Profil zaměstnance

List of publications

• M. Marvan, On integrable nets in general and concordant Chebyshev nets in particular, SIGMA 21 (2025) 029, pp. 34, doi:10.3842/SIGMA.2025.029
• M. Marvan, Matching van Stockum dust to Papapetrou vacuum, J. Geom. Phys. 190 (2023) 104878, doi:10.1016/j.geomphys.2023.104878; poster
• D. Catalano Ferraioli and M. Marvan, The equivalence problem for generic four-dimensional metrics with two commuting Killing vectors, Ann. Mat. Pura Appl. 199 (2020) 1343–1380, doi:10.1007/s10231-019-00924-y
• H. Baran, P. Blaschke, I.S. Krasil’shchik and M. Marvan, On symmetries of the Gibbons–Tsarev equation, J. Geom. Phys. 144 (2019) 54–80, doi:10.1016/j.geomphys.2019.05.011
• M. Marvan and M.V. Pavlov, Integrable dispersive chains and their multi-phase solutions, Lett. Math. Phys. 109 (2019) 1219–1245, doi:10.1007/s11005-018-1138-0
• M. Marvan and M.V. Pavlov, A new class of solutions for the multi-component extended Harry Dym equation, Wave Motion 74 (2017) 151–158, doi:10.1016/j.wavemoti.2017.07.007
• A. Hlaváč and M. Marvan, Nonlocal conservation laws of the constant astigmatism equation, J. Geom. Phys. 113 (2017) 117–130, doi:10.1016/j.geomphys.2016.06.002
• A. Hlaváč and M. Marvan, A reciprocal transformation for the constant astigmatism equation, SIGMA 10 (2014) 091, pp. 20, doi:10.3842/sigma.2014.091
• A. Hlaváč and M. Marvan, On Lipschitz solutions of the constant astigmatism equation, J. Geom. Phys. 85 (2014) 88–98, doi:10.1016/j.geomphys.2014.05.020
• S. Igonin and M. Marvan, On construction of symmetries and recursion operators from zero-curvature representations and the Darboux–Egoroff system, J. Geom. Phys. 85 (2014) 106–123, doi:10.1016/j.geomphys.2014.05.017
• A. Hlaváč and M. Marvan, Another integrable case in two-dimensional plasticity, J. Phys. A: Math. Theor. 46 (2013) 045203, doi:10.1088/1751-8113/46/4/045203
• M. Marvan and A. Sergyeyev, Recursion operators for dispersionless integrable systems in any dimension, Inverse Problems 28 (2012) 025011, doi:10.1088/0266-5611/28/2/025011
• H. Baran and M. Marvan, Classification of integrable Weingarten surfaces possessing an sl(2)-valued zero curvature representation, Nonlinearity, 23 (2010) 2577–2597, doi:10.1088/0951-7715/23/10/013
• M. Marvan, On the spectral parameter problem, Acta Appl. Math. 109 (2010) 239–255, doi:10.1007/s10440-009-9450-4
• H. Baran and M. Marvan, On integrability of Weingarten surfaces: a forgotten class J. Phys. A: Math. Theor. 42 (2009) 404007, doi:10.1088/1751-8113/42/40/404007
• M. Marvan, Sufficient set of integrability conditions of an orthonomic system, Found. Comput. Math. 9 (2009) 651–674, doi:10.1007/s10208-008-9039-8
• M. Marvan and O. Stolín, On local equivalence problem of spacetimes with two orthogonally transitive commuting Killing fields, J. Math. Phys. 49 (2008), no. 2, 022503, doi:10.1063/1.2831904
• M. Marvan, A.M. Vinogradov and V.A. Yumaguzhin, Differential invariants of generic hyperbolic Monge–Ampère equations, Cent. Eur. J. Math. 5 (2007) 105–133, doi:10.2478/s11533-006-0043-4
• M. Marvan and M. Pobořil, Recursion operator for the intrinsic generalized sine-Gordon equation, Fundam. Prikl. Mat. 12 (2006) (7) 117–128 (in Russian); English translation: J. Math. Sci. (N. Y.) 151 (2008) 3151–3158, doi:10.1007/s10958-008-9024-4
• H. Baran and M. Marvan, A conjecture concerning nonlocal terms of recursion operators, Fundam. Prikl. Mat. 12 (2006) (7) 23–33 (in Russian); English translation: J. Math. Sci. (N.Y.) 151 (2008) 3083–3090, doi:10.1007/s10958-008-9030-6
• M. Marvan, Sufficient set of integrability conditions of an orthonomic system: Extended abstract, in: J. Calmet, W.M. Seiler and R.W. Tucker (eds.), Global Integrability of Field Theories, Proc. GIFT 2006, Cockcroft Inst., Daresbury, November 1–3, 2006 (Universitätsverlag, Karlsruhe, 2006), 243–247, doi:10.1007/s10958-008-9030-6
• M. Marvan, A.M. Vinogradov and V.A. Yumaguzhin, Differential invariants of generic hyperbolic Monge–Ampère equations, Russian Acad. Sci. Dokl. Math. 405 (2005) 299–301 (in Russian); English translation: Doklady Mathematics 72 (2005) 883–885,
• M. Marvan, Recursion operators for the Einstein equations with symmetries, in: Proc. Inst. Math. NAS Ukraine 50 (2004), Part I, 179–183, Proc. Conf. Symmetry in Nonlinear Mathematical Physics, Kyiv, Ukraine, June 23–28, 2003
• M. Marvan, Reducibility of zero curvature representations with application to recursion operators, Acta Appl. Math., 83 (2004) 39–68, doi:10.1023/B:ACAP.0000035588.67805.0b
• M. Marvan and A. Sergyeyev, Recursion operator for Nizhnik–Novikov–Veselov equation, J. Phys. A: Math. Gen. 36 (2003) L87–L92, doi:10.1088/0305-4470/36/5/102
• M. Marvan, Scalar second order evolution equations possessing an irreducible sl₂-valued zero curvature representation, J. Phys. A: Math. Gen. 35 (2002) 9431–9439, doi:10.1088/0305-4470/35/44/312
• M. Marvan, On the horizontal gauge cohomology and nonremovability of the spectral parameter, Acta Appl. Math., 72 (2002) 51–65, doi:10.1023/A:1015218422059
• M. Marvan, Geometric aspects of S-integrability, in: Proc. Seminar Diff. Geom., Math. Publ. 2 (Silesian University, Opava, 2000) 131–144
• I.S. Krasil'shchik and M. Marvan, Coverings and integrability of the Gauss-Mainardi-Codazzi equations, Acta Appl. Math. 56 (1999) 217–230, doi:10.1023/A:1006121716159
• M. Marvan, A direct procedure to compute zero-curvature representations. The case sl₂, in: Proc. Conf. Secondary Calculus and Cohomological Physics, Moscow, Aug. 24–31, 1997
• M. Marvan, Some local properties of Bäcklund transformations, Acta Appl. Math. 54 (1998) 1–25, doi:10.1023/A:1006037726082
• M. Marvan, Another look on recursion operators, in: Differential Geometry and Applications, Proc. Conf. Brno, 1995 (Masaryk University, Brno, 1996) 393–402
• M. Marvan, On zero curvature representations of partial differential equations, in: Differential Geometry and Its Applications, Proc. Conf. Opava, Czechoslovakia, Aug. 24–28, 1992, Math. Publ. 1 (Silesian University, Opava, 1993) 103–122
• M. Marvan, On the C-spectral sequence with "general" coefficients, in: Differential Geometry and Its Applications, Proc. Conf. Brno, Czechoslovakia, Aug. 27–Sept. 2, 1989 (World Scientific, Singapore, 1990) 361–371
• M. Marvan, On the horizontal cohomology with general coefficients, Rend. Circ. Mat. Palermo Ser. II, 22 (1989) Suppl., 161–170
• M. Marvan, A note on the category of partial differential equations, in: Differential Geometry and its Applications (Communications), Proc. Conf. Brno, Czechoslovakia, Aug. 24–30, 1986 (J.E. Purkyně Univ., Brno, 1987) 235–244
• M. Marvan, On global Lepagean equivalents, in: Geometrical Methods in Physics, Proc. Conf. on Differential Geometry and its Applications, Nové Město na Moravě, Sept. 5–9, 1983 (J.E. Purkyně Univ., Brno, 1984) 185–190 download
• M. Marvan, On covarieties of coalgebras, Arch. Math. (Brno) 21 (1985) 51–64, doi:10338.dmlcz/107215

M. Marvan, Horizontal cohomology with general coefficients, thesis.