Peter Olver's Published Papers

Last updated:   October 17, 2019
  1. O'Neill, R., Angulo-Umana, 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., to appear.   pdf
  2. Gün Polat, G., and Olver, P.J., Joint differential invariants of binary and ternary forms, Portugaliae Math., to appear.   pdf
  3. Olver, P.J., Sheils, N.E., and Smith, D.A., Revivals and fractalisation in the linear free space Schrödinger equation, Quart. Appl. Math., to appear.   pdf      movies
  4. Tuznik, S.L., Olver, P.J., and Tannenbaum, A., Equi-affine differential invariants for invariant feature point detection, European J. Appl. Math., to appear.   pdf
  5. Olver, P.J., and Sheils, N.E., Dispersive Lamb systems, J. Geom. Mech. 11 (2019) 239-254.   pdf      movies
  6. 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
  7. Grinberg, D., and Olver, P.J., The n body matrix and its determinant, SIAM J. Appl. Algebra Geometry 3 (2019) 67-86.   pdf
  8. 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
  9. Olver, P.J., Emmy Noether's enduring legacy in symmetry, Symmetry: Culture and Science 29 (2018) 475-485.  pdf
  10. Adams, S., and Olver, P.J., Prolonged analytic connected group actions are generically free, Transformation Groups 23 (2018), 893-913.   pdf
  11. 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
  12. Olver, P.J., and Valiquette, F., Recursive moving frames for Lie pseudo-groups, Results Math. 73 (2018), 57.   pdf
  13. 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
  14. 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
  15. 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
  16. 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
  17. Olver, P.J., Modern developments in the theory and applications of moving frames, London Math. Soc. Impact150 Stories 1 (2015), 14-50.   pdf
  18. Olver, P.J., The symmetry groupoid and weighted signature of a geometric object, J. Lie Theory 26 (2015), 235-267.   pdf
  19. 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
  20. 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
  21. 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
  22. 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
  23. Chen, G., and Olver, P.J., Numerical simulation of nonlinear dispersive quantization, Discrete Cont. Dyn. Syst. A 34 (2013), 991-1008.   pdf
  24. 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
  25. 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
  26. Chen, G., and Olver, P.J., Dispersion of discontinuous periodic waves, Proc. Roy. Soc. London A 469 (2012), 20120407.   pdf
  27. Fernandez, O.E., Bloch, A.M., and Olver, P.J., Variational integrators for Hamiltonizable nonholonomic systems, J. Geom. Mech. 4 (2012), 137-163.   pdf
  28. Olver, P.J., and Pohjanpelto, J., Persistence of freeness for pseudo-group actions, Arkiv Mat. 50 (2012), 165-182.   pdf
  29. Brinkman, D., and Olver, P.J., Invariant histograms, Amer. Math. Monthly 119 (2012), 4-24.   pdf
  30. Olver, P.J., Recursive moving frames, Results Math. 60 (2011), 423-452.   Corrected version: pdf   Corrections to published version: pdf
  31. Itskov, V., Olver, P.J., and Valiquette, F., Lie completion of pseudo-groups, Transformation Groups 16 (2011), 161-173.   pdf
  32. Olver, P.J., Differential invariant algebras, Contemp. Math. 549 (2011), 95-121.   pdf
  33. Bozhkov, Y., and Olver, P.J., Pohozhaev and Morawetz identities in elastostatics and elastodynamics, SIGMA: Symmetry Integrability Geom. Methods Appl. 7 (2011), 055.   pdf
  34. 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
  35. Olver, P.J., Dispersive quantization, Amer. Math. Monthly 117 (2010), 599-610.   Corrected version: pdf   Corrections to published version: pdf
  36. Olver, P.J., Moving frames and differential invariants in centro-affine geometry, Lobachevskii J. Math. 31 (2010), 77-89.   pdf
  37. 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
  38. 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
  39. Kamran, N., Olver, P.J., and Tenenblat, K., Local symplectic invariants for curves, Commun. Contemp. Math. 11 (2009), 165-183.   pdf
  40. Olver, P.J., Differential invariants of maximally symmetric submanifolds, J. Lie Theory 19 (2009), 79-99.   Corrected version: pdf   Corrections to published version: pdf
  41. Olver, P.J., Differential invariants of surfaces, Diff. Geom. Appl. 27 (2009), 230-239.   pdf
  42. Olver, P.J., and Pohjanpelto, J., Moving frames for Lie pseudo-groups, Canadian J. Math. 60 (2008), 1336-1386.   pdf
  43. Olver, P.J., Invariant submanifold flows, J. Phys. A 41 (2008), 344017.   Corrected version: pdf   Corrections to published version: pdf
  44. 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
  45. Hubert, E., and Olver, P.J., Differential invariants of conformal and projective surfaces, SIGMA: Symmetry Integrability Geom. Methods Appl. 3 (2007), 097.   pdf
  46. Olver, P.J., Generating differential invariants, J. Math. Anal. Appl. 333 (2007), 450-471.   Corrected version: pdf   Corrections to published version: pdf
  47. Olver, P.J., Petitot, M., Solé, P., Generalized transvectants and Siegel modular forms, Adv. Appl. Math. 38 (2007), 404-418.   pdf
  48. 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
  49. Muriel, C., Romero, J.L., and Olver, P.J., Variational C symmetries and Euler-Lagrange equations, J. Diff. Eq. 222 (2006), 164-184.   pdf
  50. Olver, P.J., On multivariate interpolation, Stud. Appl. Math. 116 (2006), 201-240.   Corrected version: pdf   Corrections to published version: pdf
  51. Lewis, D., Nigam, N., and Olver, P.J., Connections for general group actions, Commun. Contemp. Math. 7 (2005), 341-374.   pdf
  52. Olver, P.J., and Pohjanpelto, J., Maurer-Cartan forms and the structure of Lie pseudo-groups, Selecta Math. 11 (2005), 99-126.   pdf
  53. 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
  54. Kim, P., and Olver, P.J., Geometric integration via multi-space, Regular and Chaotic Dynamics 9 (2004), 213-226.   pdf
  55. Olver, P.J., Moving frames, J. Symb. Comp. 36 (2003), 501-512.   pdf
  56. 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
  57. Olver, P.J., The canonical contact form, Adv. Studies Pure Math. 37 (2002), 267-285   pdf
  58. Lewis, D., and Olver, P.J., Geometric integration algorithms on homogeneous manifolds, Found. Comput. Math. 3 (2002), 363-392.   pdf
  59. Olver, P.J., Sanders, J., and Wang, J.P., Ghost symmetries, J. Nonlinear Math. Phys. 9, Suppl. 1 (2002), 164-172.   pdf
  60. Kogan, I., and Olver, P.J., The invariant variational bicomplex, Contemp. Math. 285 (2001), 131-144.   Corrected version: pdf   Corrections to published version: pdf
  61. 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
  62. Olver, P.J., Geometric foundations of numerical algorithms and symmetry, Appl. Alg. Engin. Comp. Commun. 11 (2001), 417-436.   pdf
  63. Olver, P.J., Joint invariant signatures, Found. Comput. Math. 1 (2001), 3-67.   pdf
  64. 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
  65. 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
  66. Olver, P.J., and Sanders, J., Transvectants, modular forms, and the Heisenberg algebra, Adv. Appl. Math. 25 (2000), 252-283.   pdf
  67. Berchenko, I., and Olver, P.J., Symmetries of polynomials, J. Symb. Comp. 29 (2000), 485-514.   pdf
  68. Olver, P.J., Moving frames and singularities of prolonged group actions, Selecta Math. 6 (2000), 41-77.   pdf
  69. 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
  70. Olver, P.J., and Raphael, R., The absolute value of functions, Real Analysis Exchange, 25 (1999/2000), 257-290.   pdf
  71. Olver, P.J., Moving frames and joint differential invariants, Regular and Chaotic Dynamics 4 (4) (1999), 3-18.   pdf
  72. 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
  73. Mari-Beffa, G., and Olver, P.J., Differential invariants for parametrized projective surfaces, Commun. Anal. Geom. 7 (1999), 807-839.   pdf
  74. 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
  75. 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
  76. Olver, P.J., and Sokolov, V.V., Non-abelian integrable systems of the derivative nonlinear Schrödinger type, Inverse Problems 14 (1998), L5-L8.   pdf
  77. Hatfield, G.A., and Olver, P.J., Canonical forms and conservation laws in linear elastostatics, Arch. Mech. 50 (1998), 389-404.   pdf
  78. 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
  79. Olver, P.J., and Sokolov, V.V., Integrable evolution equations on associative algebras, Commun. Math. Phys. 193 (1998), 245-268.   pdf
  80. 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
  81. 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
  82. Fels, M., and Olver, P.J., On relative invariants, Math. Ann. 308 (1997), 701-732.   pdf
  83. 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
  84. Olver, P.J., Pseudo-stabilization of prolonged group actions. I. The order zero case, J. Nonlinear Math. Phys. 4 (1997), 271-277.   pdf
  85. 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
  86. 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
  87. 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
  88. Heredero, R.H., and Olver, P.J., Classification of invariant wave equations, J. Math. Phys. 37 (1996), 6414-6438.   pdf
  89. 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
  90. Olver, P.J., Non-associative local Lie groups, J. Lie Theory 6 (1996), 23-51.   Corrected version: pdf   Correction to published version: pdf
  91. 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
  92. 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
  93. Clarkson, P.A., and Olver, P.J., Symmetry and the Chazy equation, J. Diff. Eq. 124 (1996), 225-246.   pdf
  94. Olver, P.J., Differential invariants, Acta Applicandae Math. 41 (1995), 271-284.   pdf
  95. Olver, P.J., Differential invariants and invariant differential equations, Lie Groups and their Appl. 1 (1994), 177-192.   pdf
  96. 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
  97. Olver, P.J., Direct reduction and differential constraints, Proc. Roy. Soc. London A 444 (1994), 509-523.   pdf
  98. González-López, A., Kamran, N., and Olver, P.J., Quasi-exact solvability, Contemp. Math. 160 (1994), 113-140.   pdf
  99. 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
  100. Anderson, I.M., Kamran, N., and Olver, P.J., Internal, external and generalized symmetries, Adv. in Math. 100 (1993), 53-100.   pdf
  101. 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
  102. Olver, P.J., Equivalence and the Cartan form, Acta Applicandae Math. 31 (1993), 99-136.   pdf
  103. 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
  104. Olver, P.J., and Shakiban, C., Dissipative decomposition of partial differential equations, Rocky Mountain J. Math. 22 (1992), 1483-1510.   pdf
  105. 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
  106. Olver, P.J., Symmetry and explicit solutions of partial differential equations, Appl. Numerical Math. 10 (1992), 307-324.   pdf
  107. 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
  108. Maliakis, M., and Olver, P.J., Explicit generalized Pieri maps, J. Algebra 148 (1992), 68-85.   pdf
  109. 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
  110. Kamran, N., and Olver, P.J., Equivalence of higher order Lagrangians III. New invariant differential equations, Nonlinearity 5 (1992), 601-621.   pdf
  111. Olver, P.J., A nonlinear differential operator series which commutes with any function, SIAM J. Math. Anal. 23 (1992), 209-221.   pdf
  112. 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
  113. 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
  114. Jodeit, M., and Olver, P.J., On the equation grad f = M grad g, Proc. Roy. Soc. Edinburgh 116 (1990), 341-358.   Scanned:  pdf
  115. Olver, P.J., Canonical forms and integrability of biHamiltonian systems, Phys. Lett. 148A (1990), 177-187.   pdf
  116. Kaup, D.J., and Olver, P.J., Quantization of biHamiltonian systems, J. Math. Phys. 31 (1990), 113-117.   pdf
  117. Kamran, N., and Olver, P.J., Lie algebras of differential operators and Lie-algebraic potentials, J. Math. Anal. Appl. 145 (1990), 342-356.   pdf
  118. Olver, P.J., Classical invariant theory and the equivalence problem for particle Lagrangians. I. Binary Forms, Adv. in Math. 80 (1990), 39-77.   pdf
  119. 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
  120. 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
  121. 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
  122. Kamran, N., and Olver, P.J., Equivalence of differential operators, SIAM J. Math. Anal. 20 (1989), 1172-1185.   pdf
  123. Kamran, N., and Olver, P.J., Equivalence problems for first order Lagrangians on the line, J. Diff. Eq. 80 (1989), 32-78.   pdf
  124. Olver, P.J., and Shakiban, C., Graph theory and classical invariant theory, Adv. in Math. 75 (1989), 212-245.   pdf
  125. Olver, P.J., and Nutku, Y., Hamiltonian structures for systems of hyperbolic conservation laws, J. Math. Phys. 29 (1988), 1610-1619.   pdf
  126. Olver, P.J., and Shakiban, C., Dissipative decomposition of ordinary differential equations, Proc. Roy. Soc. Edinburgh 109A (1988), 297-317.   Scanned:  pdf
  127. Olver, P.J., Unidirectionalization of Hamiltonian waves, Phys. Lett. 126A (1988), 501-506.   pdf
  128. Olver, P.J., and Sivaloganathan, J., The classification of null Lagrangians, Nonlinearity 1 (1988), 389-398.   pdf
  129. Olver, P.J., Classical invariant theory and the equivalence problem for particle Lagrangians, Bull. Amer. Math. Soc. 18 (1988), 21-26.   pdf
  130. Olver, P.J., Conservation laws in elasticity. III. Planar linear anisotropic elastostatics, Arch. Rat. Mech. Anal. 102 (1988), 167-181.   pdf
  131. Olver, P.J., Canonical elastic moduli, J. Elasticity 19 (1988), 189-212.   pdf
  132. Olver, P.J., The equivalence problem and canonical forms for quadratic Lagrangians, Adv. Appl. Math. 9 (1988), 226-257.   pdf
  133. Olver, P.J., Darboux' theorem for Hamiltonian differential operators, J. Diff. Eq. 71 (1988), 10-33.   pdf
  134. Olver, P.J., and Rosenau, P., Group-invariant solutions of differential equations, SIAM J. Appl. Math. 47 (1987), 263-278.   pdf
  135. 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
  136. Olver, P.J., and Rosenau, P., The construction of special solutions to partial differential equations, Phys. Lett. 114A (1986), 107-112.   pdf
  137. 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
  138. Olver, P.J., Conservation laws and null divergences II. Nonnegative divergences, Math. Proc. Camb. Phil. Soc. 97 (1985), 511-514.   pdf
  139. Olver, P.J., Hamiltonian perturbation theory and water waves, Contemp. Math. 28 (1984), 231-249.   Scanned:  pdf
  140. 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
  141. Olver, P.J., Conservation laws in elasticity. I. General results, Arch Rat. Mech. Anal. 85 (1984), 111-129.   pdf
  142. Olver, P.J., Conservation laws and null divergences, Math. Proc. Camb. Phil. Soc. 94 (1983), 529-540.   pdf
  143. Olver, P.J., Hyperjacobians, determinantal ideals and weak solutions to variational problems, Proc. Roy. Soc. Edinburgh 95A (1983), 317-340.   Scanned:  pdf
  144. 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
  145. McLeod, J.B., and Olver, P.J., The connection between partial differential equations soluble by inverse scattering and ordinary differential equations of Painleve type, SIAM J. Math. Anal. 14 (1983), 488-506.   pdf
  146. Olver, P.J., A nonlinear Hamiltonian structure for the Euler equations, J. Math. Anal. Appl. 89 (1982), 233-250.   Scanned:  pdf
  147. Benjamin, T.B., and Olver, P.J., Hamiltonian structure, symmetries and conservation laws for water waves, J. Fluid Mech. 125 (1982), 137-185.   pdf
  148. 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
  149. Olver, P.J., On the Hamiltonian structure of evolution equations, Math. Proc. Camb. Phil. Soc. 88 (1980), 71-88.   pdf
  150. Olver, P.J., Euler operators and conservation laws of the BBM equation, Math. Proc. Camb. Phil. Soc. 85 (1979), 143-160.   pdf
  151. Olver, P.J., Symmetry groups and group invariant solutions of partial differential equations, J. Diff. Geom. 14 (1979), 497-542.   pdf
  152. Olver, P.J., and Shakiban, C., A resolution of the Euler operator I, Proc. Amer. Math. Soc. 69 (1978), 223-229.   pdf
  153. 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