Edit Profile Olver, Peter John Compute Distance To: Compute Author ID: olver.peter-j Published as: Olver, P.; Olver, P. J.; Olver, Peter; Olver, Peter J. Homepage: http://www-users.math.umn.edu/~olver/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND Documents Indexed: 202 Publications since 1977, including 20 Books all top 5 Co-Authors 74 single-authored 23 Kamran, Niky 11 González-López, Artemio 11 Pohjanpelto, Juha 8 Qu, Changzheng 8 Tannenbaum, Allen Robert 7 Shakiban, Chehrzad 5 Li, Yi A. 5 Liu, Xiaochuan 4 Fels, Mark E. 4 Kang, Jing 4 Rosenau, Philip S. 4 Sapiro, Guillermo 3 Kogan, Irina A. 3 Liu, Yue 3 Valiquette, Francis 3 Winternitz, Pavel 2 Anderson, Ian M. 2 Chen, Gong 2 Clarkson, Peter A. 2 Finkel, Federico 2 Foursov, Mikhail V. 2 Hoff, Daniel J. 2 Kichenassamy, Satyanad 2 Levi, Decio 2 Lewis, Debra 2 Marí Beffa, Gloria 2 McLeod, John Bryce 2 Muriel, Concepción 2 Nutku, Yavuz 2 Sanders, Jan A. 2 Sheils, Natalie E. 2 Sokolov, Vladimir Vyacheslavovich 2 Wang, Jingping 1 Acosta Humánez, Primitivo Belén 1 Adams, Scot 1 Angulo-Umaña, Pedro 1 Arik, Metin 1 Aronson, Donald G. 1 Ball, John M. 1 Benjamin, Thomas Brooke 1 Berchenko, Irina 1 Bloch, Anthony M. 1 Bozhkov, Yuri Dimitrov 1 Brinkman, Daniel 1 Calabi, Eugenio 1 Calder, Jeff 1 Cheh, Jeongoo 1 Chen, Jeongoo 1 Cucker, Felipe 1 Currie, J. C. 1 DeVore, Ronald A. 1 Fernandez, Oscar E. 1 Fokas, Athanassios S. 1 Georgiou, Tryphon T. 1 Gómez-Ullate, David 1 Grinberg, Darij 1 Guha, Partha 1 Gui, Guilong 1 Gunney, Brian T. N. 1 Hatfield, Gary A. 1 Hernández Heredero, Rafael 1 Hessburg, Bo 1 Hubert, Evelyne 1 Hurtubise, Jacques C. 1 Iserles, Arieh 1 Itskov, Vladimir 1 Jodeit, Max jun. 1 Kac, Victor G. 1 Kaup, David J. 1 Kim, Pilwon 1 Kumar, Arun M. 1 Levine, Howard Allen 1 Lewis, Mark Alun 1 Li, Bingtuan 1 Li, Hongbo 1 Lui, Roger 1 Maliakas, Mihalis 1 Malkoun, Joseph 1 Miller, Willard jun. 1 Milson, Robert 1 Neyzi, Fahrünisa 1 Nigam, Nilima 1 O’Neill, Riley C. W. 1 Özer, Teoman 1 Petitot, Michel 1 Polat, Gülden Gün 1 Quispel, Reinout 1 Ramani, Alfred 1 Raphael, Robert M. 1 Reyes, Enrique G. 1 Rodríguez, Miguel Angel 1 Romero, Juan Luis 1 Ruiz, Adrián 1 Santosa, Fatil 1 Sattinger, David H. 1 Shigesada, Nanako 1 Sivaloganathan, Jeyabal 1 Smith, David Andrew 1 Solé, Patrick 1 Sommer, Gerald ...and 13 more Co-Authors all top 5 Serials 7 Journal of Mathematical Physics 6 Advances in Mathematics 6 Acta Applicandae Mathematicae 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Archive for Rational Mechanics and Analysis 5 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 4 Communications in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Advances in Applied Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Journal of Lie Theory 3 Discrete and Continuous Dynamical Systems 3 Regular and Chaotic Dynamics 3 Foundations of Computational Mathematics 3 Graduate Texts in Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Results in Mathematics 2 Journal of Symbolic Computation 2 Differential Geometry and its Applications 2 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Imaging and Vision 2 Selecta Mathematica. New Series 2 Transformation Groups 2 Communications in Contemporary Mathematics 2 Lobachevskii Journal of Mathematics 2 Contemporary Mathematics 2 The IMA Volumes in Mathematics and its Applications 2 London Mathematical Society Lecture Note Series 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Geometric Mechanics 2 Undergraduate Texts in Mathematics 1 American Mathematical Monthly 1 Archives of Mechanics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Journal of Algebra 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Real Analysis Exchange 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Applied Numerical Mathematics 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Nonlinear Science 1 Communications in Analysis and Geometry 1 Symmetry: Culture and Science 1 RIMS Kokyuroku 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Lie Groups and their Applications 1 Journal of Nonlinear Mathematical Physics 1 Portugaliae Mathematica. Nova Série 1 Analysis and Applications (Singapore) 1 CRM Proceedings & Lecture Notes 1 Lecture Notes in Computer Science 1 London Mathematical Society Student Texts 1 SIAM Journal on Imaging Sciences 1 Forum of Mathematics, Sigma 1 Springer Proceedings in Mathematics & Statistics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Applied Algebra and Geometry 1 Journal of Integrable Systems all top 5 Fields 84 Partial differential equations (35-XX) 69 Global analysis, analysis on manifolds (58-XX) 58 Differential geometry (53-XX) 33 Dynamical systems and ergodic theory (37-XX) 27 Topological groups, Lie groups (22-XX) 19 Ordinary differential equations (34-XX) 18 Computer science (68-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Mechanics of particles and systems (70-XX) 13 Nonassociative rings and algebras (17-XX) 13 Numerical analysis (65-XX) 13 Mechanics of deformable solids (74-XX) 13 Fluid mechanics (76-XX) 13 Quantum theory (81-XX) 10 General and overarching topics; collections (00-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 5 Number theory (11-XX) 5 Commutative algebra (13-XX) 5 Operator theory (47-XX) 4 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 3 Field theory and polynomials (12-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Combinatorics (05-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 172 Publications have been cited 6,686 times in 4,633 Documents Cited by ▼ Year ▼ Applications of Lie groups to differential equations. Zbl 0588.22001Olver, Peter J. 1,298 1986 Applications of Lie groups to differential equations. 2nd ed. Zbl 0785.58003Olver, Peter J. 1,098 1993 Noether’s theorems and systems of Cauchy-Kovalevskaya type. Zbl 0656.58039Olver, P. J. 336 1986 Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. Zbl 0958.35119Li, Yi A.; Olver, Peter J. 325 2000 Equivalence, invariants, and symmetry. Zbl 0837.58001Olver, Peter J. 309 1995 Evolution equations possessing infinitely many symmetries. Zbl 0348.35024Olver, Peter J. 189 1977 Moving coframes. II: Regularization and theoretical foundations. Zbl 0937.53013Fels, Mark; Olver, Peter J. 156 1999 Classical invariant theory. Zbl 0971.13004Olver, Peter J. 146 1999 Applications of Lie groups to differential equations. Paperback ed. Zbl 0937.58026Olver, Peter J. 129 2000 Null Lagrangians, weak continuity, and variational problems of arbitrary order. Zbl 0459.35020Ball, J. M.; Currie, J. C.; Olver, P. J. 129 1981 Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng 106 2013 Euler operators and conservation laws of the BBM equation. Zbl 0387.35050Olver, Peter J. 103 1979 Group-invariant solutions of differential equations. Zbl 0621.35007Olver, Peter J.; Rosenau, Philip 83 1987 Moving coframes. I: A practical algorithm. Zbl 0937.53012Fels, Mark; Olver, Peter J. 81 1998 Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. Zbl 0755.76023Kichenassamy, Satyanad; Olver, Peter J. 81 1992 Hamiltonian structure, symmetries and conservation laws for water waves. Zbl 0511.76020Benjamin, T. Brooke; Olver, P. J. 77 1982 The construction of special solutions to partial differential equations. Zbl 0937.35501Olver, Peter; Rosenau, Philip 75 1986 Integrable evolution equations on associative algebras. Zbl 0908.35124Olver, Peter J.; Sokolov, Vladimir V. 68 1998 Generating differential invariants. Zbl 1124.53006Olver, Peter J. 61 2007 Differential invariants of conformal and projective surfaces. Zbl 1141.53010Hubert, Evelyne; Olver, Peter J. 52 2007 Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons. Zbl 0949.35118Li, Y. A.; Olver, P. J. 50 1997 Direct reduction and differential constraints. Zbl 0814.35003Olver, Peter J. 49 1994 Symmetry groups and path-independent integrals. Zbl 0591.73024Olver, P. J. 48 1985 Moving frames: a brief survey. Zbl 1076.53018Olver, Peter J. 45 2001 Applications of Lie groups to differential equations. (Prilozheniya grupp Li k differentsial’nym uravneniyam). Transl. from the English I. G. Shcherbak. Transl. ed. and with a preface by A. B. Shabat. Zbl 0743.58003Olver, P. 41 1989 Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators. Zbl 0767.35052González-López, Artemio; Kamran, Niky; Olver, Peter J. 39 1993 Symmetry and the Chazy equation. Zbl 0842.34010Clarkson, Peter A.; Olver, Peter J. 38 1996 The connection between partial differential equations soluble by inverse scattering and ordinary differential equations of Painleve type. Zbl 0518.35075McLeod, J. B.; Olver, P. J. 36 1983 A nonlinear Hamiltonian structure for the Euler equations. Zbl 0534.76035Olver, Peter J. 36 1982 Invariant Euler–Lagrange equations and the invariant variational bicomplex. Zbl 1034.53015Kogan, Irina A.; Olver, Peter J. 35 2003 Hamiltonian structures for systems of hyperbolic conservation laws. Zbl 0697.35084Olver, Peter J.; Nutku, Yavuz 33 1988 Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions. Zbl 0959.35157Li, Y. A.; Olver, P. J. 32 1998 Lie algebras of vector fields in the real plane. Zbl 0872.17022González-López, Artemio; Kamran, Niky; Olver, Peter J. 31 1992 On the Hamiltonian structure of evolution equations. Zbl 0445.58012Olver, Peter J. 31 1980 On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu 30 2014 Conformal curvature flows: from phase transitions to active vision. Zbl 0937.53029Kichenassamy, Satyanad; Kumar, Arun; Olver, Peter; Tannenbaum, Allen; Yezzi, Anthony jun. 30 1996 Lie algebras of differential operators and Lie-algebraic potentials. Zbl 0693.34021Kamran, Niky; Olver, Peter J. 30 1990 Invariant submanifold flows. Zbl 1146.53040Olver, Peter J. 29 2008 Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics. Zbl 0582.73024Olver, Peter J. 29 1984 Moving frames for Lie pseudo-groups. Zbl 1160.53006Olver, Peter J.; Pohjanpelto, Juha 28 2008 Hamiltonian perturbation theory and water waves. Zbl 0521.76018Olver, Peter 28 1984 Joint invariant signatures. Zbl 1001.53004Olver, Peter J. 27 2001 Internal, external, and generalized symmetries. Zbl 0809.58044Anderson, Ian M.; Kamran, Niky; Olver, Peter J. 26 1993 Geometric foundations of numerical algorithms and symmetry. Zbl 0982.65135Olver, Peter J. 24 2001 Differential invariant algebras of Lie pseudo-groups. Zbl 1194.58018Olver, Peter J.; Pohjanpelto, Juha 22 2009 On multivariate interpolation. Zbl 1145.41311Olver, Peter J. 22 2006 Lie algebras of differential operators in two complex variables. Zbl 0781.17011González-López, Artemio; Kamran, Niky; Olver, Peter J. 20 1992 Multi-Hamiltonian structure of the Born-Infeld equation. Zbl 0850.70173Arik, Metin; Neyzi, Fahrünisa; Nutku, Yavuz; Olver, Peter J.; Verosky, John M. 20 1989 Conservation laws in elasticity. I: General results. Zbl 0559.73019Olver, Peter J. 20 1984 Maurer-Cartan forms and the structure of Lie pseudo-groups. Zbl 1091.58014Olver, Peter J.; Pohjanpelto, Juha 19 2005 Classification of integrable one-component systems on associative algebras. Zbl 1033.37035Olver, Peter J.; Wang, Jing Ping 18 2000 Variational \(C^{\infty}\)-symmetries and Euler–Lagrange equations. Zbl 1085.70016Muriel, C.; Romero, J. L.; Olver, P. J. 17 2006 Geometric integration via multi-space. Zbl 1068.65092Kim, Pilwon; Olver, Peter J. 17 2004 Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038Kamran, Niky; Milson, Robert; Olver, Peter J. 17 2000 Moving frames and singularities of prolonged group actions. Zbl 0966.57037Olver, Peter J. 17 2000 Conservation laws and null divergences. Zbl 0556.35021Olver, Peter J. 17 1983 Algorithms for differential invariants of symmetry groups of differential equations. Zbl 1183.58016Cheh, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha 16 2008 Non-analytic solutions of nonlinear wave models. Zbl 0940.35176Li, Yi A.; Olver, Peter J.; Rosenau, Philip 16 1999 Hamiltonian and non-Hamiltonian models for water waves. Zbl 0583.76014Olver, Peter J. 16 1984 Applications of Lie groups to differential equations. Lecture Notes. Zbl 0599.58050Olver, Peter J. 16 1980 Introduction to partial differential equations. Zbl 1295.35001Olver, Peter J. 15 2014 Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen 15 1996 Non-associative local Lie groups. Zbl 0862.22005Olver, Peter J. 15 1996 Quasi-exactly solvable Lie algebras of differential operators in two complex variables. Zbl 0760.17021González-López, Artemio; Kamran, Niky; Olver, Peter J. 15 1991 Symmetry groups and group invariant solutions of partial differential equations. Zbl 0437.58024Olver, Peter J. 15 1979 A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121Fokas, A. S.; Olver, P. J.; Rosenau, P. 14 1997 Symmetry and explicit solutions of partial differential equations. Zbl 0777.35017Olver, Peter J. 14 1992 Darboux’ theorem for Hamiltonian differential operators. Zbl 0651.47036Olver, Peter J. 14 1988 Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026Olver, Peter J.; Sanders, Jan A. 13 2000 Equivalence of differential operators. Zbl 0715.47032Kamran, Niky; Olver, Peter J. 13 1989 The structure of null Lagrangians. Zbl 0662.49016Olver, P. J.; Sivaloganathan, J. 13 1988 Invariant theory and differential equations. Zbl 0646.35003Olver, Peter J. 13 1987 Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018Marí Beffa, G.; Olver, P. J. 12 2010 Moving frames and joint differential invariants. Zbl 1014.53013Olver, P. J. 12 1999 Equivalence problems for first order Lagrangians on the line. Zbl 0677.49034Kamran, Niky; Olver, Peter J. 12 1989 Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy. Zbl 1344.37075Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng 11 2016 Recursive moving frames. Zbl 1254.22014Olver, Peter J. 11 2011 Moving frames and differential invariants in centro-affine geometry. Zbl 1260.53024Olver, P. J. 11 2010 Geodesic flow and two (super) component analog of the Camassa-Holm equation. Zbl 1095.53058Guha, Partha; Olver, Peter J. 11 2006 A survey of moving frames. Zbl 1078.53507Olver, Peter J. 11 2005 Symmetries of polynomials. Zbl 0970.15023Berchenko, Irina; Olver, Peter J. 11 2000 Non-abelian integrable systems of the derivative nonlinear Schrödinger type. Zbl 0915.35097Olver, P. J.; Sokolov, V. V. 11 1998 Hyperjacobians, determinantal ideals and weak solutions to variational problems. Zbl 0562.49005Olver, Peter J. 11 1983 Internal symmetries of differential equations. Zbl 0723.58045Olver, Peter J. 10 1991 A resolution of the Euler operator. I. Zbl 0395.49002Olver, Peter J.; Shakiban, Chehrzad 10 1978 Lectures on moving frames. Zbl 1235.53016Olver, Peter J. 9 2011 Differential invariants of surfaces. Zbl 1164.53002Olver, Peter J. 9 2009 Geometric integration algorithms on homogeneous manifolds. Zbl 1018.22017Lewis, Debra; Olver, Peter J. 9 2002 New quasi-exactly solvable Hamiltonians in two dimensions. Zbl 0811.35106González-López, Artemio; Kamran, Niky; Olver, Peter J. 9 1994 Canonical elastic moduli. Zbl 0658.73014Olver, Peter J. 9 1988 On the structure of Lie pseudo-groups. Zbl 1241.58008Olver, Peter J.; Pohjanpelto, Juha; Valiquette, Francis 8 2009 Real Lie algebras of differential operators and quasi-exactly solvable potentials. Zbl 0872.17021González-López, Artemio; Kamran, Niky; Olver, Peter 8 1996 Equivalence and the Cartan form. Zbl 0794.49041Olver, Peter J. 8 1993 Liouville correspondences between integrable hierarchies. Zbl 1366.37133Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng 7 2017 Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng 7 2014 Dispersion of discontinuous periodic waves. Zbl 1371.35246Chen, Gong; Olver, Peter J. 7 2013 Extensions of invariant signatures for object recognition. Zbl 1276.68137Hoff, Daniel J.; Olver, Peter J. 7 2013 Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics, Jairo Charris Seminar 2010, Santa Maria, Colombia, August 2010. Zbl 1234.81013Acosta-Humánez, Primitivo B. (ed.); Finkel, Federico (ed.); Kamran, Niky (ed.); Olver, Peter J. (ed.) 7 2012 Moving frames – in geometry, algebra, computer vision, and numerical analysis. Zbl 0981.53010Olver, Peter J. 7 2001 Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 7 1997 Applied linear algebra. 2nd edition, previously published by Pearson/Prentice Hall 2006. Zbl 1402.15001Olver, Peter J.; Shakiban, Chehrzad 3 2018 Normal forms for submanifolds under group actions. Zbl 1426.22014Olver, Peter J. 1 2018 Prolonged analytic connected group actions are generically free. Zbl 1432.22025Adams, Scot; Olver, Peter J. 1 2018 On the commutator of \(\mathcal C^\infty\)-symmetries and the reduction of Euler-Lagrange equations. Zbl 1391.49018Ruiz, A.; Muriel, C.; Olver, P. J. 1 2018 Liouville correspondences between integrable hierarchies. Zbl 1366.37133Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng 7 2017 Bäcklund transformations for tri-Hamiltonian dual structures of multi-component integrable systems. Zbl 1403.37080Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng 1 2017 Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy. Zbl 1344.37075Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng 11 2016 The symmetry groupoid and weighted signature of a geometric object. Zbl 1341.53027Olver, Peter J. 3 2016 Invariants of objects and their images under surjective maps. Zbl 1332.53021Kogan, I. A.; Olver, P. J. 1 2015 On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu 30 2014 Introduction to partial differential equations. Zbl 1295.35001Olver, Peter J. 15 2014 Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng 7 2014 Automatic solution of jigsaw puzzles. Zbl 1361.68291Hoff, Daniel J.; Olver, Peter J. 6 2014 Numerical simulation of nonlinear dispersive quantization. Zbl 1358.35152Chen, Gong; Olver, Peter J. 3 2014 Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng 106 2013 Dispersion of discontinuous periodic waves. Zbl 1371.35246Chen, Gong; Olver, Peter J. 7 2013 Extensions of invariant signatures for object recognition. Zbl 1276.68137Hoff, Daniel J.; Olver, Peter J. 7 2013 Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics, Jairo Charris Seminar 2010, Santa Maria, Colombia, August 2010. Zbl 1234.81013Acosta-Humánez, Primitivo B. (ed.); Finkel, Federico (ed.); Kamran, Niky (ed.); Olver, Peter J. (ed.) 7 2012 Invariant histograms. Zbl 1266.53003Brinkman, Daniel; Olver, Peter J. 5 2012 Persistence of freeness for Lie pseudogroup actions. Zbl 1260.58010Olver, Peter J.; Pohjanpelto, Juha 3 2012 Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J. 2 2012 Recursive moving frames. Zbl 1254.22014Olver, Peter J. 11 2011 Lectures on moving frames. Zbl 1235.53016Olver, Peter J. 9 2011 Differential invariant algebras. Zbl 1232.53021Olver, Peter J. 6 2011 Lie completion of pseudo-groups. Zbl 1257.22004Itskov, Vladimir; Olver, Peter J.; Valiquette, Francis 5 2011 Pohozhaev and Morawetz identities in elastostatics and elastodynamics. Zbl 1244.35143Bozhkov, Yuri; Olver, Peter J. 2 2011 Symmetries and integrability of difference equations. Based upon lectures delivered during the summer school, Montreal, Canada, June 8–21, 2008. Zbl 1218.39002Levi, Decio (ed.); Olver, Peter (ed.); Thomova, Zora (ed.); Winternitz, Pavel (ed.) 1 2011 Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018Marí Beffa, G.; Olver, P. J. 12 2010 Moving frames and differential invariants in centro-affine geometry. Zbl 1260.53024Olver, P. J. 11 2010 Recent advances in the theory and application of Lie pseudo-groups. Zbl 1330.81112Olver, Peter 1 2010 Differential invariant algebras of Lie pseudo-groups. Zbl 1194.58018Olver, Peter J.; Pohjanpelto, Juha 22 2009 Differential invariants of surfaces. Zbl 1164.53002Olver, Peter J. 9 2009 On the structure of Lie pseudo-groups. Zbl 1241.58008Olver, Peter J.; Pohjanpelto, Juha; Valiquette, Francis 8 2009 Local symplectic invariants for curves. Zbl 1176.53032Kamran, Niky; Olver, Peter; Tenenblat, Keti 5 2009 Equivalence, invariants, and symmetry. Reprint of the 1995 hardback ed. Zbl 1156.58002Olver, Peter J. 5 2009 Invariant submanifold flows. Zbl 1146.53040Olver, Peter J. 29 2008 Moving frames for Lie pseudo-groups. Zbl 1160.53006Olver, Peter J.; Pohjanpelto, Juha 28 2008 Algorithms for differential invariants of symmetry groups of differential equations. Zbl 1183.58016Cheh, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha 16 2008 Moving frames and differential invariants for Lie pseudo-groups. Zbl 1146.58010Olver, Peter; Pohjanpelto, Juha 6 2008 Pseudo-groups, moving frames, and differential invariants. Zbl 1144.58013Olver, Peter J.; Pohjanpelto, Juha 1 2008 Generating differential invariants. Zbl 1124.53006Olver, Peter J. 61 2007 Differential invariants of conformal and projective surfaces. Zbl 1141.53010Hubert, Evelyne; Olver, Peter J. 52 2007 Differential invariants for Lie pseudo-groups. Zbl 1133.58009Olver, Peter; Pohjanpelto, Juha 6 2007 Generalized transvectants and Siegel modular forms. Zbl 1221.11117Olver, P. J.; Petitot, M.; Solé, P. 1 2007 On multivariate interpolation. Zbl 1145.41311Olver, Peter J. 22 2006 Variational \(C^{\infty}\)-symmetries and Euler–Lagrange equations. Zbl 1085.70016Muriel, C.; Romero, J. L.; Olver, P. J. 17 2006 Geodesic flow and two (super) component analog of the Camassa-Holm equation. Zbl 1095.53058Guha, Partha; Olver, Peter J. 11 2006 Applied linear algebra. Zbl 1076.15001Olver, Peter J.; Shakiban, Chehrzad 3 2006 Maurer-Cartan forms and the structure of Lie pseudo-groups. Zbl 1091.58014Olver, Peter J.; Pohjanpelto, Juha 19 2005 A survey of moving frames. Zbl 1078.53507Olver, Peter J. 11 2005 Maurer-Cartan equations for Lie symmetry pseudogroups of differential equations. Zbl 1076.37054Chen, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha 6 2005 Regularity of pseudogroup orbits. Zbl 1136.58304Olver, Peter J.; Pohjanpelto, Juha 2 2005 Computer algebra and geometric algebra with applications. 6th international workshop, IWMM 2004, Shanghai, China, May 19–21, 2004 and international workshop, GIAE 2004, Xian, China, May 24–28, 2004. Revised selected papers. Zbl 1073.68007Li, Hongbo (ed.); Olver, Peter J. (ed.); Sommer, Gerald (ed.) 1 2005 Connections for general group actions. Zbl 1086.58006Lewis, Debra; Nigam, Nilima; Olver, Peter J. 1 2005 Geometric integration via multi-space. Zbl 1068.65092Kim, Pilwon; Olver, Peter J. 17 2004 Nonlocal symmetries and ghosts. Zbl 1072.35193Olver, Peter J. 4 2004 Invariant Euler–Lagrange equations and the invariant variational bicomplex. Zbl 1034.53015Kogan, Irina A.; Olver, Peter J. 35 2003 Moving frames. Zbl 1076.53017Olver, Peter J. 5 2003 Mathematical methods in computer vision. Papers presented at the IMA workshops: “Image processing and low level vision”, October 16–20, 2000, and “Image analysis and high level vision”, November 13–17, 2000, Minneapolis, MN, USA. Zbl 1103.68009Olver, Peter J. (ed.); Tannenbaum, Allen (ed.) 1 2003 Geometric integration algorithms on homogeneous manifolds. Zbl 1018.22017Lewis, Debra; Olver, Peter J. 9 2002 Moving frames: a brief survey. Zbl 1076.53018Olver, Peter J. 45 2001 Joint invariant signatures. Zbl 1001.53004Olver, Peter J. 27 2001 Geometric foundations of numerical algorithms and symmetry. Zbl 0982.65135Olver, Peter J. 24 2001 Moving frames – in geometry, algebra, computer vision, and numerical analysis. Zbl 0981.53010Olver, Peter J. 7 2001 On formal integrability of evolution equations and local geometry of surfaces. Zbl 1019.37044Foursov, Mikhail V.; Olver, Peter J.; Reyes, Enrique G. 6 2001 The invariant variational bicomplex. Zbl 1004.58009Kogan, Irina A.; Olver, Peter J. 2 2001 Classification of symmetry-integrable evolution equations. Zbl 0995.35005Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping 2 2001 Moving frames and coframes. Zbl 1037.53007Fels, Mark; Olver, Peter J. 1 2001 Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. Zbl 0958.35119Li, Yi A.; Olver, Peter J. 325 2000 Applications of Lie groups to differential equations. Paperback ed. Zbl 0937.58026Olver, Peter J. 129 2000 Classification of integrable one-component systems on associative algebras. Zbl 1033.37035Olver, Peter J.; Wang, Jing Ping 18 2000 Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038Kamran, Niky; Milson, Robert; Olver, Peter J. 17 2000 Moving frames and singularities of prolonged group actions. Zbl 0966.57037Olver, Peter J. 17 2000 Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026Olver, Peter J.; Sanders, Jan A. 13 2000 Symmetries of polynomials. Zbl 0970.15023Berchenko, Irina; Olver, Peter J. 11 2000 Moving coframes. II: Regularization and theoretical foundations. Zbl 0937.53013Fels, Mark; Olver, Peter J. 156 1999 Classical invariant theory. Zbl 0971.13004Olver, Peter J. 146 1999 Non-analytic solutions of nonlinear wave models. Zbl 0940.35176Li, Yi A.; Olver, Peter J.; Rosenau, Philip 16 1999 Moving frames and joint differential invariants. Zbl 1014.53013Olver, P. J. 12 1999 Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 6 1999 Differential invariants for parametrized projective surfaces. Zbl 0949.53012Marí Beffa, Gloria; Olver, Peter J. 4 1999 Solitary waves in the critical surface-tension model. Zbl 0934.76012Gunney, Brian T. N.; Li, Yi A.; Olver, Peter J. 1 1999 Moving coframes. I: A practical algorithm. Zbl 0937.53012Fels, Mark; Olver, Peter J. 81 1998 Integrable evolution equations on associative algebras. Zbl 0908.35124Olver, Peter J.; Sokolov, Vladimir V. 68 1998 Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions. Zbl 0959.35157Li, Y. A.; Olver, P. J. 32 1998 Non-abelian integrable systems of the derivative nonlinear Schrödinger type. Zbl 0915.35097Olver, P. J.; Sokolov, V. V. 11 1998 Canonical forms and conservation laws in linear elastostatics. Zbl 0940.74008Hatfield, G.; Olver, P. J. 2 1998 Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons. Zbl 0949.35118Li, Y. A.; Olver, P. J. 50 1997 A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121Fokas, A. S.; Olver, P. J.; Rosenau, P. 14 1997 Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 7 1997 On relative invariants. Zbl 0877.57019Fels, Mark; Olver, Peter J. 3 1997 Quasi-exact solvability in the real domain. Zbl 0905.17024González-López, A.; Kamran, N.; Olver, P. J. 1 1997 Symmetry and the Chazy equation. Zbl 0842.34010Clarkson, Peter A.; Olver, Peter J. 38 1996 Conformal curvature flows: from phase transitions to active vision. Zbl 0937.53029Kichenassamy, Satyanad; Kumar, Arun; Olver, Peter; Tannenbaum, Allen; Yezzi, Anthony jun. 30 1996 Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen 15 1996 Non-associative local Lie groups. Zbl 0862.22005Olver, Peter J. 15 1996 Real Lie algebras of differential operators and quasi-exactly solvable potentials. Zbl 0872.17021González-López, Artemio; Kamran, Niky; Olver, Peter 8 1996 Lie algebras of differential operators and partial integrability. Zbl 0928.58035Finkel, Federico; González-López, Artemio; Kamran, Niky; Olver, Peter J.; Rodríguez, Miguel A. 3 1996 Classification of invariant wave equations. Zbl 0871.35005Hernández Heredero, Rafael; Olver, Peter J. 1 1996 Equivalence, invariants, and symmetry. Zbl 0837.58001Olver, Peter J. 309 1995 ...and 72 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,513 Authors 69 Olver, Peter John 59 Qu, Changzheng 52 Khalique, Chaudry Masood 47 Kara, Abdul Hamid 46 Gandarias Núñez, Maria Luz 42 Bruzón, Maria Santos 40 Yin, Zhaoyang 39 Popovych, Roman O. 38 Sophocleous, Christodoulos 37 Mahomed, Fazal M. 33 Li, Jibin 32 Anco, Stephen C. 31 Ma, Wen-Xiu 30 Gaeta, Giuseppe 30 Liu, Yue 28 Nadjafikhah, Mehdi 28 Wazwaz, Abdul-Majid Abdul-Rahman 27 Zhang, Hongqing 26 Leach, Peter Gavin Lawrence 25 Llibre, Jaume 25 Özer, Teoman 24 Tian, Lixin 24 Winternitz, Pavel 23 Bluman, George W. 22 Freire, Igor Leite 22 Govinder, Keshlan Sathasiva 20 Himonas, A. Alexandrou 20 Liu, Hanze 20 Qiao, Zhijun 18 Hernández-Bermejo, Benito 18 Kamran, Niky 18 Lai, Shaoyong 18 Oliveri, Francesco 18 Zhdanov, Renat Z. 17 Bihlo, Alexander 17 Cheviakov, Alexei F. 17 Clarkson, Peter A. 17 Moitsheki, Raseelo J. 17 Sergyeyev, Artur 17 Valiquette, Francis 17 Wang, Jingping 16 Cherniha, Roman M. 16 Meleshko, Sergey V. 16 Morozov, Oleg I. 16 Nucci, Maria Clara 15 Anderson, Ian M. 15 Chen, Yong 15 Grundland, Alfred Michel 15 Guha, Partha 15 Mansfield, Elizabeth Louise 15 Sahadevan, Ramajayam 15 Vulpe, Nicolae I. 14 Biswas, Anjan 14 Bozhkov, Yuri Dimitrov 14 Dağ, İdris 14 Gordoa, Pilar Ruiz 14 Morando, Paola 14 Mustafa, Muhammad Tahir 14 Pickering, Andrew 14 Shen, Shoufeng 13 Bokhari, Ashfaque H. 13 Cicogna, Giampaolo 13 Fu, Ying 13 Fushchych, Vil’gel’m Illich 13 Hu, Qiaoyi 13 Kumar, Sachin 13 Lakshmanan, Muthusamy 13 Lou, Senyue 13 Marí Beffa, Gloria 13 Naeem, Imran 13 Pohjanpelto, Juha 13 Reyes, Enrique G. 13 Senthilvelan, Murugaian 13 Tracinà, Rita 13 Vitolo, Raffaele F. 13 Zhang, Zhiyong 12 Fokas, Athanassios S. 12 Ivanova, Nataliya M. 12 Liu, Xingxing 12 Mu, Chunlai 12 Vaneeva, Olena O. 12 Zaman, Fiazud Din 12 Zhou, Shouming 11 Azad, Hassan 11 Dorodnitsyn, Vladimir A. 11 Jamal, Sameerah 11 Kozlov, Roman 11 Luo, Shaokai 11 Mikula, Karol 11 Muriel, Concepción 11 Rosenhaus, Vladimir 11 Sanders, Jan A. 11 Smirnov, Roman G. 11 Yan, Wei 11 Zharinov, Victor Victorovich 10 Carillo, Sandra 10 Huang, Dingjiang 10 Kudryashov, Nikolaĭ Alekseevich 10 Li, Yongsheng 10 Mi, Yongsheng ...and 4,413 more Authors all top 5 Cited in 487 Serials 313 Journal of Mathematical Physics 201 Applied Mathematics and Computation 194 Journal of Mathematical Analysis and Applications 134 Journal of Nonlinear Mathematical Physics 117 Physics Letters. 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