Profil zaměstnance

List of publications

• M. Marvan, Matching van Stockum dust to Papapetrou vacuum, J. Geom. Phys. 190 (2023) 104878.
• 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.
• M. Marvan and M.V. Pavlov, Integrable dispersive chains and their multi-phase solutions, Lett. Math. Phys. 109 (2019) 1219–1245.
• 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.
• A. Hlaváč and M. Marvan, Nonlocal conservation laws of the constant astigmatism equation, J. Geom. Phys. 113 (2017) 117–130.
• A. Hlaváč and M. Marvan, A reciprocal transformation for the constant astigmatism equation, SIGMA 10 (2014) 091, pp. 20.
• A. Hlaváč and M. Marvan, On Lipschitz solutions of the constant astigmatism equation, J. Geom. Phys. 85 (2014) 88–98.
• 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.
• A. Hlaváč and M. Marvan, Another integrable case in two-dimensional plasticity, J. Phys. A: Math. Theor. 46 (2013) 045203.
• M. Marvan and A. Sergyeyev, Recursion operators for dispersionless integrable systems in any dimension, Inverse Problems 28 (2012) 025011.
• H. Baran and M. Marvan, Classification of integrable Weingarten surfaces possessing an sl(2)-valued zero curvature representation, Nonlinearity, 23 (2010) 2577–2597.
• M. Marvan, On the spectral parameter problem, Acta Appl. Math. 109 (2010) 239–255.
• H. Baran and M. Marvan, On integrability of Weingarten surfaces: a forgotten class J. Phys. A: Math. Theor. 42 (2009) 404007.
• M. Marvan, Sufficient set of integrability conditions of an orthonomic system, Found. Comput. Math. 9 (2009) 651–674.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• M. Marvan and A. Sergyeyev, Recursion operator for Nizhnik–Novikov–Veselov equation, J. Phys. A: Math. Gen. 36 (2003) L87–L92.
• M. Marvan, Scalar second order evolution equations possessing an irreducible sl₂-valued zero curvature representation, J. Phys. A: Math. Gen. 35 (2002) 9431–9439.
• M. Marvan, On the horizontal gauge cohomology and nonremovability of the spectral parameter, Acta Appl. Math., 72 (2002) 51–65.
• 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.
• 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.
• 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.
• M. Marvan, On covarieties of coalgebras, Arch. Math. (Brno) 21 (1985) 51–64.

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