- Peter Olver's Published Papers

Peter Olver's Published Papers

Last updated:   January 26, 2025
  1. Farmakis, G., Kang, J., Olver, P.J., Qu, C., Yin, Z., New revival phenomena for bidirectional dispersive hyperbolic equations, J. Nonlinear Science, to appear.   pdf
  2. Olver, P.J., Reconstruction of bodies from their projections, Pure Appl. Functional Analysis, to appear.   pdf
  3. Olver, P.J., Boundary conditions and null Lagrangians in the calculus of variations and elasticity, J. Elasticity 155 (2024) 75-108.   pdf
  4. Yezzi-Woodley, K., Terwilliger, A., Li, J., Chen, E., Tappen, M., Calder, J., and Olver, P.J., Using machine learning on new feature sets extracted from three-dimensional models of broken animal bones to classify fragments according to break agent, J. Human Evolution 187 (2024) 103495.   pdf
  5. Olver, P.J., Projective invariants of images, European J. Appl. Math. 34 (2023) 936-946.   pdf
  6. Olver, P.J., Sabzevari, M., and Valiquette, F., Normal forms, moving frames, and differential invariants for nondegenerate hypersurfaces in C2, J. Geom. Anal. 33 (2023) 192.   pdf
  7. Olver, P.J., Invariants of finite and discrete group actions via moving frames, Bull. Iranian Math. Soc. 49 (2023) 11.   pdf
  8. Calder, J., Coil, R., Melton, J.A., Olver, P.J., Tostevin, G., and Yezzi-Woodley, K., Use and misuse of machine learning in anthropology, IEEE BITS 2 (1) (2022) 102-115.   pdf
  9. Olver, P.J., Motion and continuity, Math. Intelligencer 44 (2022) 241-249.   pdf
  10. Yezzi-Woodley, K., Calder, J., Olver, P.J., Melton, J.A., Cody, P., Huffstutler, T., Terwilliger, A., Tappen, M., Coil, R., and Tostevin, G., The virtual goniometer: demonstrating a new method for measuring angles on archaeological materials using fragmentary bone, Archaeological Anthropological Sci. 13 (2021) 106.   pdf     Meshlab plugin
  11. Boulton, L., Olver, P.J., Pelloni, B., and Smith, D.A., New revival phenomena for linear integro-differential equations, Stud. Appl. Math. 147 (2021) 1209-1239.   pdf
  12. Olver, P.J., Higher order symmetries of underdetermined systems of partial differential equations and Noether's second theorem, Stud. Appl. Math. 147 (2021) 904-913.   pdf
  13. Olver, P.J., and Stern, A., Dispersive fractalization in Fermi-Pasta-Ulam-Tsingou lattices, European J. Appl. Math. 32 (2021) 820-845.   pdf
  14. Malkoun, J., and Olver, P.J., Continuous maps from spheres converging to boundaries of convex hulls, Forum Math. Sigma 9 (2021) e13.   pdf     Python routines
  15. Olver, P.J., Qu, C., and Yang, Y., Feature matching and heat flow in centro-affine geometry, SIGMA: Symmetry Integrability Geom. Methods Appl. 16 (2020) 093.   pdf
  16. Kang, J., Liu, X., Olver, P.J., and Qu, C., Liouville correspondences between multi-component integrable hierarchies, Theor. Math. Phys. 204 (2020) 843-874.   pdf
  17. Olver, P.J., Sheils, N.E., and Smith, D.A., Revivals and fractalisation in the linear free space Schrödinger equation, Quart. Appl. Math. 78 (2020) 161-192.   pdf      movies
  18. Tuznik, S.L., Olver, P.J., and Tannenbaum, A., Equi-affine differential invariants for invariant feature point detection, European J. Appl. Math. 31 (2020) 277-296.   pdf
  19. O'Neill, R.C.W., Angulo-Umaña, P., Calder, J., Hessburg, B., Olver, P.J., Shakiban, C., and Yezzi-Woodley, K., Computation of circular area and spherical volume invariants via boundary integrals, SIAM J. Imaging Sci. 13 (2020) 53-77.   pdf
  20. Gün Polat, G., and Olver, P.J., Joint differential invariants of binary and ternary forms, Portugaliae Math. 76 (2019) 169-204.   Corrected version: pdf   Corrections and additions to published version: pdf
  21. Olver, P.J., and Sheils, N.E., Dispersive Lamb systems, J. Geom. Mech. 11 (2019) 239-254.   pdf      movies
  22. Barral, D., Bencheikh, K., Olver, P.J., Belabas, N., Levenson, J.A.; Symmetry-based analytical solutions to the χ(2) nonlinear directional coupler, Phys. Rev. E 99 (2019) 042211.   pdf
  23. Grinberg, D., and Olver, P.J., The n body matrix and its determinant, SIAM J. Appl. Algebra Geometry 3 (2019) 67-86.   pdf
  24. Ruiz, A., Muriel, C., and Olver, P.J., On the commutator of C∞ symmetries and the reduction of Euler-Lagrange equations, J. Phys. A 51 (2018) 145202.  pdf
  25. Olver, P.J., Emmy Noether's enduring legacy in symmetry, Symmetry: Culture and Science 29 (2018) 475-485.  pdf
  26. Adams, S., and Olver, P.J., Prolonged analytic connected group actions are generically free, Transformation Groups 23 (2018), 893-913.   pdf
  27. Olver, P.J., and Tsatis, E., Points of constancy of the periodic linearized Korteweg-deVries equation, Proc. Roy. Soc. London A 474 (2018) 20180160.   pdf
  28. Olver, P.J., and Valiquette, F., Recursive moving frames for Lie pseudo-groups, Results Math. 73 (2018), 57.   pdf
  29. Kang, J., Liu, X., Olver, P.J., and Qu, C., Liouville correspondences between integrable hierarchies, SIGMA: Symmetry Integrability Geom. Methods Appl. 13 (2017), 035.   pdf
  30. Kang, J., Liu, X., Olver, P.J., and Qu, C., Bäcklund transformations for tri-Hamiltonian dual structures of multi-component integrable systems, J. Integ. Sys. 2 (2017), xyw016.   pdf
  31. Grim, A., O'Connor, T., Olver, P.J., Shakiban, C., Slechta, R., and Thompson, R., Reassembly of three-dimensional jigsaw puzzles, Int. J. Image Graphics 16 (2016), 1650009.   pdf    Matlab routines
  32. Kang, J., Liu, X., Olver, P.J., and Qu, C., Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy, J. Nonlinear Science 26 (2016), 141-170.   pdf
  33. Olver, P.J., Modern developments in the theory and applications of moving frames, London Math. Soc. Impact150 Stories 1 (2015), 14-50.   pdf
  34. Olver, P.J., The symmetry groupoid and weighted signature of a geometric object, J. Lie Theory 26 (2015), 235-267.   pdf
  35. Kogan, I.A., and Olver, P.J., Invariants of objects and their images under surjective maps, Lobachevskii J. Math. 36 (2015), 260-285.   Corrected version: pdf   Corrections and additions to published version: pdf
  36. Liu, X., Liu, Y., Olver, P.J., and Qu, C., Orbital stability of peakons for a generalization of the modified Camassa-Holm equation, Nonlinearity 27 (2014), 2297-2319.   pdf
  37. Liu, Y., Olver, P.J., Qu, C., and Zhang, S.; On the blow-up of solutions to the integrable modified Camassa-Holm equation, Analysis Appl. 12 (2014), 355-368.   pdf
  38. Hoff, D., and Olver, P.J., Automatic solution of jigsaw puzzles, J. Math. Imaging Vision 49 (2014), 234-250.   Corrected version: pdf   Corrections to published version: pdf     Matlab routines
  39. Chen, G., and Olver, P.J., Numerical simulation of nonlinear dispersive quantization, Discrete Cont. Dyn. Syst. A 34 (2013), 991-1008.   pdf
  40. Gui, G., Liu, Y., Olver, P.J., and Qu, C., Wave-breaking and peakons for a modified Camassa-Holm equation, Commun. Math. Phys. 319 (2013), 731-759.   pdf
  41. Hoff, D., and Olver, P.J., Extensions of invariant signatures for object recognition, J. Math. Imaging Vision 45 (2013), 176-185.   Corrected version: pdf   Corrections to published version: pdf     Matlab routines
  42. Chen, G., and Olver, P.J., Dispersion of discontinuous periodic waves, Proc. Roy. Soc. London A 469 (2012), 20120407.   pdf
  43. Fernandez, O.E., Bloch, A.M., and Olver, P.J., Variational integrators for Hamiltonizable nonholonomic systems, J. Geom. Mech. 4 (2012), 137-163.   pdf
  44. Olver, P.J., and Pohjanpelto, J., Persistence of freeness for pseudo-group actions, Arkiv Mat. 50 (2012), 165-182.   pdf
  45. Brinkman, D., and Olver, P.J., Invariant histograms, Amer. Math. Monthly 119 (2012), 4-24.   pdf
  46. Olver, P.J., Recursive moving frames, Results Math. 60 (2011), 423-452.   Corrected version: pdf   Corrections to published version: pdf
  47. Itskov, V., Olver, P.J., and Valiquette, F., Lie completion of pseudo-groups, Transformation Groups 16 (2011), 161-173.   pdf
  48. Olver, P.J., Differential invariant algebras, Contemp. Math. 549 (2011), 95-121.   pdf
  49. Bozhkov, Y., and Olver, P.J., Pohozhaev and Morawetz identities in elastostatics and elastodynamics, SIGMA: Symmetry Integrability Geom. Methods Appl. 7 (2011), 055.   pdf
  50. Mari-Beffa, G., and Olver, P.J., Poisson structures for geometric curve flows on semi-simple homogeneous spaces, Regular and Chaotic Dynamics 15 (2010), 532-550.   pdf
  51. Olver, P.J., Dispersive quantization, Amer. Math. Monthly 117 (2010), 599-610.   Corrected version: pdf   Corrections to published version: pdf
  52. Olver, P.J., Moving frames and differential invariants in centro-affine geometry, Lobachevskii J. Math. 31 (2010), 77-89.   pdf
  53. Olver, P.J., and Pohjanpelto, J., Differential invariant algebras of Lie pseudo-groups, Adv. in Math. 222 (2009), 1746-1792.   Corrected version: pdf   Corrections to published version: pdf
  54. Olver, P.J., Pohjanpelto, J., and Valiquette, F., On the structure of Lie pseudo-groups, SIGMA: Symmetry Integrability Geom. Methods Appl. 5 (2009), 077.   pdf
  55. Kamran, N., Olver, P.J., and Tenenblat, K., Local symplectic invariants for curves, Commun. Contemp. Math. 11 (2009), 165-183.   pdf
  56. Olver, P.J., Differential invariants of maximally symmetric submanifolds, J. Lie Theory 19 (2009), 79-99.   Corrected version: pdf   Corrections to published version: pdf
  57. Olver, P.J., Differential invariants of surfaces, Diff. Geom. Appl. 27 (2009), 230-239.   pdf
  58. Olver, P.J., and Pohjanpelto, J., Moving frames for Lie pseudo-groups, Canadian J. Math. 60 (2008), 1336-1386.   pdf
  59. Olver, P.J., Invariant submanifold flows, J. Phys. A 41 (2008), 344017.   Corrected version: pdf   Corrections to published version: pdf
  60. Cheh, J., Olver, P.J., and Pohjanpelto, J., Algorithms for differential invariants of symmetry groups of differential equations, Found. Comput. Math. 8 (2008), 501-532.   pdf
  61. Hubert, E., and Olver, P.J., Differential invariants of conformal and projective surfaces, SIGMA: Symmetry Integrability Geom. Methods Appl. 3 (2007), 097.   pdf
  62. Olver, P.J., Generating differential invariants, J. Math. Anal. Appl. 333 (2007), 450-471.   Corrected version: pdf   Corrections to published version: pdf
  63. Olver, P.J., Petitot, M., Solé, P., Generalized transvectants and Siegel modular forms, Adv. Appl. Math. 38 (2007), 404-418.   pdf
  64. Guha, P., and Olver, P.J., Geodesic flow and two (super) component analog of the Camassa-Holm equation, SIGMA: Symmetry Integrability Geom. Methods Appl. 2 (2006), 054.   pdf
  65. Muriel, C., Romero, J.L., and Olver, P.J., Variational C∞ symmetries and Euler-Lagrange equations, J. Diff. Eq. 222 (2006), 164-184.   pdf
  66. Olver, P.J., On multivariate interpolation, Stud. Appl. Math. 116 (2006), 201-240.   Corrected version: pdf   Corrections to published version: pdf
  67. Lewis, D., Nigam, N., and Olver, P.J., Connections for general group actions, Commun. Contemp. Math. 7 (2005), 341-374.   pdf
  68. Olver, P.J., and Pohjanpelto, J., Maurer-Cartan forms and the structure of Lie pseudo-groups, Selecta Math. 11 (2005), 99-126.   pdf
  69. Cheh, J., Olver, P.J., and Pohjanpelto, J., Maurer-Cartan equations for Lie symmetry pseudo-groups of differential equations, J. Math. Phys., 46 (2005), 023504.   pdf
  70. Kim, P., and Olver, P.J., Geometric integration via multi-space, Regular and Chaotic Dynamics 9 (2004), 213-226.   pdf
  71. Olver, P.J., Moving frames, J. Symb. Comp. 36 (2003), 501-512.   pdf
  72. Kogan, I., and Olver, P.J., Invariant Euler-Lagrange equations and the invariant variational bicomplex, Acta Appl. Math. 76 (2003), 137-193.   Corrected version: pdf   Corrections to published version: pdf
  73. Olver, P.J., The canonical contact form, Adv. Studies Pure Math. 37 (2002), 267-285   pdf
  74. Lewis, D., and Olver, P.J., Geometric integration algorithms on homogeneous manifolds, Found. Comput. Math. 2 (2002), 363-392.   pdf
  75. Olver, P.J., Sanders, J., and Wang, J.P., Ghost symmetries, J. Nonlinear Math. Phys. 9, Suppl. 1 (2002), 164-172.   pdf
  76. Kogan, I., and Olver, P.J., The invariant variational bicomplex, Contemp. Math. 285 (2001), 131-144.   Corrected version: pdf   Corrections to published version: pdf
  77. Foursov, M.V., Olver, P.J., and Reyes, E.G., On formal integrability of evolution equations and local geometry of surfaces, Diff. Geom. Appl., 15 (2001), 183-199.   pdf
  78. Olver, P.J., Geometric foundations of numerical algorithms and symmetry, Appl. Alg. Engin. Comp. Commun. 11 (2001), 417-436.   Updated version: pdf   Updates to published version: pdf
  79. Olver, P.J., Joint invariant signatures, Found. Comput. Math. 1 (2001), 3-67.   pdf
  80. Kamran, N., Milson, R., and Olver, P.J., Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems, Adv. in Math. 156 (2000), 286-319.   pdf
  81. Olver, P.J., and Wang, J.P., Classification of integrable one-component systems on associative algebras, Proc. London Math. Soc. 81 (2000), 566-586.   pdf
  82. Olver, P.J., and Sanders, J., Transvectants, modular forms, and the Heisenberg algebra, Adv. Appl. Math. 25 (2000), 252-283.   pdf
  83. Berchenko, I., and Olver, P.J., Symmetries of polynomials, J. Symb. Comp. 29 (2000), 485-514.   pdf
  84. Olver, P.J., Moving frames and singularities of prolonged group actions, Selecta Math. 6 (2000), 41-77.   Corrected version: pdf   Corrections to published version: pdf
  85. Li, Y.A., and Olver, P.J., Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation, J. Diff. Eq. 162 (2000), 27-63.   pdf
  86. Olver, P.J., and Raphael, R., The absolute value of functions, Real Analysis Exchange, 25 (1999/2000), 257-290.   pdf
  87. Olver, P.J., Moving frames and joint differential invariants, Regular and Chaotic Dynamics 4 (4) (1999), 3-18.   pdf
  88. Olver, P.J., Sapiro, G., and Tannenbaum, A., Affine invariant detection: edge maps, anisotropic diffusion, and active contours, Acta Appl. Math. 59 (1999), 45-77.   pdf
  89. Mari-Beffa, G., and Olver, P.J., Differential invariants for parametrized projective surfaces, Commun. Anal. Geom. 7 (1999), 807-839.   pdf
  90. Gunney, B.T.N., Li, Y.A., and Olver, P.J., Solitary waves in the critical surface tension model, J. Engin. Sci. 36 (1999), 99-112.   pdf
  91. Fels, M., and Olver, P.J., Moving coframes. II. Regularization and theoretical foundations, Acta Appl. Math. 55 (1999), 127-208.   Corrected version: pdf   Corrections to published version: pdf
  92. Olver, P.J., and Sokolov, V.V., Non-abelian integrable systems of the derivative nonlinear Schrödinger type, Inverse Problems 14 (1998), L5-L8.   pdf
  93. Hatfield, G.A., and Olver, P.J., Canonical forms and conservation laws in linear elastostatics, Arch. Mech. 50 (1998), 389-404.   pdf
  94. Fels, M., Olver, P.J., Moving coframes. I. A practical algorithm, Acta Appl. Math. 51 (1998), 161-213.   Corrected version: pdf   Corrections to published version: pdf
  95. Olver, P.J., and Sokolov, V.V., Integrable evolution equations on associative algebras, Commun. Math. Phys. 193 (1998), 245-268.   pdf
  96. Calabi, E., Olver, P.J., Shakiban, C., Tannenbaum, A., and Haker, S., Differential and numerically invariant signature curves applied to object recognition, Int. J. Computer Vision 26 (1998), 107-135.   Corrected version: pdf   Corrections to published version: pdf
  97. Li, Y.A., and Olver, P.J., Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II. Complex analytic behavior and convergence to non-analytic solutions, Discrete Cont. Dyn. Syst. 4 (1998), 159-191.   pdf
  98. Fels, M., and Olver, P.J., On relative invariants, Math. Ann. 308 (1997), 701-732.   pdf
  99. Li, Y.A., and Olver, P.J., Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I. Compactons and peakons, Discrete Cont. Dyn. Syst. 3 (1997), 419-432.   pdf
  100. Olver, P.J., Pseudo-stabilization of prolonged group actions. I. The order zero case, J. Nonlinear Math. Phys. 4 (1997), 271-277.   pdf
  101. Yezzi, A., Kichenassamy, S., Kumar, A., Olver, P.J., and Tannenbaum, A., A geometric snake model for segmentation of medical imagery, IEEE Trans. Medical Imaging 16 (1997), 199-209.   pdf
  102. Olver, P.J., Sapiro, G., and Tannenbaum, A., Invariant geometric evolutions of surfaces and volumetric smoothing, SIAM J. Appl. Math. 57 (1997), 176-194.   pdf
  103. Calabi, E., Olver, P.J., and Tannenbaum, A., Affine geometry, curve flows, and invariant numerical approximations, Adv. in Math. 124 (1996), 154-196.   Corrected version: pdf   Correction to published version: pdf
  104. Heredero, R.H., and Olver, P.J., Classification of invariant wave equations, J. Math. Phys. 37 (1996), 6414-6438.   pdf
  105. Kichenassamy, S., Kumar, A., Olver, P.J., Tannenbaum, A., and Yezzi, A., Conformal curvature flows: from phase transitions to active vision, Arch. Rat. Mech. Anal. 134 (1996), 275-301.   pdf
  106. Olver, P.J., Non-associative local Lie groups, J. Lie Theory 6 (1996), 23-51.   Corrected version: pdf   Correction to published version: pdf
  107. González-López, A., Kamran, N., and Olver, P.J., Real Lie algebras of differential operators, and quasi-exactly solvable potentials, Phil. Trans. Roy. Soc. London A 354 (1996), 1165-1193.   pdf
  108. Olver, P.J., and Rosenau, P., Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support, Phys. Rev. E 53 (1996), 1900-1906.   pdf
  109. Clarkson, P.A., and Olver, P.J., Symmetry and the Chazy equation, J. Diff. Eq. 124 (1996), 225-246.   pdf
  110. Olver, P.J., Differential invariants, Acta Applicandae Math. 41 (1995), 271-284.   pdf
  111. Olver, P.J., Differential invariants and invariant differential equations, Lie Groups and their Appl. 1 (1994), 177-192.   pdf
  112. Olver, P.J., Sapiro, G., and Tannenbaum, A., Classification and uniqueness of invariant geometric flows, Comptes Rendus Acad. Sci. (Paris), Série I, 319 (1994), 339-344.   pdf
  113. Olver, P.J., Direct reduction and differential constraints, Proc. Roy. Soc. London A 444 (1994), 509-523.   pdf
  114. González-López, A., Kamran, N., and Olver, P.J., Quasi-exact solvability, Contemp. Math. 160 (1994), 113-140.   pdf
  115. González-López, A., Kamran, N., and Olver, P.J., New quasi-exactly solvable Hamiltonians in two dimensions, Commun. Math. Phys. 159 (1994), 503-537.   pdf
  116. Anderson, I.M., Kamran, N., and Olver, P.J., Internal, external and generalized symmetries, Adv. in Math. 100 (1993), 53-100.   pdf
  117. González-López, A., Hurturbise, J., Kamran, N., and Olver, P.J., Quantification de la cohomologie des algèbres de Lie de champs de vecteurs et fibrés en droites sur des surfaces complexes compactes, Comptes Rendus Acad. Sci. (Paris), Série I, 316 (1993), 1307-1312.   Scanned:  pdf
  118. Olver, P.J., Equivalence and the Cartan form, Acta Applicandae Math. 31 (1993), 99-136.   pdf
  119. González-López, A., Kamran, N., and Olver, P.J., Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators, Commun. Math. Phys. 153 (1993), 117-146.   pdf
  120. Olver, P.J., and Shakiban, C., Dissipative decomposition of partial differential equations, Rocky Mountain J. Math. 22 (1992), 1483-1510.   pdf
  121. González-López, A., Kamran, N., and Olver, P.J., Lie algebras of differential operators in two complex variables, American J. Math. 114 (1992), 1163-1185.   pdf
  122. Olver, P.J., Symmetry and explicit solutions of partial differential equations, Appl. Numerical Math. 10 (1992), 307-324.   pdf
  123. Kichenassamy, S., and Olver, P.J., Existence and non-existence of solitary wave solutions to higher order model evolution equations, SIAM J. Math. Anal. 23 (1992), 1141-1166.   pdf
  124. Maliakis, M., and Olver, P.J., Explicit generalized Pieri maps, J. Algebra 148 (1992), 68-85.   pdf
  125. González-López, A., Kamran, N., and Olver, P.J., Lie algebras of vector fields in the real plane, Proc. London Math. Soc. 64 (1992), 339-368.   pdf
  126. Kamran, N., and Olver, P.J., Equivalence of higher order Lagrangians III. New invariant differential equations, Nonlinearity 5 (1992), 601-621.   pdf
  127. Olver, P.J., A nonlinear differential operator series which commutes with any function, SIAM J. Math. Anal. 23 (1992), 209-221.   pdf
  128. González-López, A., Kamran, N., and Olver, P.J., Quasi-exactly solvable Lie algebras of first order differential operators in two complex variables, J. Phys. A 24 (1991), 3995-4008.   pdf
  129. Kamran, N., and Olver, P.J., Equivalence of higher order Lagrangians I. Formulation and reduction, J. Math. Pures et Appliquees 70 (1991), 369-391.   pdf
  130. Jodeit, M., and Olver, P.J., On the equation grad f = M grad g, Proc. Roy. Soc. Edinburgh 116 (1990), 341-358.   pdf
  131. Olver, P.J., Canonical forms and integrability of biHamiltonian systems, Phys. Lett. 148A (1990), 177-187.   pdf
  132. Kaup, D.J., and Olver, P.J., Quantization of biHamiltonian systems, J. Math. Phys. 31 (1990), 113-117.   pdf
  133. Kamran, N., and Olver, P.J., Lie algebras of differential operators and Lie-algebraic potentials, J. Math. Anal. Appl. 145 (1990), 342-356.   pdf
  134. Olver, P.J., Classical invariant theory and the equivalence problem for particle Lagrangians. I. Binary Forms, Adv. in Math. 80 (1990), 39-77.   pdf
  135. Arik, M., Neyzi, F., Nutku, Y., Olver, P.J., and Verosky, J.M., Multi-Hamiltonian structure of the Born-Infeld equation, J. Math. Phys. 30 (1989), 1338-1344.   pdf
  136. Hsu, L., Kamran, N., and Olver, P.J., Equivalence of higher order Lagrangians II. The Cartan form for particle Lagrangians, J. Math. Phys. 30 (1989), 902-906.   pdf
  137. Kamran, N., and Olver, P.J., Le probleme d'équivalence à une divergence près dans le calcul des variations des intégrales multiples, Comptes Rendus Acad. Sci. (Paris), Série I, 308 (1989), 249-252.   Scanned:  pdf
  138. Kamran, N., and Olver, P.J., Equivalence of differential operators, SIAM J. Math. Anal. 20 (1989), 1172-1185.   pdf
  139. Kamran, N., and Olver, P.J., Equivalence problems for first order Lagrangians on the line, J. Diff. Eq. 80 (1989), 32-78.   pdf
  140. Olver, P.J., and Shakiban, C., Graph theory and classical invariant theory, Adv. in Math. 75 (1989), 212-245.   pdf
  141. Olver, P.J., and Nutku, Y., Hamiltonian structures for systems of hyperbolic conservation laws, J. Math. Phys. 29 (1988), 1610-1619.   pdf
  142. Olver, P.J., and Shakiban, C., Dissipative decomposition of ordinary differential equations, Proc. Roy. Soc. Edinburgh 109A (1988), 297-317.   pdf
  143. Olver, P.J., Unidirectionalization of Hamiltonian waves, Phys. Lett. 126A (1988), 501-506.   pdf
  144. Olver, P.J., and Sivaloganathan, J., The classification of null Lagrangians, Nonlinearity 1 (1988), 389-398.   pdf
  145. Olver, P.J., Classical invariant theory and the equivalence problem for particle Lagrangians, Bull. Amer. Math. Soc. 18 (1988), 21-26.   pdf
  146. Olver, P.J., Conservation laws in elasticity. III. Planar linear anisotropic elastostatics, Arch. Rat. Mech. Anal. 102 (1988), 167-181.   pdf
  147. Olver, P.J., Canonical elastic moduli, J. Elasticity 19 (1988), 189-212.   pdf
  148. Olver, P.J., The equivalence problem and canonical forms for quadratic Lagrangians, Adv. Appl. Math. 9 (1988), 226-257.   pdf
  149. Olver, P.J., Darboux' theorem for Hamiltonian differential operators, J. Diff. Eq. 71 (1988), 10-33.   pdf
  150. Olver, P.J., and Rosenau, P., Group-invariant solutions of differential equations, SIAM J. Appl. Math. 47 (1987), 263-278.   pdf
  151. Olver, P.J., Dirac's theory of constraints in field theory and the canonical form of Hamiltonian differential operators, J. Math. Phys. 27 (1986), 2495-2501.   pdf
  152. Olver, P.J., and Rosenau, P., The construction of special solutions to partial differential equations, Phys. Lett. 114A (1986), 107-112.   pdf
  153. Clarkson, P., McLeod, J.B., Olver, P.J., and Ramani, A., Integrability of Klein-Gordon equations, SIAM J. Math. Anal. 17 (1986), 798-802.   pdf
  154. Olver, P.J., Conservation laws and null divergences II. Nonnegative divergences, Math. Proc. Camb. Phil. Soc. 97 (1985), 511-514.   pdf
  155. Olver, P.J., Hamiltonian perturbation theory and water waves, Contemp. Math. 28 (1984), 231-249.   Scanned:  pdf
  156. Olver, P.J., Conservation laws in elasticity. II. Linear homogeneous isotropic elastostatics, Arch Rat. Mech. Anal. 85 (1984), 131-160.   pdf   Errata, Arch Rat. Mech. Anal., 102 (1988), 385-387.   pdf
  157. Olver, P.J., Conservation laws in elasticity. I. General results, Arch Rat. Mech. Anal. 85 (1984), 111-129.   pdf
  158. Olver, P.J., Conservation laws and null divergences, Math. Proc. Camb. Phil. Soc. 94 (1983), 529-540.   pdf
  159. Olver, P.J., Hyperjacobians, determinantal ideals and weak solutions to variational problems, Proc. Roy. Soc. Edinburgh 95A (1983), 317-340.    pdf
  160. Olver, P.J., Conservation laws of free boundary problems and the classification of conservation laws for water waves, Trans. Amer. Math. Soc. 277 (1983), 353-380.   pdf
  161. McLeod, J.B., and Olver, P.J., The connection between partial differential equations soluble by inverse scattering and ordinary differential equations of Painlevé type, SIAM J. Math. Anal. 14 (1983), 488-506.   pdf
  162. Olver, P.J., A nonlinear Hamiltonian structure for the Euler equations, J. Math. Anal. Appl. 89 (1982), 233-250.   pdf
  163. Benjamin, T.B., and Olver, P.J., Hamiltonian structure, symmetries and conservation laws for water waves, J. Fluid Mech. 125 (1982), 137-185.   pdf
  164. Ball, J.M., Currie, J.C., and Olver, P.J., Null Lagrangians, weak continuity, and variational problems of arbitrary order, J. Func. Anal. 41 (1981), 135-174.   pdf
  165. Olver, P.J., On the Hamiltonian structure of evolution equations, Math. Proc. Camb. Phil. Soc. 88 (1980), 71-88.   pdf
  166. Olver, P.J., Euler operators and conservation laws of the BBM equation, Math. Proc. Camb. Phil. Soc. 85 (1979), 143-160.   pdf
  167. Olver, P.J., Symmetry groups and group invariant solutions of partial differential equations, J. Diff. Geom. 14 (1979), 497-542.   pdf
  168. Olver, P.J., and Shakiban, C., A resolution of the Euler operator I, Proc. Amer. Math. Soc. 69 (1978), 223-229.   pdf
  169. Olver, P.J., Evolution equations possessing infinitely many symmetries, J. Math. Phys. 18 (1977), 1212-1215. Reprinted in: Solitons and Particles, C. Rebbi and G. Soliani, eds., World Scientific, Singapore, 1984, pp. 235-238.   pdf