## Olver, Peter John

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 0785.58003
Olver, Peter J.
1993
Applications of Lie groups to differential equations. Zbl 0588.22001
Olver, Peter J.
1986
Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. Zbl 0958.35119
Li, Yi A.; Olver, Peter J.
2000
Noether’s theorems and systems of Cauchy-Kovalevskaya type. Zbl 0656.58039
Olver, P. J.
1986
Equivalence, invariants, and symmetry. Zbl 0837.58001
Olver, Peter J.
1995
Evolution equations possessing infinitely many symmetries. Zbl 0348.35024
Olver, Peter J.
1977
Moving coframes. II: Regularization and theoretical foundations. Zbl 0937.53013
Fels, Mark; Olver, Peter J.
1999
Classical invariant theory. Zbl 0971.13004
Olver, Peter J.
1999
Null Lagrangians, weak continuity, and variational problems of arbitrary order. Zbl 0459.35020
Ball, J. M.; Currie, J. C.; Olver, P. J.
1981
Applications of Lie groups to differential equations. Paperback ed. Zbl 0937.58026
Olver, Peter J.
2000
Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186
Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng
2013
Euler operators and conservation laws of the BBM equation. Zbl 0387.35050
Olver, Peter J.
1979
Hamiltonian structure, symmetries and conservation laws for water waves. Zbl 0511.76020
Benjamin, T. Brooke; Olver, P. J.
1982
Moving coframes. I: A practical algorithm. Zbl 0937.53012
Fels, Mark; Olver, Peter J.
1998
Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. Zbl 0755.76023
Kichenassamy, Satyanad; Olver, Peter J.
1992
Group-invariant solutions of differential equations. Zbl 0621.35007
Olver, Peter J.; Rosenau, Philip
1987
The construction of special solutions to partial differential equations. Zbl 0937.35501
Olver, Peter; Rosenau, Philip
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
1996
Integrable evolution equations on associative algebras. Zbl 0908.35124
Olver, Peter J.; Sokolov, Vladimir V.
1998
Generating differential invariants. Zbl 1124.53006
Olver, Peter J.
2007
Differential invariants of conformal and projective surfaces. Zbl 1141.53010
Hubert, Evelyne; Olver, Peter J.
2007
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons. Zbl 0949.35118
Li, Y. A.; Olver, P. J.
1997
Direct reduction and differential constraints. Zbl 0814.35003
Olver, Peter J.
1994
Symmetry groups and path-independent integrals. Zbl 0591.73024
Olver, P. J.
1985
Moving frames: a brief survey. Zbl 1076.53018
Olver, Peter J.
2001
Symmetry and the Chazy equation. Zbl 0842.34010
Clarkson, Peter A.; Olver, Peter J.
1996
A nonlinear Hamiltonian structure for the Euler equations. Zbl 0534.76035
Olver, Peter J.
1982
Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators. Zbl 0767.35052
González-López, Artemio; Kamran, Niky; Olver, Peter J.
1993
The connection between partial differential equations soluble by inverse scattering and ordinary differential equations of Painleve type. Zbl 0518.35075
McLeod, J. B.; Olver, P. J.
1983
Lie algebras of vector fields in the real plane. Zbl 0872.17022
González-López, Artemio; Kamran, Niky; Olver, Peter J.
1992
Conformal curvature flows: from phase transitions to active vision. Zbl 0937.53029
Kichenassamy, Satyanad; Kumar, Arun; Olver, Peter; Tannenbaum, Allen; Yezzi, Anthony jun.
1996
Invariant Euler–Lagrange equations and the invariant variational bicomplex. Zbl 1034.53015
Kogan, Irina A.; Olver, Peter J.
2003
Hamiltonian structures for systems of hyperbolic conservation laws. Zbl 0697.35084
Olver, Peter J.; Nutku, Yavuz
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 0743.58003
Olver, P.
1989
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions. Zbl 0959.35157
Li, Y. A.; Olver, P. J.
1998
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
2014
On the Hamiltonian structure of evolution equations. Zbl 0445.58012
Olver, Peter J.
1980
Invariant submanifold flows. Zbl 1146.53040
Olver, Peter J.
2008
Lie algebras of differential operators and Lie-algebraic potentials. Zbl 0693.34021
Kamran, Niky; Olver, Peter J.
1990
Hamiltonian perturbation theory and water waves. Zbl 0521.76018
Olver, Peter
1984
Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics. Zbl 0582.73024
Olver, Peter J.
1984
Moving frames for Lie pseudo-groups. Zbl 1160.53006
Olver, Peter J.; Pohjanpelto, Juha
2008
On multivariate interpolation. Zbl 1145.41311
Olver, Peter J.
2006
Joint invariant signatures. Zbl 1001.53004
Olver, Peter J.
2001
Differential invariant algebras of Lie pseudo-groups. Zbl 1194.58018
Olver, Peter J.; Pohjanpelto, Juha
2009
Internal, external, and generalized symmetries. Zbl 0809.58044
Anderson, Ian M.; Kamran, Niky; Olver, Peter J.
1993
Geometric foundations of numerical algorithms and symmetry. Zbl 0982.65135
Olver, Peter J.
2001
Maurer-Cartan forms and the structure of Lie pseudo-groups. Zbl 1091.58014
Olver, Peter J.; Pohjanpelto, Juha
2005
Conservation laws in elasticity. I: General results. Zbl 0559.73019
Olver, Peter J.
1984
Lie algebras of differential operators in two complex variables. Zbl 0781.17011
González-López, Artemio; Kamran, Niky; Olver, Peter J.
1992
Multi-Hamiltonian structure of the Born-Infeld equation. Zbl 0850.70173
Arik, Metin; Neyzi, Fahrünisa; Nutku, Yavuz; Olver, Peter J.; Verosky, John M.
1989
Non-analytic solutions of nonlinear wave models. Zbl 0940.35176
Li, Yi A.; Olver, Peter J.; Rosenau, Philip
1999
Introduction to partial differential equations. Zbl 1295.35001
Olver, Peter J.
2014
Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038
Kamran, Niky; Milson, Robert; Olver, Peter J.
2000
Variational $$C^{\infty}$$-symmetries and Euler–Lagrange equations. Zbl 1085.70016
Muriel, C.; Romero, J. L.; Olver, P. J.
2006
Conservation laws and null divergences. Zbl 0556.35021
Olver, Peter J.
1983
Geometric integration via multi-space. Zbl 1068.65092
Kim, Pilwon; Olver, Peter J.
2004
A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121
Fokas, A. S.; Olver, P. J.; Rosenau, P.
1997
Affine geometry, curve flows, and invariant numerical approximations. Zbl 0973.53006
Calabi, Eugenio; Olver, Peter J.; Tannenbaum, Allen
1996
Moving frames and singularities of prolonged group actions. Zbl 0966.57037
Olver, Peter J.
2000
Classification of integrable one-component systems on associative algebras. Zbl 1033.37035
Olver, Peter J.; Wang, Jing Ping
2000
Algorithms for differential invariants of symmetry groups of differential equations. Zbl 1183.58016
Cheh, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha
2008
Darboux’ theorem for Hamiltonian differential operators. Zbl 0651.47036
Olver, Peter J.
1988
Symmetry groups and group invariant solutions of partial differential equations. Zbl 0437.58024
Olver, Peter J.
1979
Quasi-exactly solvable Lie algebras of differential operators in two complex variables. Zbl 0760.17021
González-López, Artemio; Kamran, Niky; Olver, Peter J.
1991
The structure of null Lagrangians. Zbl 0662.49016
Olver, P. J.; Sivaloganathan, J.
1988
Symmetry and explicit solutions of partial differential equations. Zbl 0777.35017
Olver, Peter J.
1992
Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026
Olver, Peter J.; Sanders, Jan A.
2000
Non-associative local Lie groups. Zbl 0862.22005
Olver, Peter J.
1996
Moving frames and differential invariants in centro-affine geometry. Zbl 1260.53024
Olver, P. J.
2010
Equivalence of differential operators. Zbl 0715.47032
Kamran, Niky; Olver, Peter J.
1989
Equivalence problems for first order Lagrangians on the line. Zbl 0677.49034
Kamran, Niky; Olver, Peter J.
1989
Applications of Lie groups to differential equations. Lecture Notes. Zbl 0599.58050
Olver, Peter J.
1980
Symmetries of polynomials. Zbl 0970.15023
Berchenko, Irina; Olver, Peter J.
2000
Moving frames and joint differential invariants. Zbl 1014.53013
Olver, P. J.
1999
Non-abelian integrable systems of the derivative nonlinear Schrödinger type. Zbl 0915.35097
Olver, P. J.; Sokolov, V. V.
1998
Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018
Marí Beffa, G.; Olver, P. J.
2010
Geodesic flow and two (super) component analog of the Camassa-Holm equation. Zbl 1095.53058
Guha, Partha; Olver, Peter J.
2006
Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy. Zbl 1344.37075
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng
2016
Hyperjacobians, determinantal ideals and weak solutions to variational problems. Zbl 0562.49005
Olver, Peter J.
1983
A survey of moving frames. Zbl 1078.53507
Olver, Peter J.
2005
Recursive moving frames. Zbl 1254.22014
Olver, Peter J.
2011
Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035
Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng
2014
Canonical elastic moduli. Zbl 0658.73014
Olver, Peter J.
1988
Lectures on moving frames. Zbl 1235.53016
Olver, Peter J.
2011
Geometric integration algorithms on homogeneous manifolds. Zbl 1018.22017
Lewis, Debra; Olver, Peter J.
2002
A resolution of the Euler operator. I. Zbl 0395.49002
Olver, Peter J.; Shakiban, Chehrzad
1978
Moving frames – in geometry, algebra, computer vision, and numerical analysis. Zbl 0981.53010
Olver, Peter J.
2001
Differential invariants of surfaces. Zbl 1164.53002
Olver, Peter J.
2009
New quasi-exactly solvable Hamiltonians in two dimensions. Zbl 0811.35106
González-López, Artemio; Kamran, Niky; Olver, Peter J.
1994
Integrability of Klein-Gordon equations. Zbl 0629.35104
Clarkson, Peter A.; McLeod, J. Bryce; Olver, Peter J.; Ramani, Alfred
1986
Real Lie algebras of differential operators and quasi-exactly solvable potentials. Zbl 0872.17021
González-López, Artemio; Kamran, Niky; Olver, Peter
1996
Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044
Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen
1997
Equivalence and the Cartan form. Zbl 0794.49041
Olver, Peter J.
1993
Dispersion of discontinuous periodic waves. Zbl 1371.35246
Chen, Gong; Olver, Peter J.
2013
Graph theory and classical invariant theory. Zbl 0688.15007
Olver, Peter J.; Shakiban, Chehrzad
1989
Dirac’s theory of constraints in field theory and the canonical form of Hamiltonian differential operators. Zbl 0609.70010
Olver, Peter J.
1986
Conservation laws of free boundary problems and the classification of conservation laws for water waves. Zbl 0519.76015
Olver, Peter J.
1983
Extensions of invariant signatures for object recognition. Zbl 1276.68137
Hoff, Daniel J.; Olver, Peter J.
2013
Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010
Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen
1999
Feature matching and heat flow in centro-affine geometry. Zbl 1460.53010
Olver, Peter J.; Qu, Changzheng; Yang, Yun
2020
Dispersive Lamb systems. Zbl 1435.35223
Olver, Peter J.; Sheils, Natalie E.
2019
The $$n$$ body matrix and its determinant. Zbl 1442.70008
Grinberg, Darij; Olver, Peter J.
2019
Applied linear algebra. 2nd edition, previously published by Pearson/Prentice Hall 2006. Zbl 1402.15001
Olver, Peter J.; Shakiban, Chehrzad
2018
Normal forms for submanifolds under group actions. Zbl 1426.22014
Olver, Peter J.
2018
Points of constancy of the periodic linearized Korteweg-deVries equation. Zbl 1407.35179
Olver, Peter J.; Tsatis, Efstratios
2018
On the commutator of $$\mathcal C^\infty$$-symmetries and the reduction of Euler-Lagrange equations. Zbl 1391.49018
Ruiz, A.; Muriel, C.; Olver, P. J.
2018
Prolonged analytic connected group actions are generically free. Zbl 1432.22025
Adams, Scot; Olver, Peter J.
2018
Liouville correspondences between integrable hierarchies. Zbl 1366.37133
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng
2017
Bäcklund transformations for tri-Hamiltonian dual structures of multi-component integrable systems. Zbl 1403.37080
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng
2017
Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy. Zbl 1344.37075
Kang, Jing; Liu, Xiaochuan; Olver, Peter J.; Qu, Changzheng
2016
The symmetry groupoid and weighted signature of a geometric object. Zbl 1341.53027
Olver, Peter J.
2016
Invariants of objects and their images under surjective maps. Zbl 1332.53021
Kogan, I. A.; Olver, P. J.
2015
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
2014
Introduction to partial differential equations. Zbl 1295.35001
Olver, Peter J.
2014
Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035
Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng
2014
Automatic solution of jigsaw puzzles. Zbl 1361.68291
Hoff, Daniel J.; Olver, Peter J.
2014
Numerical simulation of nonlinear dispersive quantization. Zbl 1358.35152
Chen, Gong; Olver, Peter J.
2014
Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186
Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng
2013
Dispersion of discontinuous periodic waves. Zbl 1371.35246
Chen, Gong; Olver, Peter J.
2013
Extensions of invariant signatures for object recognition. Zbl 1276.68137
Hoff, Daniel J.; Olver, Peter J.
2013
Invariant histograms. Zbl 1266.53003
Brinkman, Daniel; Olver, Peter J.
2012
Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193
Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J.
2012
Persistence of freeness for Lie pseudogroup actions. Zbl 1260.58010
Olver, Peter J.; Pohjanpelto, Juha
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
2012
Recursive moving frames. Zbl 1254.22014
Olver, Peter J.
2011
Lectures on moving frames. Zbl 1235.53016
Olver, Peter J.
2011
Differential invariant algebras. Zbl 1232.53021
Olver, Peter J.
2011
Lie completion of pseudo-groups. Zbl 1257.22004
Itskov, Vladimir; Olver, Peter J.; Valiquette, Francis
2011
Pohozhaev and Morawetz identities in elastostatics and elastodynamics. Zbl 1244.35143
Bozhkov, Yuri; Olver, Peter J.
2011
Symmetries and integrability of difference equations. Based upon lectures delivered during the summer school, Montreal, Canada, June 8–21, 2008. Zbl 1218.39002
2011
Moving frames and differential invariants in centro-affine geometry. Zbl 1260.53024
Olver, P. J.
2010
Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018
Marí Beffa, G.; Olver, P. J.
2010
Recent advances in the theory and application of Lie pseudo-groups. Zbl 1330.81112
Olver, Peter
2010
Differential invariant algebras of Lie pseudo-groups. Zbl 1194.58018
Olver, Peter J.; Pohjanpelto, Juha
2009
Differential invariants of surfaces. Zbl 1164.53002
Olver, Peter J.
2009
On the structure of Lie pseudo-groups. Zbl 1241.58008
Olver, Peter J.; Pohjanpelto, Juha; Valiquette, Francis
2009
Local symplectic invariants for curves. Zbl 1176.53032
Kamran, Niky; Olver, Peter; Tenenblat, Keti
2009
Equivalence, invariants, and symmetry. Reprint of the 1995 hardback ed. Zbl 1156.58002
Olver, Peter J.
2009
Differential invariants of maximally symmetric submanifolds. Zbl 1169.53012
Olver, Peter J.
2009
Invariant submanifold flows. Zbl 1146.53040
Olver, Peter J.
2008
Moving frames for Lie pseudo-groups. Zbl 1160.53006
Olver, Peter J.; Pohjanpelto, Juha
2008
Algorithms for differential invariants of symmetry groups of differential equations. Zbl 1183.58016
Cheh, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha
2008
Moving frames and differential invariants for Lie pseudo-groups. Zbl 1146.58010
Olver, Peter; Pohjanpelto, Juha
2008
Pseudo-groups, moving frames, and differential invariants. Zbl 1144.58013
Olver, Peter J.; Pohjanpelto, Juha
2008
Generating differential invariants. Zbl 1124.53006
Olver, Peter J.
2007
Differential invariants of conformal and projective surfaces. Zbl 1141.53010
Hubert, Evelyne; Olver, Peter J.
2007
Differential invariants for Lie pseudo-groups. Zbl 1133.58009
Olver, Peter; Pohjanpelto, Juha
2007
Generalized transvectants and Siegel modular forms. Zbl 1221.11117
Olver, P. J.; Petitot, M.; Solé, P.
2007
On multivariate interpolation. Zbl 1145.41311
Olver, Peter J.
2006
Variational $$C^{\infty}$$-symmetries and Euler–Lagrange equations. Zbl 1085.70016
Muriel, C.; Romero, J. L.; Olver, P. J.
2006
Geodesic flow and two (super) component analog of the Camassa-Holm equation. Zbl 1095.53058
Guha, Partha; Olver, Peter J.
2006
Applied linear algebra. Zbl 1076.15001
Olver, Peter J.; Shakiban, Chehrzad
2006
Maurer-Cartan forms and the structure of Lie pseudo-groups. Zbl 1091.58014
Olver, Peter J.; Pohjanpelto, Juha
2005
A survey of moving frames. Zbl 1078.53507
Olver, Peter J.
2005
Maurer-Cartan equations for Lie symmetry pseudogroups of differential equations. Zbl 1076.37054
Chen, Jeongoo; Olver, Peter J.; Pohjanpelto, Juha
2005
Regularity of pseudogroup orbits. Zbl 1136.58304
Olver, Peter J.; Pohjanpelto, Juha
2005
Connections for general group actions. Zbl 1086.58006
Lewis, Debra; Nigam, Nilima; Olver, Peter J.
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
2005
Geometric integration via multi-space. Zbl 1068.65092
Kim, Pilwon; Olver, Peter J.
2004
Nonlocal symmetries and ghosts. Zbl 1072.35193
Olver, Peter J.
2004
Invariant Euler–Lagrange equations and the invariant variational bicomplex. Zbl 1034.53015
Kogan, Irina A.; Olver, Peter J.
2003
Moving frames. Zbl 1076.53017
Olver, Peter J.
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
2003
Geometric integration algorithms on homogeneous manifolds. Zbl 1018.22017
Lewis, Debra; Olver, Peter J.
2002
Moving frames: a brief survey. Zbl 1076.53018
Olver, Peter J.
2001
Joint invariant signatures. Zbl 1001.53004
Olver, Peter J.
2001
Geometric foundations of numerical algorithms and symmetry. Zbl 0982.65135
Olver, Peter J.
2001
Moving frames – in geometry, algebra, computer vision, and numerical analysis. Zbl 0981.53010
Olver, Peter J.
2001
On formal integrability of evolution equations and local geometry of surfaces. Zbl 1019.37044
Foursov, Mikhail V.; Olver, Peter J.; Reyes, Enrique G.
2001
Classification of symmetry-integrable evolution equations. Zbl 0995.35005
Olver, Peter J.; Sanders, Jan A.; Wang, Jing Ping
2001
The invariant variational bicomplex. Zbl 1004.58009
Kogan, Irina A.; Olver, Peter J.
2001
Moving frames and coframes. Zbl 1037.53007
Fels, Mark; Olver, Peter J.
2001
Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation. Zbl 0958.35119
Li, Yi A.; Olver, Peter J.
2000
Applications of Lie groups to differential equations. Paperback ed. Zbl 0937.58026
Olver, Peter J.
2000
Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038
Kamran, Niky; Milson, Robert; Olver, Peter J.
2000
Moving frames and singularities of prolonged group actions. Zbl 0966.57037
Olver, Peter J.
2000
Classification of integrable one-component systems on associative algebras. Zbl 1033.37035
Olver, Peter J.; Wang, Jing Ping
2000
Transvectants, modular forms, and the Heisenberg algebra. Zbl 1041.11026
Olver, Peter J.; Sanders, Jan A.
2000
Symmetries of polynomials. Zbl 0970.15023
Berchenko, Irina; Olver, Peter J.
2000
Moving coframes. II: Regularization and theoretical foundations. Zbl 0937.53013
Fels, Mark; Olver, Peter J.
1999
Classical invariant theory. Zbl 0971.13004
Olver, Peter J.
1999
Non-analytic solutions of nonlinear wave models. Zbl 0940.35176
Li, Yi A.; Olver, Peter J.; Rosenau, Philip
1999
Moving frames and joint differential invariants. Zbl 1014.53013
Olver, P. J.
1999
Affine invariant detection: Edge maps, anisotropic diffusion, and active contours. Zbl 1005.53010
Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen
1999
Differential invariants for parametrized projective surfaces. Zbl 0949.53012
Marí Beffa, Gloria; Olver, Peter J.
1999
Solitary waves in the critical surface-tension model. Zbl 0934.76012
Gunney, Brian T. N.; Li, Yi A.; Olver, Peter J.
1999
Moving coframes. I: A practical algorithm. Zbl 0937.53012
Fels, Mark; Olver, Peter J.
1998
Integrable evolution equations on associative algebras. Zbl 0908.35124
Olver, Peter J.; Sokolov, Vladimir V.
1998
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions. Zbl 0959.35157
Li, Y. A.; Olver, P. J.
1998
Non-abelian integrable systems of the derivative nonlinear Schrödinger type. Zbl 0915.35097
Olver, P. J.; Sokolov, V. V.
1998
Canonical forms and conservation laws in linear elastostatics. Zbl 0940.74008
Hatfield, G.; Olver, P. J.
1998
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons. Zbl 0949.35118
Li, Y. A.; Olver, P. J.
1997
A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121
Fokas, A. S.; Olver, P. J.; Rosenau, P.
1997
Invariant geometric evolutions of surfaces and volumetric smoothing. Zbl 0874.35044
Olver, Peter J.; Sapiro, Guillermo; Tannenbaum, Allen
1997
On relative invariants. Zbl 0877.57019
Fels, Mark; Olver, Peter J.
1997
Quasi-exact solvability in the real domain. Zbl 0905.17024
González-López, A.; Kamran, N.; Olver, P. J.
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
1996
Symmetry and the Chazy equation. Zbl 0842.34010
Clarkson, Peter A.; Olver, Peter J.
1996
Conformal curvature flows: from phase transitions to active vision. Zbl 0937.53029
Kichenassamy, Satyanad; Kumar, Arun; Olver, Peter; Tannenbaum, Allen; Yezzi, Anthony jun.
1996
...and 78 more Documents
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### 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
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### 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
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### 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)

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