Edit Profile (opens in new tab) Marvan, Michal Compute Distance To: Compute Author ID: marvan.michal Published as: Marvan, Michal; Marvan, M. Documents Indexed: 37 Publications since 1984 Reviewing Activity: 96 Reviews Co-Authors: 42 Co-Authors with 19 Joint Publications 1,658 Co-Co-Authors all top 5 Co-Authors 17 single-authored 4 Baran, Hynek 4 Hlaváč, Adam 2 Krasil’shchik, Iosif Semënovich 2 Pavlov, Maxim V. 2 Sergyeyev, Artur 2 Vinogradov, Aleksandr Mikhaĭlovich 2 Yumaguzhin, Valeriy A. 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Blaschke, Petr 1 Bocharov, Alexei V. 1 Bukhshtaber, Viktor Matveevich 1 Catalano Ferraioli, Diego 1 Chetverikov, Vladimir N. 1 Fuchs, Dmitry Borisovich 1 Helemskii, Alexander Ya. 1 Igonin, Sergeĭ Aleksandrovich 1 Kac, Victor G. 1 Khor’kova, Nina Grigor’evna 1 Kosmann-Schwarzbach, Yvette 1 Krasil’shchik, Joseph 1 Krichever, Igor’ Moiseevich 1 Krishchenko, Alexander P. 1 Lando, Sergei K. 1 Lychagin, Valentin V. 1 Maslov, Viktor Pavlovich 1 Mishchenko, Aleksandr Sergeevich 1 Novikov, Sergeĭ Petrovich 1 Pobořil, M. 1 Rubtsov, Vladimir Nikolaevich 1 Samokhin, Alexey V. 1 Schwarz, Albert S. 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Stasheff, James D. 1 Stolín, Oldřich 1 Vasil’ev, Viktor Anatol’evich 1 Verbovetsky, Alexander Moiseevich 1 Vershik, Anatoliĭ Moiseevich 1 Veselov, Alexander Petrovich 1 Vinogradov, Michael M. 1 Vitagliano, Luca 1 Vitolo, Raffaele F. 1 Voronov, Theodore all top 5 Serials 5 Acta Applicandae Mathematicae 4 Journal of Geometry and Physics 2 Journal of Physics A: Mathematical and General 2 Journal of Mathematical Sciences (New York) 2 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Russian Mathematical Surveys 1 Wave Motion 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archivum Mathematicum 1 Doklady Mathematics 1 Foundations of Computational Mathematics 1 Central European Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Fields 23 Partial differential equations (35-XX) 17 Dynamical systems and ergodic theory (37-XX) 12 Global analysis, analysis on manifolds (58-XX) 8 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 204 times in 109 Documents Cited by ▼ Year ▼ On zero-curvature representations of partial differential equations. Zbl 0813.58056Marvan, Michal 23 1993 Another look on recursion operators. Zbl 0870.58106Marvan, Michal 23 1996 On the horizontal gauge cohomology and nonremovability of the spectral parameter. Zbl 1192.58012Marvan, Michal 20 2002 Recursion operators for dispersionless integrable systems in any dimension. Zbl 1234.35314Marvan, M.; Sergyeyev, A. 18 2012 Sufficient set of integrability conditions of an orthonomic system. Zbl 1180.35381Marvan, Michal 14 2009 On the spectral parameter problem. Zbl 1198.37094Marvan, Michal 13 2010 Recursion operator for the stationary Nizhnik-Veselov-Novikov equation. Zbl 1039.37055Marvan, Michal; Sergyeyev, A. 12 2003 Reducibility of zero curvature representations with application to recursion operators. Zbl 1063.37066Marvan, Michal 10 2004 A direct procedure to compute zero-curvature representations. Zbl 0973.35013Marvan, Michal 7 1997 Some local properties of Bäcklund transformations. Zbl 0924.58113Marvan, Michal 6 1998 On integrability of Weingarten surfaces: a forgotten class. Zbl 1189.53006Baran, Hynek; Marvan, Michal 6 2009 Scalar second-order evolution equations possessing an irreducible \(sl_ 2\)-valued zero-curvature representation. Zbl 1040.37059Marvan, Michal 5 2002 Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1129.58015Marvan, Michal; Vinogradov, Alexandre M.; Yumaguzhin, Valery A. 5 2007 Recursion operators for vacuum Einstein equations with symmetries. Zbl 1097.83507Marvan, Michal 5 2004 Coverings and integrability of the Gauss-Mainardi-Codazzi equations. Zbl 0939.35161Krasil’shchik, Joseph; Marvan, Michal 4 1999 On covarieties of coalgebras. Zbl 0577.18004Marvan, Michal 4 1985 Classification of integrable Weingarten surfaces possessing an \(\mathfrak{sl}(2)\)-valued zero curvature representation. Zbl 1204.53004Baran, Hynek; Marvan, Michal 3 2010 A conjecture concerning nonlocal terms of recursion operators. Zbl 1149.37321Baran, H.; Marvan, Michal 3 2008 Another integrable case in two-dimensional plasticity. Zbl 1332.35326Hlaváč, Adam; Marvan, Michal 3 2013 A reciprocal transformation for the constant astigmatism equation. Zbl 1296.53018Hlaváč, Adam; Marvan, Michal 3 2014 On the \({\mathcal C}\)-spectral sequence with “general” coefficients. Zbl 0790.55013Marvan, Michal 2 1990 Nonlocal conservation laws of the constant astigmatism equation. Zbl 1364.37142Hlaváč, Adam; Marvan, Michal 2 2017 Recursion operator for the intrinsic generalized sine-Gordon equation. Zbl 1149.37324Marvan, Michal; Pobořil, M. 2 2008 On global Lepagean equivalents. Zbl 0572.58009Marvan, Michal 2 1984 On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system. Zbl 1309.37058Igonin, Sergei; Marvan, Michal 2 2014 A new class of solutions for the multi-component extended Harry Dym equation. Zbl 07213196Marvan, Michal; Pavlov, Maxim V. 1 2017 Geometric aspects of S-integrability. Zbl 1020.58025Marvan, Michal 1 2000 On local equivalence problem of space-times with two orthogonally transitive commuting Killing fields. Zbl 1153.81401Marvan, Michal; Stolín, O. 1 2008 Sufficient set of integrability conditions of an orthonomic system. Zbl 1180.37095Marvan, Michal 1 2006 On Lipschitz solutions of the constant astigmatism equation. Zbl 1298.35173Hlaváč, Adam; Marvan, Michal 1 2014 Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1133.35407Vinogradov, A. M.; Marvan, Michal; Yumaguzhin, V. A. 1 2005 On symmetries of the Gibbons-Tsarev equation. Zbl 1423.35015Baran, H.; Blaschke, P.; Krasil’shchik, I. S.; Marvan, M. 1 2019 On symmetries of the Gibbons-Tsarev equation. Zbl 1423.35015Baran, H.; Blaschke, P.; Krasil’shchik, I. S.; Marvan, M. 1 2019 Nonlocal conservation laws of the constant astigmatism equation. Zbl 1364.37142Hlaváč, Adam; Marvan, Michal 2 2017 A new class of solutions for the multi-component extended Harry Dym equation. Zbl 07213196Marvan, Michal; Pavlov, Maxim V. 1 2017 A reciprocal transformation for the constant astigmatism equation. Zbl 1296.53018Hlaváč, Adam; Marvan, Michal 3 2014 On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system. Zbl 1309.37058Igonin, Sergei; Marvan, Michal 2 2014 On Lipschitz solutions of the constant astigmatism equation. Zbl 1298.35173Hlaváč, Adam; Marvan, Michal 1 2014 Another integrable case in two-dimensional plasticity. Zbl 1332.35326Hlaváč, Adam; Marvan, Michal 3 2013 Recursion operators for dispersionless integrable systems in any dimension. Zbl 1234.35314Marvan, M.; Sergyeyev, A. 18 2012 On the spectral parameter problem. Zbl 1198.37094Marvan, Michal 13 2010 Classification of integrable Weingarten surfaces possessing an \(\mathfrak{sl}(2)\)-valued zero curvature representation. Zbl 1204.53004Baran, Hynek; Marvan, Michal 3 2010 Sufficient set of integrability conditions of an orthonomic system. Zbl 1180.35381Marvan, Michal 14 2009 On integrability of Weingarten surfaces: a forgotten class. Zbl 1189.53006Baran, Hynek; Marvan, Michal 6 2009 A conjecture concerning nonlocal terms of recursion operators. Zbl 1149.37321Baran, H.; Marvan, Michal 3 2008 Recursion operator for the intrinsic generalized sine-Gordon equation. Zbl 1149.37324Marvan, Michal; Pobořil, M. 2 2008 On local equivalence problem of space-times with two orthogonally transitive commuting Killing fields. Zbl 1153.81401Marvan, Michal; Stolín, O. 1 2008 Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1129.58015Marvan, Michal; Vinogradov, Alexandre M.; Yumaguzhin, Valery A. 5 2007 Sufficient set of integrability conditions of an orthonomic system. Zbl 1180.37095Marvan, Michal 1 2006 Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1133.35407Vinogradov, A. M.; Marvan, Michal; Yumaguzhin, V. A. 1 2005 Reducibility of zero curvature representations with application to recursion operators. Zbl 1063.37066Marvan, Michal 10 2004 Recursion operators for vacuum Einstein equations with symmetries. Zbl 1097.83507Marvan, Michal 5 2004 Recursion operator for the stationary Nizhnik-Veselov-Novikov equation. Zbl 1039.37055Marvan, Michal; Sergyeyev, A. 12 2003 On the horizontal gauge cohomology and nonremovability of the spectral parameter. Zbl 1192.58012Marvan, Michal 20 2002 Scalar second-order evolution equations possessing an irreducible \(sl_ 2\)-valued zero-curvature representation. Zbl 1040.37059Marvan, Michal 5 2002 Geometric aspects of S-integrability. Zbl 1020.58025Marvan, Michal 1 2000 Coverings and integrability of the Gauss-Mainardi-Codazzi equations. Zbl 0939.35161Krasil’shchik, Joseph; Marvan, Michal 4 1999 Some local properties of Bäcklund transformations. Zbl 0924.58113Marvan, Michal 6 1998 A direct procedure to compute zero-curvature representations. Zbl 0973.35013Marvan, Michal 7 1997 Another look on recursion operators. Zbl 0870.58106Marvan, Michal 23 1996 On zero-curvature representations of partial differential equations. Zbl 0813.58056Marvan, Michal 23 1993 On the \({\mathcal C}\)-spectral sequence with “general” coefficients. Zbl 0790.55013Marvan, Michal 2 1990 On covarieties of coalgebras. Zbl 0577.18004Marvan, Michal 4 1985 On global Lepagean equivalents. Zbl 0572.58009Marvan, Michal 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 82 Authors 21 Morozov, Oleg I. 14 Krasil’shchik, Iosif Semënovich 10 Sergyeyev, Artur 8 Marvan, Michal 8 Vojčák, Petr 7 Baran, Hynek 4 Igonin, Sergeĭ Aleksandrovich 4 Sheftel, Mikhail B. 4 Vinogradov, Aleksandr Mikhaĭlovich 4 Yazıcı, Devrim 3 Chetverikov, Vladimir N. 3 Hlaváč, Adam 3 Kaptsov, Oleg Viktorovich 3 Kiselev, Arthemy V. 3 Krutov, Andrey Olegovich 3 Manno, Gianni 3 Popovych, Roman O. 3 Sakovich, Sergei Yu. 3 Verbovetsky, Alexander Moiseevich 2 Balandin, Alexander V. 2 Boreale, Michele 2 Catalano Ferraioli, Diego 2 Cieśliński, Jan L. 2 Kobus, Artur 2 Krasil’shchik, Joseph 2 Kruglikov, Boris S. 2 Kunzinger, Michael 2 Lelito, Aleksandra 2 Reyes, Enrique G. 2 Sebestyen, Peter 2 Vitolo, Raffaele F. 1 Bächtold, Michael Johannes 1 Blaschke, Petr 1 Błaszak, Maciej 1 Bogdanov, Leonid Vital’evich 1 Cai, Liqiang 1 Calderbank, David M. J. 1 Callebaut, Dirk K. 1 Cheng, Jipeng 1 de Lucas, Javier 1 de Oliveira Silva, L. A. 1 De Paris, Alessandro 1 Demskoi, Dmitry K. 1 Fernández Martínez, Antonio 1 Ganchev, Georgi T. 1 García, Pedro Luis 1 Gessler, Dmitri 1 Gharib, Gharib M. 1 Goncharovskii, M. M. 1 Grundland, Alfred Michel 1 Gubbiotti, Giorgio 1 Guilfoyle, Brendan S. 1 Gumm, Heinz-Peter 1 Guo, Leilei 1 Huang, Jizheng 1 Jugnia, Celestin Nkuimi 1 Kardell, Marcus 1 Khater, Ahmed H. 1 Kianpi, Maurice 1 Klingenberg, Wilhelm jun. 1 Levi, Decio 1 López Camino, Rafael 1 Malykh, Andrei A. 1 Mihova, Vesselka 1 Pámpano, Álvaro 1 Pavlov, Maxim V. 1 Pobořil, M. 1 Pugliese, Fabrizio 1 Robaszewska, Maria 1 Rodrigo, César 1 Rossi, Olga 1 Rutten, Jan J. M. M. 1 Sayed, S. M. 1 Scimiterna, Christian 1 Shirokov, Igor’ Viktorovich 1 Sichler, Jiří Jan 1 Skurativskyi, Sergii 1 Sophocleous, Christodoulos 1 Trnková, Věra 1 Vaneeva, Olena O. 1 Vladimirov, Vsevolod A. 1 Zhang, Zhiyong all top 5 Cited in 41 Serials 26 Journal of Geometry and Physics 8 Acta Applicandae Mathematicae 6 Theoretical and Mathematical Physics 6 Journal of Nonlinear Mathematical Physics 5 Differential Geometry and its Applications 4 Journal of Mathematical Physics 4 Journal of Mathematical Sciences (New York) 4 Central European Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Communications in Nonlinear Science and Numerical Simulation 2 Letters in Mathematical Physics 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Theoretical Computer Science 2 Lobachevskii Journal of Mathematics 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Analysis and Mathematical Physics 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Programming and Computer Software 1 Results in Mathematics 1 Information and Computation 1 Applied Mathematics Letters 1 Calculus of Variations and Partial Differential Equations 1 Selecta Mathematica. New Series 1 Doklady Mathematics 1 Foundations of Computational Mathematics 1 Journal of Algebra and its Applications 1 International Journal of Geometric Methods in Modern Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Nonlinear Phenomena in Complex Systems (Minsk) 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SN Partial Differential Equations and Applications all top 5 Cited in 23 Fields 69 Partial differential equations (35-XX) 63 Dynamical systems and ergodic theory (37-XX) 32 Global analysis, analysis on manifolds (58-XX) 21 Differential geometry (53-XX) 8 Mechanics of particles and systems (70-XX) 7 Computer science (68-XX) 5 Relativity and gravitational theory (83-XX) 4 Algebraic geometry (14-XX) 4 Nonassociative rings and algebras (17-XX) 4 Quantum theory (81-XX) 3 Fluid mechanics (76-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year