpenURL
Owren, B.; Welfert, B. The Newton iteration on Lie groups. (English) Zbl 0957.65054 BIT 40, No. 1, 121-145 (2000). Reviewer: Etienne Emmrich (Berlin) MSC: 65J15 22E30 34C40 65L05 47J25 PDF BibTeX XML Cite \textit{B. Owren} and \textit{B. Welfert}, BIT 40, No. 1, 121--145 (2000; Zbl 0957.65054) Full Text: DOI OpenURL
Garrett, Paul Euler factorization of global integrals. (English) Zbl 1002.11042 Doran, Robert S. (ed.) et al., Automorphic forms, automorphic representations, and arithmetic. Proceedings of the NSF-CBMS regional conference in mathematics on Euler products and Eisenstein series, Fort Worth, TX, USA, May 20-24, 1996. Dedicated to Goro Shimura. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 66(pt.2), 35-101 (1999). MSC: 11F66 11F11 22D30 PDF BibTeX XML Cite \textit{P. Garrett}, Proc. Symp. Pure Math. 66, 35--101 (1999; Zbl 1002.11042) OpenURL
Bump, Daniel; Friedberg, Solomon Metaplectic generating functions and Shimura integrals. (English) Zbl 0983.11026 Doran, Robert S. (ed.) et al., Automorphic forms, automorphic representations, and arithmetic. Proceedings of the NSF-CBMS regional conference in mathematics on Euler products and Eisenstein series, Fort Worth, TX, USA, May 20-24, 1996. Dedicated to Goro Shimura. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 66(pt.2), 1-17 (1999). Reviewer: Madathum K.Viswanath (Tambaram) MSC: 11F70 22E50 11F66 PDF BibTeX XML Cite \textit{D. Bump} and \textit{S. Friedberg}, Proc. Symp. Pure Math. 66, 1--17 (1999; Zbl 0983.11026) OpenURL
Popovych, H. O.; Vasilenko, O. F. On a class of a generalized Beltrami flows of the ideal incompressible fluid. (Ukrainian) Zbl 0912.35128 Samoilenko, A. M. (ed.) et al., Symmetric and analytic methods in mathematical physics. Series: Mathematical physics. Dedicated to the memory of V. I. Fushchich. Kyïv: Instytut Matematyky NAN Ukraïny. Pr. Inst. Mat. Nats. Akad. Nauk Ukr., Mat. Zastos. 19, 186-193 (1998). Reviewer: Oleg Limarchenko (Kyïv) MSC: 35Q35 22E60 58J70 PDF BibTeX XML Cite \textit{H. O. Popovych} and \textit{O. F. Vasilenko}, in: Symetrijni ta analitychni metody v matematychnij fizytsi. Seriya: Matematychna fizyka. Kyïv: Instytut Matematyky NAN Ukraïny. 186--193 (1998; Zbl 0912.35128) OpenURL
Myung, Hyo Chul; Lee, Dong Soo Jacobi elliptic algebras of \(SO(3)\). (English) Zbl 0886.17003 Glasg. Math. J. 39, No. 1, 115-120 (1997). Reviewer: S.Walcher (München) MSC: 17A30 53B05 22E15 PDF BibTeX XML Cite \textit{H. C. Myung} and \textit{D. S. Lee}, Glasg. Math. J. 39, No. 1, 115--120 (1997; Zbl 0886.17003) Full Text: DOI OpenURL
Fushchych, W. I.; Symenoh, Z. I. Symmetry of equations with convection terms. (English) Zbl 0948.35063 J. Nonlinear Math. Phys. 4, No. 3-4, 470-479 (1997). MSC: 35K55 22E70 35A30 35Q55 58J70 35C05 PDF BibTeX XML Cite \textit{W. I. Fushchych} and \textit{Z. I. Symenoh}, J. Nonlinear Math. Phys. 4, No. 3--4, 470--479 (1997; Zbl 0948.35063) Full Text: DOI OpenURL
Bump, Daniel Automorphic forms and representations. Paperback edition. (English) Zbl 0911.11022 Cambridge Studies in Advanced Mathematics. 55. Cambridge: Cambridge University Press. xiv, 574 p. (1997). MSC: 11Fxx 11-01 22-01 11F70 22E50 22E55 11S37 11F72 11F11 11F12 11R39 22E45 11R37 11R42 11F25 11F27 11F66 PDF BibTeX XML Cite \textit{D. Bump}, Automorphic forms and representations. Paperback edition. Cambridge: Cambridge University Press (1997; Zbl 0911.11022) OpenURL
Robart, Thierry On the integrability of infinite dimensional Lie subalgebras. (Sur l’intégrabilité des sous-algèbres de Lie en dimension infinie.) (French) Zbl 0888.22016 Can. J. Math. 49, No. 4, 820-839 (1997). Reviewer: J.Grabowski (Warszawa) MSC: 22E65 58H05 17B65 PDF BibTeX XML Cite \textit{T. Robart}, Can. J. Math. 49, No. 4, 820--839 (1997; Zbl 0888.22016) Full Text: DOI OpenURL
Bump, Daniel Automorphic forms and representations. (English) Zbl 0868.11022 Cambridge Studies in Advanced Mathematics. 55. Cambridge: Cambridge University Press. xiv, 574 p. (1997). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11Fxx 11-01 22-01 11F70 22E50 22E55 11S37 11F72 11F11 11F12 11R39 22E45 11R37 11R42 11F25 11F27 11F66 PDF BibTeX XML Cite \textit{D. Bump}, Automorphic forms and representations. Cambridge: Cambridge University Press (1997; Zbl 0868.11022) OpenURL
Popovych, H. V. Reduction of the Euler equations to systems in three independent variables. (Ukrainian) Zbl 0898.35074 Dopov. Akad. Nauk Ukr. 1996, No. 8, 23-29 (1996). Reviewer: Valerie Samoilenko (Kyïv) MSC: 35Q35 35A25 35C05 22E70 PDF BibTeX XML Cite \textit{H. V. Popovych}, Dopov. Akad. Nauk Ukr. 1996, No. 8, 23--29 (1996; Zbl 0898.35074) OpenURL
Fedorov, Yu. N.; Kozlov, V. V. Various aspects of \(n\)-dimensional rigid body dynamics. (English) Zbl 0859.70010 Kozlov, V. V. (ed.), Dynamical systems in classical mechanics. Transl., Ser. 2, Am. Math. Soc. 168(25), 141-171 (1995). Reviewer: Liu Yanzhu (Shanghai) MSC: 70E99 22E70 PDF BibTeX XML Cite \textit{Yu. N. Fedorov} and \textit{V. V. Kozlov}, Transl., Ser. 2, Am. Math. Soc. 168, 141--171 (1995; Zbl 0859.70010) OpenURL
de Azcárraga, José A.; Izquierdo, José M. Lie groups, Lie algebras, cohomology and some applications in physics. (English) Zbl 0836.22027 Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge Univ. Press. xvii, 455 p. (1995). Reviewer: A.A.Bogush (Minsk) MSC: 22E60 17B56 17B65 17B67 57T10 81R10 17B68 81T13 17-02 22-02 20J06 20J05 PDF BibTeX XML Cite \textit{J. A. de Azcárraga} and \textit{J. M. Izquierdo}, Lie groups, Lie algebras, cohomology and some applications in physics. Cambridge: Cambridge Univ. Press (1995; Zbl 0836.22027) OpenURL
Adam, A. A.; Mahomed, F. M.; Kara, A. H. Canonical forms for particle Lagrangians of the linear second-order equations. (English) Zbl 0833.34008 Quaest. Math. 17, No. 4, 469-477 (1994). Reviewer: S.K.Chatterjea (Calcutta) MSC: 34A30 22E70 34C20 37J99 PDF BibTeX XML Cite \textit{A. A. Adam} et al., Quaest. Math. 17, No. 4, 469--477 (1994; Zbl 0833.34008) Full Text: DOI OpenURL
Olver, Peter J. Applications of Lie groups to differential equations. 2nd ed. (English) Zbl 0785.58003 Graduate Texts in Mathematics. 107. New York: Springer-Verlag. xxviii, 513 p. (1993). Reviewer: Antonín Vaněček (Praha) MSC: 58-02 35-02 58J70 35A30 35Q53 58J40 35K05 35S05 22E70 PDF BibTeX XML Cite \textit{P. J. Olver}, Applications of Lie groups to differential equations. 2nd ed. New York: Springer-Verlag (1993; Zbl 0785.58003) Backlinks: MO OpenURL
Hironaka, Yumiko; Sato, Fumihiro Eisenstein series on reductive symmetric spaces and representations of Hecke algebras. (English) Zbl 0789.11031 J. Reine Angew. Math. 445, 45-108 (1993). Reviewer: F.Sato (Tokyo) MSC: 11F55 11F66 43A85 22E55 14M17 PDF BibTeX XML Cite \textit{Y. Hironaka} and \textit{F. Sato}, J. Reine Angew. Math. 445, 45--108 (1993; Zbl 0789.11031) Full Text: Crelle EuDML OpenURL
Bump, Daniel; Ginzburg, David Spin \(L\)-functions on symplectic groups. (English) Zbl 0808.22005 Int. Math. Res. Not. 1992, No. 8, 153-160 (1992). Reviewer: T.S.Bhanu Murthy (Madras) MSC: 22E55 11F70 11F66 22E50 PDF BibTeX XML Cite \textit{D. Bump} and \textit{D. Ginzburg}, Int. Math. Res. Not. 1992, No. 8, 153--160 (1992; Zbl 0808.22005) Full Text: DOI OpenURL
Chorin, A. J.; Marsden, J. E. A mathematical introduction to fluid mechanics. 2nd ed. (English) Zbl 0712.76008 Texts in Applied Mathematics, 4. New York etc.: Springer-Verlag. 168 p. DM 58.00 (1990). MSC: 76-01 76Bxx 76Dxx 76L05 70H05 35L65 22E70 PDF BibTeX XML Cite \textit{A. J. Chorin} and \textit{J. E. Marsden}, A mathematical introduction to fluid mechanics. 2nd ed. New York etc.: Springer-Verlag (1990; Zbl 0712.76008) OpenURL
Levi, D.; Nucci, M. C.; Rogers, C.; Winternitz, P. Group theoretical analysis of a rotating shallow liquid in a rigid container. (English) Zbl 0715.35067 J. Phys. A, Math. Gen. 22, No. 22, 4743-4767 (1989). MSC: 35Q35 35Q53 22E70 76B99 PDF BibTeX XML Cite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 22, No. 22, 4743--4767 (1989; Zbl 0715.35067) Full Text: DOI OpenURL
Fomenko, A. T. Symplectic geometry. Translated from the Russian by R. S. Wadhwa. (English) Zbl 0716.53005 Advanced Studies in Contemporary Mathematics, 5. New York etc.: Gordon and Breach Science Publishers. xiii, 387 p. $ 180.00 (1988). Reviewer: A.Crumeyrolle MSC: 53-02 53C15 22E70 37J99 PDF BibTeX XML Cite \textit{A. T. Fomenko}, Symplectic geometry. Translated from the Russian by R. S. Wadhwa. New York etc.: Gordon and Breach Science Publishers (1988; Zbl 0716.53005) OpenURL
Fomenko, A. T. Symplectic geometry. Methods and applications. (Simplekticheskaya geometriya. Metody i prilozheniya.) (Russian) Zbl 0751.53002 Moskva: Izdatel’stvo Moskovskogo Universiteta. 414 p. (1988). MSC: 53-02 53C15 37J99 22E70 70H05 70-02 58-02 PDF BibTeX XML Cite \textit{A. T. Fomenko}, Simplekticheskaya geometriya. Metody i prilozheniya (Russian). Moskva: Izdatel'stvo Moskovskogo Universiteta (1988; Zbl 0751.53002) OpenURL
Piatetski-Shapiro, Ilya I.; Rallis, S. A new way to get Euler products. (English) Zbl 0651.10021 J. Reine Angew. Math. 392, 110-124 (1988). Reviewer: I. Piatetski-Shapiro MSC: 11F66 22E30 11F27 PDF BibTeX XML Cite \textit{I. I. Piatetski-Shapiro} and \textit{S. Rallis}, J. Reine Angew. Math. 392, 110--124 (1988; Zbl 0651.10021) Full Text: DOI Crelle EuDML OpenURL
Słupski, Tadeusz Coadjoint orbits and a method of horizontal variations for incompressible fluids. (English) Zbl 0633.76006 Bull. Pol. Acad. Sci., Tech. Sci. 34, 137-146 (1986). MSC: 76A02 22E70 PDF BibTeX XML Cite \textit{T. Słupski}, Bull. Pol. Acad. Sci., Tech. Sci. 34, 137--146 (1986; Zbl 0633.76006) OpenURL
Brailov, A. V. Complete integrability with noncommuting integrals of certain Euler equations. (English) Zbl 0601.58038 Global analysis - studies and applications II, Lect. Notes Math. 1214, 21-39 (1986). MSC: 37J35 37K10 22E70 PDF BibTeX XML OpenURL
Olver, Peter J. Applications of Lie groups to differential equations. (English) Zbl 0588.22001 Graduate Texts in Mathematics, 107. New York etc.: Springer-Verlag. XXVI, 497 p. DM 158.00 (1986). Reviewer: Antonín Vaněček (Praha) MSC: 58-02 35-02 58J70 35A30 35Q31 35Q53 35K05 37J45 37K35 37L05 22E70 PDF BibTeX XML OpenURL
Kipriyanov, I. A.; Ivanov, L. A. On Huygens’ principle for some equations in a symmetric space. (English. Russian original) Zbl 0602.35091 Sov. Math., Dokl. 31, 429-432 (1985); translation from Dokl. Akad. Nauk SSSR 281, 1310-1313 (1985). Reviewer: G.Tu MSC: 35Q05 53C35 22E10 58J10 PDF BibTeX XML Cite \textit{I. A. Kipriyanov} and \textit{L. A. Ivanov}, Sov. Math., Dokl. 31, 429--432 (1985; Zbl 0602.35091); translation from Dokl. Akad. Nauk SSSR 281, 1310--1313 (1985) OpenURL
Bogoyavlenskiĭ, O. I. Integrable Euler equations on Lie algebras arising in problems of mathematical physics. (English. Russian original) Zbl 0583.58012 Math. USSR, Izv. 25, 207-257 (1985); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 48, No. 5, 883-938 (1984). Reviewer: S. V. Duzhin MSC: 37J35 37K10 85A15 22E70 37J99 30F30 PDF BibTeX XML Cite \textit{O. I. Bogoyavlenskiĭ}, Math. USSR, Izv. 25, 207--257 (1985; Zbl 0583.58012); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 48, No. 5, 883--938 (1984) Full Text: DOI OpenURL
Gaffet, B. SU(3) symmetry of the equations of unidimensional gas flow, with arbitrary entropy distribution. (English) Zbl 0598.76008 J. Math. Phys. 25, 245-255 (1984). MSC: 76A02 76N15 22E70 PDF BibTeX XML Cite \textit{B. Gaffet}, J. Math. Phys. 25, 245--255 (1984; Zbl 0598.76008) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Goodman} and \textit{N. R. Wallach}, Commun. Math. Phys. 94, 177--217 (1984; Zbl 0592.58028) Full Text: DOI OpenURL
Fomenko, A. T. Algebraic structure of certain integrable Hamiltonian systems. (English) Zbl 0554.58027 Global analysis - studies and applications I, Lect. Notes Math. 1108, 103-127 (1984). MSC: 37J35 37K10 37J99 22E45 PDF BibTeX XML OpenURL
Meshcheryakov, M. V. Solution of Euler equations on singular orbits of simple Lie groups. (Russian) Zbl 0554.58023 Geometriya i Topologiya v Global’nykh Nelinejnykh Zadachakh, Nov. Global’nom Anal. 1984, 158-162 (1984). Reviewer: H.Kilp MSC: 58E30 37G99 22E46 PDF BibTeX XML OpenURL
Bogoyavlenskij, O. I. Some algebraic constructions for integrable Euler equations. (Russian) Zbl 0587.35075 Topology conference, Proc., Collect. Rep., Leningrad 1982, 32-38 (1983). Reviewer: V.A.Yumaguzhin MSC: 35Q05 22E70 57S15 58J45 PDF BibTeX XML OpenURL
Bogoyavlenskij, O. I. Dynamics of a solid boy with n ellipsoidal cavities filled with a magnetic fluid. (English. Russian original) Zbl 0566.70005 Sov. Phys., Dokl. 28, 858-859 (1983); translation from Dokl. Akad. Nauk SSSR 272, 1364-1367 (1983). MSC: 70E15 22E70 76B10 76W05 PDF BibTeX XML Cite \textit{O. I. Bogoyavlenskij}, Sov. Phys., Dokl. 28, 858--859 (1983; Zbl 0566.70005); translation from Dokl. Akad. Nauk SSSR 272, 1364--1367 (1983) OpenURL
Bogoyavlenskij, O. I. Integrable Euler equations connected with filtrations of Lie algebras. (Russian) Zbl 0544.34058 Mat. Sb., N. Ser. 121(163), No. 2(6), 233-242 (1983). Reviewer: B.Jakubczyk MSC: 34H05 34A05 22E70 70E15 37J35 37K10 PDF BibTeX XML Cite \textit{O. I. Bogoyavlenskij}, Mat. Sb., Nov. Ser. 121(163), No. 2(6), 233--242 (1983; Zbl 0544.34058) Full Text: EuDML OpenURL
Verdier, Jean-Louis Algèbres de Lie, systèmes hamiltoniens, courbes algébriques (d’apres M. Adler et P. van Moerbeke). (French) Zbl 0524.58014 Mathematique et physique, Semin. Ec. Norm. Super., Paris 1979-1982, Prog. Math. 37, 237-246 (1983). MSC: 37J99 14H40 17B65 22E65 22E70 70H99 PDF BibTeX XML OpenURL
Verdier, Jean-Louis Algèbres de Lie, systèmes hamiltoniens, courbes algébriques (d’apres M. Adler et P. van Moerbeke). (French) Zbl 0492.58014 Semin. Bourbaki, 33e annee, Vol. 1980/81, Exp. 566, Lect. Notes Math. 901, 85-94 (1981). MSC: 37J99 17B65 14H40 70H99 22E65 22E70 PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Trofimov, V. V. Euler equations on finite-dimensional solvable Lie groups. (English) Zbl 0468.22006 Math. USSR, Izv. 17, 405-412 (1981). MSC: 22E25 22E10 37J35 37K10 37J99 PDF BibTeX XML Cite \textit{V. V. Trofimov}, Math. USSR, Izv. 17, 405--412 (1981; Zbl 0468.22006) Full Text: DOI OpenURL
Ratiu, Tudor Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body. (English) Zbl 0459.70007 Proc. Natl. Acad. Sci. USA 78, 1327-1328 (1981). MSC: 70E15 70H05 37J99 37J35 37K10 22E70 PDF BibTeX XML Cite \textit{T. Ratiu}, Proc. Natl. Acad. Sci. USA 78, 1327--1328 (1981; Zbl 0459.70007) Full Text: DOI OpenURL
Trofimov, V. V. Euler equations on finite-dimensional solvable Lie groups. (Russian) Zbl 0451.22008 Izv. Akad. Nauk SSSR, Ser. Mat. 44, 1191-1199 (1980). MSC: 22E25 37J35 37K10 22E10 37J99 PDF BibTeX XML Cite \textit{V. V. Trofimov}, Izv. Akad. Nauk SSSR, Ser. Mat. 44, 1191--1199 (1980; Zbl 0451.22008) OpenURL
Minea, Gheorghe The linear first integrals of the Euler equations. (English) Zbl 0438.35036 J. Math. Pures Appl., IX. Sér. 59, 441-464 (1980). MSC: 35J99 35Q05 58J32 22E60 PDF BibTeX XML Cite \textit{G. Minea}, J. Math. Pures Appl. (9) 59, 441--464 (1980; Zbl 0438.35036) OpenURL
Kapitanskij, L. V. Group analysis of the Euler and Navier-Stokes equations in the presence of rotational symmetry and new exact solutions of these equations. (English. Russian original) Zbl 0419.35070 Sov. Phys., Dokl. 23, 896-898 (1978); translation from Dokl. Akad. Nauk SSSR 243, 901-904 (1978). MSC: 35Q30 35Q05 76D05 76B99 22E65 PDF BibTeX XML Cite \textit{L. V. Kapitanskij}, Sov. Phys., Dokl. 23, 896--898 (1978; Zbl 0419.35070); translation from Dokl. Akad. Nauk SSSR 243, 901--904 (1978) OpenURL
Mishchenko, A. S.; Fomenko, A. T. Euler equations on finite-dimensional Lie groups. (English) Zbl 0405.58031 Math. USSR, Izv. 12, 371-389 (1978). MSC: 37J99 70E99 22E60 PDF BibTeX XML Cite \textit{A. S. Mishchenko} and \textit{A. T. Fomenko}, Math. USSR, Izv. 12, 371--389 (1978; Zbl 0405.58031) Full Text: DOI OpenURL
Vishik, S. M.; Dolzhanskii, F. V. Analogs of the Euler-Lagrange equations and magnetohydrodynamics connected with Lie groups. (English. Russian original) Zbl 0393.22019 Sov. Math., Dokl. 19, 149-153 (1978); translation from Dokl. Akad. Nauk SSSR 238, 1032-1035 (1978). MSC: 76W05 37N15 22E70 PDF BibTeX XML Cite \textit{S. M. Vishik} and \textit{F. V. Dolzhanskii}, Sov. Math., Dokl. 19, 149--153 (1978; Zbl 0393.22019); translation from Dokl. Akad. Nauk SSSR 238, 1032--1035 (1978) OpenURL
Kalnins, E. G.; Miller, Willard jun. Lie theory and separation of variables. XI: The EPD equation. (English) Zbl 0324.35055 J. Math. Phys. 17, 369-377 (1976). MSC: 35L05 35Q05 22E99 33E15 PDF BibTeX XML Cite \textit{E. G. Kalnins} and \textit{W. Miller jun.}, J. Math. Phys. 17, 369--377 (1976; Zbl 0324.35055) Full Text: DOI OpenURL