Edit Profile (opens in new tab) Olver, Peter John Compute Distance To: Compute Author ID: olver.peter-j Published as: Olver, Peter J.; Olver, P. J.; Olver, Peter; Olver, P. more...less Homepage: http://www-users.math.umn.edu/~olver/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 196 Publications since 1977, including 11 Books 10 Contributions as Editor · 1 Further Contribution Co-Authors: 114 Co-Authors with 129 Joint Publications 3,080 Co-Co-Authors all top 5 Co-Authors 75 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 Smith, David Andrew 2 Sokolov, Vladimir Vyacheslavovich 2 Wang, Jingping 1 Acosta Humánez, Primitivo Belén 1 Anderson, Robert Leonard 1 Angulo-Umaña, Pedro 1 Arik, Metin 1 Aronson, Donald G. 1 Baikov, V. A. 1 Ball, John MacLeod 1 Benjamin, Thomas Brooke 1 Berchenko, Irina 1 Bloch, Anthony Michael 1 Boulton, Lyonell S. 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 Gazizov, Rafail Kav’evich 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 Hereman, Willy A. 1 Hernández Heredero, Rafael 1 Hessburg, Bo 1 Hubert, Evelyne 1 Hurtubise, Jacques C. 1 Ibragimov, Nail Hairullovich 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 Malomed, F. M. 1 Meleshko, Sergey V. 1 Miller, Willard jun. 1 Milson, Robert 1 Neyzi, Fahrünisa 1 Nigam, Nilima 1 Nucci, Maria Clara 1 O’Neill, Riley C. W. 1 Özer, Teoman 1 Pelloni, Beatrice 1 Petitot, Michel 1 Polat, Gülden Gün 1 Quispel, Reinout 1 Ramani, Alfred 1 Raphael, Robert M. 1 Reyes, Enrique G. ...and 25 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 Studies in Applied Mathematics 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 Transactions of the American Mathematical Society 1 Applied Numerical Mathematics 1 European Journal of Applied 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 87 Partial differential equations (35-XX) 70 Global analysis, analysis on manifolds (58-XX) 58 Differential geometry (53-XX) 34 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) 15 Mechanics of particles and systems (70-XX) 14 Numerical analysis (65-XX) 14 Quantum theory (81-XX) 13 Nonassociative rings and algebras (17-XX) 13 Mechanics of deformable solids (74-XX) 13 Fluid mechanics (76-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 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 178 Publications have been cited 6,439 times in 4,666 Documents Cited by ▼ Year ▼ Applications of Lie groups to differential equations. 2nd ed. Zbl 0785.58003Olver, Peter J. 1,031 1993 Applications of Lie groups to differential equations. Zbl 0588.22001Olver, Peter J. 856 1986 Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. Zbl 0958.35119Li, Yi A.; Olver, Peter J. 354 2000 Noether’s theorems and systems of Cauchy-Kovalevskaya type. Zbl 0656.58039Olver, P. J. 336 1986 Equivalence, invariants, and symmetry. Zbl 0837.58001Olver, Peter J. 318 1995 Evolution equations possessing infinitely many symmetries. Zbl 0348.35024Olver, Peter J. 202 1977 Moving coframes. II: Regularization and theoretical foundations. Zbl 0937.53013Fels, Mark; Olver, Peter J. 169 1999 Classical invariant theory. Zbl 0971.13004Olver, Peter J. 146 1999 Null Lagrangians, weak continuity, and variational problems of arbitrary order. Zbl 0459.35020Ball, J. M.; Currie, J. C.; Olver, P. J. 137 1981 Applications of Lie groups to differential equations. Paperback ed. Zbl 0937.58026Olver, Peter J. 130 2000 Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng 127 2013 Euler operators and conservation laws of the BBM equation. Zbl 0387.35050Olver, Peter J. 110 1979 Hamiltonian structure, symmetries and conservation laws for water waves. Zbl 0511.76020Benjamin, T. Brooke; Olver, P. J. 85 1982 Moving coframes. I: A practical algorithm. Zbl 0937.53012Fels, Mark; Olver, Peter J. 85 1998 Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. Zbl 0755.76023Kichenassamy, Satyanad; Olver, Peter J. 85 1992 Group-invariant solutions of differential equations. Zbl 0621.35007Olver, Peter J.; Rosenau, Philip 84 1987 The construction of special solutions to partial differential equations. Zbl 0937.35501Olver, Peter; Rosenau, Philip 79 1986 CRC handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical development and computational methods. Incl. 1 disk. Zbl 0864.35003 74 1996 Integrable evolution equations on associative algebras. Zbl 0908.35124Olver, Peter J.; Sokolov, Vladimir V. 73 1998 Generating differential invariants. Zbl 1124.53006Olver, Peter J. 62 2007 Differential invariants of conformal and projective surfaces. Zbl 1141.53010Hubert, Evelyne; Olver, Peter J. 53 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. 51 1997 Direct reduction and differential constraints. Zbl 0814.35003Olver, Peter J. 51 1994 Symmetry groups and path-independent integrals. Zbl 0591.73024Olver, P. J. 47 1985 Moving frames: a brief survey. Zbl 1076.53018Olver, Peter J. 45 2001 Symmetry and the Chazy equation. Zbl 0842.34010Clarkson, Peter A.; Olver, Peter J. 41 1996 A nonlinear Hamiltonian structure for the Euler equations. Zbl 0534.76035Olver, Peter J. 40 1982 Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators. Zbl 0767.35052González-López, Artemio; Kamran, Niky; Olver, Peter J. 39 1993 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. 38 1983 Lie algebras of vector fields in the real plane. Zbl 0872.17022González-López, Artemio; Kamran, Niky; Olver, Peter J. 37 1992 Conformal curvature flows: from phase transitions to active vision. Zbl 0937.53029Kichenassamy, Satyanad; Kumar, Arun; Olver, Peter; Tannenbaum, Allen; Yezzi, Anthony jun. 36 1996 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 34 1988 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. (Prilozheniya grupp Li k differentsial’nym uravneniyam.) Zbl 0743.58003Olver, P. 34 1989 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. 33 1998 On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu 33 2014 On the Hamiltonian structure of evolution equations. Zbl 0445.58012Olver, Peter J. 32 1980 Invariant submanifold flows. Zbl 1146.53040Olver, Peter J. 31 2008 Lie algebras of differential operators and Lie-algebraic potentials. Zbl 0693.34021Kamran, Niky; Olver, Peter J. 30 1990 Hamiltonian perturbation theory and water waves. Zbl 0521.76018Olver, Peter 30 1984 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 29 2008 On multivariate interpolation. Zbl 1145.41311Olver, Peter J. 28 2006 Joint invariant signatures. Zbl 1001.53004Olver, Peter J. 28 2001 Differential invariant algebras of Lie pseudo-groups. Zbl 1194.58018Olver, Peter J.; Pohjanpelto, Juha 26 2009 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. 25 2001 Maurer-Cartan forms and the structure of Lie pseudo-groups. Zbl 1091.58014Olver, Peter J.; Pohjanpelto, Juha 21 2005 Conservation laws in elasticity. I: General results. Zbl 0559.73019Olver, Peter J. 21 1984 Lie algebras of differential operators in two complex variables. Zbl 0781.17011González-López, Artemio; Kamran, Niky; Olver, Peter J. 21 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 Non-analytic solutions of nonlinear wave models. Zbl 0940.35176Li, Yi A.; Olver, Peter J.; Rosenau, Philip 19 1999 Introduction to partial differential equations. Zbl 1295.35001Olver, Peter J. 19 2014 Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038Kamran, Niky; Milson, Robert; Olver, Peter J. 18 2000 Variational \(C^{\infty}\)-symmetries and Euler–Lagrange equations. Zbl 1085.70016Muriel, C.; Romero, J. L.; Olver, P. J. 17 2006 Conservation laws and null divergences. Zbl 0556.35021Olver, Peter J. 17 1983 Geometric integration via multi-space. Zbl 1068.65092Kim, Pilwon; Olver, Peter J. 17 2004 A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121Fokas, A. S.; Olver, P. J.; Rosenau, P. 17 1997 Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen 17 1996 Moving frames and singularities of prolonged group actions. Zbl 0966.57037Olver, Peter J. 17 2000 Classification of integrable one-component systems on associative algebras. Zbl 1033.37035Olver, Peter J.; Wang, Jing Ping 17 2000 Algorithms for differential invariants of symmetry groups of differential equations. Zbl 1183.58016Cheh, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha 16 2008 Darboux’ theorem for Hamiltonian differential operators. Zbl 0651.47036Olver, Peter J. 15 1988 Symmetry groups and group invariant solutions of partial differential equations. Zbl 0437.58024Olver, Peter J. 15 1979 Quasi-exactly solvable Lie algebras of differential operators in two complex variables. Zbl 0760.17021González-López, Artemio; Kamran, Niky; Olver, Peter J. 15 1991 The structure of null Lagrangians. Zbl 0662.49016Olver, P. J.; Sivaloganathan, J. 14 1988 Symmetry and explicit solutions of partial differential equations. Zbl 0777.35017Olver, Peter J. 14 1992 Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026Olver, Peter J.; Sanders, Jan A. 13 2000 Non-associative local Lie groups. Zbl 0862.22005Olver, Peter J. 13 1996 Moving frames and differential invariants in centro-affine geometry. Zbl 1260.53024Olver, P. J. 13 2010 Equivalence of differential operators. Zbl 0715.47032Kamran, Niky; Olver, Peter J. 12 1989 Equivalence problems for first order Lagrangians on the line. Zbl 0677.49034Kamran, Niky; Olver, Peter J. 12 1989 Applications of Lie groups to differential equations. Lecture Notes. Zbl 0599.58050Olver, Peter J. 12 1980 Symmetries of polynomials. Zbl 0970.15023Berchenko, Irina; Olver, Peter J. 12 2000 Moving frames and joint differential invariants. Zbl 1014.53013Olver, P. J. 12 1999 Non-abelian integrable systems of the derivative nonlinear Schrödinger type. Zbl 0915.35097Olver, P. J.; Sokolov, V. V. 12 1998 Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018Marí Beffa, G.; Olver, P. J. 12 2010 Geodesic flow and two (super) component analog of the Camassa-Holm equation. Zbl 1095.53058Guha, Partha; Olver, Peter J. 12 2006 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 Hyperjacobians, determinantal ideals and weak solutions to variational problems. Zbl 0562.49005Olver, Peter J. 11 1983 A survey of moving frames. Zbl 1078.53507Olver, Peter J. 11 2005 Recursive moving frames. Zbl 1254.22014Olver, Peter J. 11 2011 Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng 10 2014 Canonical elastic moduli. Zbl 0658.73014Olver, Peter J. 10 1988 Lectures on moving frames. Zbl 1235.53016Olver, Peter J. 10 2011 Geometric integration algorithms on homogeneous manifolds. Zbl 1018.22017Lewis, Debra; Olver, Peter J. 9 2002 A resolution of the Euler operator. I. Zbl 0395.49002Olver, Peter J.; Shakiban, Chehrzad 9 1978 Moving frames – in geometry, algebra, computer vision, and numerical analysis. Zbl 0981.53010Olver, Peter J. 9 2001 Differential invariants of surfaces. Zbl 1164.53002Olver, Peter J. 9 2009 New quasi-exactly solvable Hamiltonians in two dimensions. Zbl 0811.35106González-López, Artemio; Kamran, Niky; Olver, Peter J. 9 1994 Integrability of Klein-Gordon equations. Zbl 0629.35104Clarkson, Peter A.; McLeod, J. Bryce; Olver, Peter J.; Ramani, Alfred 8 1986 Real Lie algebras of differential operators and quasi-exactly solvable potentials. Zbl 0872.17021González-López, Artemio; Kamran, Niky; Olver, Peter 8 1996 Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 8 1997 Equivalence and the Cartan form. Zbl 0794.49041Olver, Peter J. 8 1993 Dispersion of discontinuous periodic waves. Zbl 1371.35246Chen, Gong; Olver, Peter J. 8 2013 Graph theory and classical invariant theory. Zbl 0688.15007Olver, Peter J.; Shakiban, Chehrzad 7 1989 Dirac’s theory of constraints in field theory and the canonical form of Hamiltonian differential operators. Zbl 0609.70010Olver, Peter J. 7 1986 Conservation laws of free boundary problems and the classification of conservation laws for water waves. Zbl 0519.76015Olver, Peter J. 7 1983 Extensions of invariant signatures for object recognition. Zbl 1276.68137Hoff, Daniel J.; Olver, Peter J. 7 2013 Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 7 1999 Feature matching and heat flow in centro-affine geometry. Zbl 1460.53010Olver, Peter J.; Qu, Changzheng; Yang, Yun 2 2020 Dispersive Lamb systems. Zbl 1435.35223Olver, Peter J.; Sheils, Natalie E. 2 2019 The \(n\) body matrix and its determinant. Zbl 1442.70008Grinberg, Darij; Olver, Peter J. 1 2019 Applied linear algebra. 2nd edition, previously published by Pearson/Prentice Hall 2006. Zbl 1402.15001Olver, Peter J.; Shakiban, Chehrzad 5 2018 Normal forms for submanifolds under group actions. Zbl 1426.22014Olver, Peter J. 2 2018 Points of constancy of the periodic linearized Korteweg-deVries equation. Zbl 1407.35179Olver, Peter J.; Tsatis, Efstratios 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 Prolonged analytic connected group actions are generically free. Zbl 1432.22025Adams, Scot; Olver, Peter 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. 5 2016 Invariants of objects and their images under surjective maps. Zbl 1332.53021Kogan, I. A.; Olver, P. J. 2 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 33 2014 Introduction to partial differential equations. Zbl 1295.35001Olver, Peter J. 19 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 10 2014 Automatic solution of jigsaw puzzles. Zbl 1361.68291Hoff, Daniel J.; Olver, Peter J. 7 2014 Numerical simulation of nonlinear dispersive quantization. Zbl 1358.35152Chen, Gong; Olver, Peter J. 4 2014 Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng 127 2013 Dispersion of discontinuous periodic waves. Zbl 1371.35246Chen, Gong; Olver, Peter J. 8 2013 Extensions of invariant signatures for object recognition. Zbl 1276.68137Hoff, Daniel J.; Olver, Peter J. 7 2013 Invariant histograms. Zbl 1266.53003Brinkman, Daniel; Olver, Peter J. 5 2012 Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J. 5 2012 Persistence of freeness for Lie pseudogroup actions. Zbl 1260.58010Olver, Peter J.; Pohjanpelto, Juha 3 2012 Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics, Jairo Charris Seminar 2010, Santa Maria, Colombia, August 2010. Zbl 1234.81013 2 2012 Recursive moving frames. Zbl 1254.22014Olver, Peter J. 11 2011 Lectures on moving frames. Zbl 1235.53016Olver, Peter J. 10 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 1218.39002 1 2011 Moving frames and differential invariants in centro-affine geometry. Zbl 1260.53024Olver, P. J. 13 2010 Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018Marí Beffa, G.; Olver, P. J. 12 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 26 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 7 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 Differential invariants of maximally symmetric submanifolds. Zbl 1169.53012Olver, Peter J. 1 2009 Invariant submanifold flows. Zbl 1146.53040Olver, Peter J. 31 2008 Moving frames for Lie pseudo-groups. Zbl 1160.53006Olver, Peter J.; Pohjanpelto, Juha 29 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 5 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. 62 2007 Differential invariants of conformal and projective surfaces. Zbl 1141.53010Hubert, Evelyne; Olver, Peter J. 53 2007 Differential invariants for Lie pseudo-groups. Zbl 1133.58009Olver, Peter; Pohjanpelto, Juha 7 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. 28 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. 12 2006 Applied linear algebra. Zbl 1076.15001Olver, Peter J.; Shakiban, Chehrzad 4 2006 Maurer-Cartan forms and the structure of Lie pseudo-groups. Zbl 1091.58014Olver, Peter J.; Pohjanpelto, Juha 21 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 Connections for general group actions. Zbl 1086.58006Lewis, Debra; Nigam, Nilima; Olver, Peter J. 1 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 1073.68007 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. 5 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. 6 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 1103.68009 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. 28 2001 Geometric foundations of numerical algorithms and symmetry. Zbl 0982.65135Olver, Peter J. 25 2001 Moving frames – in geometry, algebra, computer vision, and numerical analysis. Zbl 0981.53010Olver, Peter J. 9 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 Classification of symmetry-integrable evolution equations. Zbl 0995.35005Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping 2 2001 The invariant variational bicomplex. Zbl 1004.58009Kogan, Irina A.; Olver, Peter J. 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. 354 2000 Applications of Lie groups to differential equations. Paperback ed. Zbl 0937.58026Olver, Peter J. 130 2000 Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038Kamran, Niky; Milson, Robert; Olver, Peter J. 18 2000 Moving frames and singularities of prolonged group actions. Zbl 0966.57037Olver, Peter J. 17 2000 Classification of integrable one-component systems on associative algebras. Zbl 1033.37035Olver, Peter J.; Wang, Jing Ping 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. 12 2000 Moving coframes. II: Regularization and theoretical foundations. Zbl 0937.53013Fels, Mark; Olver, Peter J. 169 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 19 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 7 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. 85 1998 Integrable evolution equations on associative algebras. Zbl 0908.35124Olver, Peter J.; Sokolov, Vladimir V. 73 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. 33 1998 Non-abelian integrable systems of the derivative nonlinear Schrödinger type. Zbl 0915.35097Olver, P. J.; Sokolov, V. V. 12 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. 51 1997 A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121Fokas, A. S.; Olver, P. J.; Rosenau, P. 17 1997 Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen 8 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 CRC handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical development and computational methods. Incl. 1 disk. Zbl 0864.35003 74 1996 Symmetry and the Chazy equation. Zbl 0842.34010Clarkson, Peter A.; Olver, Peter J. 41 1996 Conformal curvature flows: from phase transitions to active vision. Zbl 0937.53029Kichenassamy, Satyanad; Kumar, Arun; Olver, Peter; Tannenbaum, Allen; Yezzi, Anthony jun. 36 1996 ...and 78 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,425 Authors 70 Olver, Peter John 61 Qu, Changzheng 49 Khalique, Chaudry Masood 46 Gandarias Núñez, Maria Luz 42 Bruzón, Maria Santos 42 Yin, Zhaoyang 35 Liu, Yue 35 Popovych, Roman O. 33 Kara, Abdul Hamid 32 Wazwaz, Abdul-Majid Abdul-Rahman 31 Li, Jibin 31 Ma, Wen-Xiu 30 Mahomed, Fazal M. 29 Anco, Stephen C. 29 Gaeta, Giuseppe 29 Nadjafikhah, Mehdi 29 Sophocleous, Christodoulos 26 Llibre, Jaume 25 Zhang, Hongqing 23 Bluman, George W. 23 Leach, Peter Gavin Lawrence 23 Tian, Lixin 22 Freire, Igor Leite 22 Himonas, A. Alexandrou 22 Qiao, Zhijun 22 Winternitz, Pavel 20 Govinder, Keshlan Sathasiva 20 Liu, Hanze 20 Özer, Teoman 19 Gupta, Rajesh Kumar 18 Kamran, Niky 18 Lai, Shaoyong 18 Morozov, Oleg I. 18 Oliveri, Francesco 18 Wang, Jingping 17 Clarkson, Peter A. 17 Hernández-Bermejo, Benito 17 Meleshko, Sergey V. 17 Valiquette, Francis 16 Moitsheki, Raseelo J. 16 Nucci, Maria Clara 15 Anderson, Ian M. 15 Bihlo, Alexander 15 Cheviakov, Alexei F. 15 Gordoa, Pilar Ruiz 15 Grundland, Alfred Michel 15 Guha, Partha 15 Mansfield, Elizabeth Louise 15 Pickering, Andrew 15 Sahadevan, Ramajayam 15 Sergyeyev, Artur 15 Vulpe, Nicolae I. 15 Zhang, Zhiyong 14 Fu, Ying 14 Lou, Senyue 14 Morando, Paola 13 Biswas, Anjan 13 Chen, Yong 13 Cicogna, Giampaolo 13 Dağ, İdris 13 Hu, Qiaoyi 13 Kumar, Sachin 13 Lakshmanan, Muthusamy 13 Marí Beffa, Gloria 13 Mu, Chunlai 13 Muriel, Concepción 13 Mustafa, Muhammad Tahir 13 Naeem, Imran 13 Pohjanpelto, Juha 13 Shen, Shoufeng 13 Zhang, Yufeng 12 Azad, Hassan 12 Bozhkov, Yuri Dimitrov 12 Dorodnitsyn, Vladimir A. 12 Fokas, Athanassios S. 12 Liu, Xingxing 12 Luo, Shaokai 12 Reyes, Enrique G. 12 Senthilvelan, Murugaian 12 Tracinà, Rita 12 Vitolo, Raffaele F. 12 Yan, Wei 12 Zharinov, Victor Victorovich 12 Zhdanov, Renat Z. 12 Zhou, Shouming 11 Ivanov, Rossen I. 11 Kruglikov, Boris S. 11 Mi, Yongsheng 11 Mikula, Karol 11 Paliathanasis, Andronikos 11 Rosenhaus, Vladimir 11 Sanders, Jan A. 11 Smirnov, Roman G. 11 Xin, Xiangpeng 10 Doubrov, Boris M. 10 Guo, Boling 10 Jamal, Sameerah 10 Li, Yongsheng 10 Muatjetjeja, Ben 10 Ruiz, Adrián Tonatiuh ...and 4,325 more Authors all top 5 Cited in 523 Serials 304 Journal of Mathematical Physics 170 Applied Mathematics and Computation 169 Journal of Mathematical Analysis and Applications 135 Journal of Nonlinear Mathematical Physics 110 Journal of Geometry and Physics 109 Journal of Differential Equations 105 Physics Letters. A 92 Physica D 92 Communications in Nonlinear Science and Numerical Simulation 90 Nonlinear Dynamics 84 Chaos, Solitons and Fractals 76 Theoretical and Mathematical Physics 70 Acta Applicandae Mathematicae 60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 59 Abstract and Applied Analysis 57 Nonlinear Analysis. Real World Applications 52 International Journal of Theoretical Physics 49 Applied Mathematics Letters 47 Archive for Rational Mechanics and Analysis 46 Discrete and Continuous Dynamical Systems 44 Studies in Applied Mathematics 42 Communications in Mathematical Physics 40 Computers & Mathematics with Applications 39 Letters in Mathematical Physics 38 Reports on Mathematical Physics 38 Advances in Mathematical Physics 37 Journal of Computational and Applied Mathematics 34 Mathematical Methods in the Applied Sciences 31 Differential Geometry and its Applications 30 International Journal of Geometric Methods in Modern Physics 29 Journal of Elasticity 27 Applicable Analysis 27 International Journal of Engineering Science 26 Journal of Computational Physics 26 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 25 General Relativity and Gravitation 25 Advances in Mathematics 25 Mathematical Problems in Engineering 24 Journal of Fluid Mechanics 24 Applied Numerical Mathematics 24 Journal of Symbolic Computation 24 Journal of Nonlinear Science 24 Journal of Mathematical Sciences (New York) 24 Journal of Applied Mathematics 23 Journal of Mathematical Imaging and Vision 22 Journal of Physics A: Mathematical and Theoretical 21 Acta Mechanica 21 Mathematical and Computer Modelling 21 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 20 Transactions of the American Mathematical Society 19 Computer Physics Communications 19 Journal of Engineering Mathematics 19 Physica A 19 Journal of Functional Analysis 19 Discrete and Continuous Dynamical Systems. Series S 19 Symmetry 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 18 Applied Mathematics and Mechanics. (English Edition) 18 International Journal of Computer Mathematics 18 Advances in Difference Equations 17 International Journal of Modern Physics B 17 Mathematics and Computers in Simulation 16 Applied Mathematical Modelling 16 Linear Algebra and its Applications 16 Regular and Chaotic Dynamics 15 Nuclear Physics. B 15 Ukrainian Mathematical Journal 15 Journal of High Energy Physics 14 Wave Motion 14 Monatshefte für Mathematik 14 Proceedings of the American Mathematical Society 14 European Journal of Applied Mathematics 14 Calculus of Variations and Partial Differential Equations 14 Lobachevskii Journal of Mathematics 14 Foundations of Computational Mathematics 13 Automatica 13 Acta Mathematica Sinica. English Series 13 Science China. Mathematics 12 Nonlinearity 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Acta Mathematicae Applicatae Sinica. English Series 12 Annals of Physics 11 Modern Physics Letters A 11 Mathematical Notes 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Rocky Mountain Journal of Mathematics 11 Quaestiones Mathematicae 11 Advances in Applied Mathematics 11 Communications in Partial Differential Equations 11 Boundary Value Problems 10 Computer Methods in Applied Mechanics and Engineering 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Physical Review Letters 9 Annales de l’Institut Fourier 9 Duke Mathematical Journal 9 Mathematische Annalen 9 Results in Mathematics 9 Systems & Control Letters 9 SIAM Journal on Mathematical Analysis 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 423 more Serials all top 5 Cited in 61 Fields 2,573 Partial differential equations (35-XX) 1,121 Dynamical systems and ergodic theory (37-XX) 616 Fluid mechanics (76-XX) 519 Ordinary differential equations (34-XX) 487 Global analysis, analysis on manifolds (58-XX) 375 Mechanics of particles and systems (70-XX) 352 Numerical analysis (65-XX) 351 Differential geometry (53-XX) 246 Quantum theory (81-XX) 243 Mechanics of deformable solids (74-XX) 184 Topological groups, Lie groups (22-XX) 180 Nonassociative rings and algebras (17-XX) 173 Computer science (68-XX) 150 Calculus of variations and optimal control; optimization (49-XX) 140 Relativity and gravitational theory (83-XX) 87 Statistical mechanics, structure of matter (82-XX) 77 Systems theory; control (93-XX) 72 Algebraic geometry (14-XX) 71 Biology and other natural sciences (92-XX) 65 Difference and functional equations (39-XX) 62 Commutative algebra (13-XX) 57 Special functions (33-XX) 49 Operator theory (47-XX) 47 Probability theory and stochastic processes (60-XX) 46 Real functions (26-XX) 44 Optics, electromagnetic theory (78-XX) 43 Functional analysis (46-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 41 Several complex variables and analytic spaces (32-XX) 40 Number theory (11-XX) 39 Geophysics (86-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Classical thermodynamics, heat transfer (80-XX) 33 Information and communication theory, circuits (94-XX) 32 Field theory and polynomials (12-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 25 Functions of a complex variable (30-XX) 24 Manifolds and cell complexes (57-XX) 23 Combinatorics (05-XX) 21 Associative rings and algebras (16-XX) 20 Group theory and generalizations (20-XX) 16 Approximations and expansions (41-XX) 16 Astronomy and astrophysics (85-XX) 14 Integral equations (45-XX) 12 Geometry (51-XX) 12 General topology (54-XX) 12 Algebraic topology (55-XX) 11 History and biography (01-XX) 10 Operations research, mathematical programming (90-XX) 9 Abstract harmonic analysis (43-XX) 8 Mathematical logic and foundations (03-XX) 8 Measure and integration (28-XX) 8 Statistics (62-XX) 7 General and overarching topics; collections (00-XX) 5 Category theory; homological algebra (18-XX) 5 Integral transforms, operational calculus (44-XX) 5 Convex and discrete geometry (52-XX) 4 Potential theory (31-XX) 3 \(K\)-theory (19-XX) 1 General algebraic systems (08-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.