Peter Olver's Published Papers

Last updated:   April 1, 2012
  1. Gui, G., Liu, Y., Olver, P.J., and Qu, C., Wave-breaking and peakons for a modified Camassa--Holm equation, Commun. Math. Phys., to appear.   pdf
  2. Fernandez, O.E., Bloch, A.M., and Olver, P.J., Variational integrators for Hamiltonizable nonholonomic systems, J. Geom. Mech., to appear.   pdf
  3. Olver, P.J., and Pohjanpelto, J., Persistence of freeness for pseudo-group actions, Arkiv Mat. 50 (2012) 165-182.   pdf
  4. Brinkman, D., and Olver, P.J., Invariant histograms, Amer. Math. Monthly 119 (2012) 4-24.   pdf
  5. Olver, P.J., Recursive moving frames, Results Math. 60 (2011) 423-452.   pdf
  6. Itskov, V., Olver, P.J., and Valiquette, F., Lie completion of pseudo-groups, Transformation Groups 16 (2011) 161-173.   pdf
  7. Olver, P.J., Differential invariant algebras, Comtemp. Math. 549 (2011) 95-121.   pdf
  8. Bozhkov, Y., and Olver, P.J., Pohozhaev and Morawetz identities in elastostatics and elastodynamics, SIGMA 7 (2011) 055.   pdf
  9. 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
  10. Olver, P.J., Dispersive quantization, Amer. Math. Monthly 117 (2010) 599-610.   Corrected version: pdf   Corrections to published version: pdf
  11. Olver, P.J., Moving frames and differential invariants in centro-affine geometry, Lobachevsky J. Math. 31 (2010) 77-89.   pdf
  12. Olver, P.J., and Pohjanpelto, J., Differential invariant algebras of Lie pseudo-groups, Adv. in Math. 222 (2009) 1746-1792.   pdf
  13. Olver, P.J., Pohjanpelto, J., and Valiquette, F., On the structure of Lie pseudo-groups, SIGMA 5 (2009) 077.   pdf
  14. Kamran, N., Olver, P.J., and Tenenblat, K., Local symplectic invariants for curves, Commun. Contemp. Math. 11 (2009) 165-183.   pdf
  15. Olver, P.J., Differential invariants of maximally symmetric submanifolds, J. Lie Theory 19 (2009) 79-99.   pdf
  16. Olver, P.J., Differential invariants of surfaces, Diff. Geom. Appl. 27 (2009) 230-239.   pdf
  17. Olver, P.J., and Pohjanpelto, J., Moving frames for Lie pseudo-groups, Canadian J. Math. 60 (2008) 1336-1386.   pdf
  18. Olver, P.J., Invariant submanifold flows, J. Phys. A 41 (2008) 344017.   Corrected version: pdf   Corrections to published version: pdf
  19. 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
  20. Hubert, E., and Olver, P.J., Differential invariants of conformal and projective surfaces, SIGMA 3 (2007) 097.   pdf
  21. Olver, P.J., Generating differential invariants, J. Math. Anal. Appl. 333 (2007) 450-471.   pdf
  22. Olver, P.J., Petitot, M., Solé, P., Generalized transvectants and Siegel modular forms, Adv. Appl. Math. 38 (2007) 404-418.   pdf
  23. Guha, P., and Olver, P.J., Geodesic flow and two (super) component analog of the Camassa-Holm equation, SIGMA 2 (2006) 054.   pdf
  24. Muriel, C., Romero, J.L., and Olver, P.J., Variational C∞ symmetries and Euler-Lagrange equations, J. Diff. Eq. 222 (2006) 164-184.   pdf
  25. Olver, P.J., On multivariate interpolation, Stud. Appl. Math. 116 (2006) 201-240.   Corrected version: pdf   Corrections to published version: pdf
  26. Lewis, D., Nigam, N., and Olver, P.J., Connections for general group actions, Commun. Contemp. Math. 7 (2005) 341-374.   pdf
  27. Olver, P.J., and Pohjanpelto, J., Maurer-Cartan forms and the structure of Lie pseudo-groups, Selecta Math. 11 (2005) 99-126.   pdf
  28. 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
  29. Kim, P., and Olver, P.J., Geometric integration via multi-space, Regular and Chaotic Dynamics 9 (2004) 213-226.   pdf
  30. Olver, P.J., Moving frames, J. Symb. Comp. 36 (2003) 501-512.   pdf
  31. 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
  32. Olver, P.J., The canonical contact form, Adv. Studies Pure Math. 37 (2002) 267-285   pdf
  33. Lewis, D., and Olver, P.J., Geometric integration algorithms on homogeneous manifolds, Found. Comput. Math. 3 (2002) 363-392.   pdf
  34. Olver, P.J., Sanders, J., and Wang, J.P., Ghost symmetries, J. Nonlinear Math. Phys. 9, Suppl. 1 (2002) 164-172.   pdf
  35. Kogan, I., and Olver, P.J., The invariant variational bicomplex, Contemp. Math. 285 (2001) 131-144.   Corrected version: pdf   Corrections to published version: pdf
  36. 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
  37. Olver, P.J., Geometric foundations of numerical algorithms and symmetry, Appl. Alg. Engin. Comp. Commun. 11 (2001) 417-436.   pdf
  38. Olver, P.J., Joint invariant signatures, Found. Comput. Math. 1 (2001) 3-67.   pdf
  39. 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
  40. 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
  41. Olver, P.J., and Sanders, J., Transvectants, modular forms, and the Heisenberg algebra, Adv. Appl. Math. 25 (2000) 252-283.   pdf
  42. Berchenko, I., and Olver, P.J., Symmetries of polynomials, J. Symb. Comp. 29 (2000) 485-514.   pdf
  43. Olver, P.J., Moving frames and singularities of prolonged group actions, Selecta Math. 6 (2000) 41-77.   pdf
  44. 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
  45. Olver, P.J., and Raphael, R., The absolute value of functions, Real Analysis Exchange, 25 (1999/2000) 257-290.   pdf
  46. Olver, P.J., Moving frames and joint differential invariants, Regular and Chaotic Dynamics 4 (4) (1999) 3-18.   pdf
  47. 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
  48. Mari-Beffa, G., and Olver, P.J., Differential invariants for parametrized projective surfaces, Commun. Anal. Geom. 7 (1999) 807-839.   pdf
  49. 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
  50. 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
  51. Olver, P.J., and Sokolov, V.V., Non-abelian integrable systems of the derivative nonlinear Schrödinger type, Inverse Problems 14 (1998) L5-L8.   pdf
  52. Hatfield, G.A., and Olver, P.J., Canonical forms and conservation laws in linear elastostatics, Arch. Mech. 50 (1998) 389-404.   pdf
  53. 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
  54. Olver, P.J., and Sokolov, V.V., Integrable evolution equations on associative algebras, Commun. Math. Phys. 193 (1998) 245-268.   pdf
  55. 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
  56. 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
  57. Fels, M., and Olver, P.J., On relative invariants, Math. Ann. 308 (1997) 701-732.   pdf
  58. 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
  59. Olver, P.J., Pseudo-stabilization of prolonged group actions. I. The order zero case, J. Nonlinear Math. Phys. 4 (1997) 271-277.   pdf
  60. 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
  61. 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
  62. 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
  63. Heredero, R.H., and Olver, P.J., Classification of invariant wave equations, J. Math. Phys. 37 (1996) 6414-6438.   pdf
  64. 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
  65. Olver, P.J., Non-associative local Lie groups, J. Lie Theory 6 (1996) 23-51.   Corrected version: pdf   Correction to published version: pdf
  66. Gonzalez-Lopez, 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
  67. 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
  68. Clarkson, P.A., and Olver, P.J., Symmetry and the Chazy equation, J. Diff. Eq. 124 (1996), 225-246.   pdf
  69. Olver, P.J., Differential invariants, Acta Applicandae Math. 41 (1995), 271-284.   pdf
  70. Olver, P.J., Differential invariants and invariant differential equations, Lie Groups and their Appl. 1 (1994), 177-192.   pdf
  71. Olver, P.J., Sapiro, G., and Tannenbaum, A., Classification and uniqueness of invariant geometric flows, Comptes Rendus Acad. Sci. (Paris), Serie I, 319 (1994), 339-344.   pdf
  72. Olver, P.J., Direct reduction and differential constraints, Proc. Roy. Soc. London A 444 (1994), 509-523.   pdf
  73. Gonzalez-Lopez, A., Kamran, N., and Olver, P.J., Quasi-exact solvability, Contemp. Math. 160 (1994), 113-140.   pdf
  74. Gonzalez-Lopez, A., Kamran, N., and Olver, P.J., New quasi-exactly solvable Hamiltonians in two dimensions, Commun. Math. Phys. 159 (1994), 503-537.   pdf
  75. Anderson, I.M., Kamran, N., and Olver, P.J., Internal, external and generalized symmetries, Adv. in Math. 100 (1993), 53-100.   pdf
  76. Gonzalez-Lopez, A., Hurturbise, J., Kamran, N., and Olver, P.J., Quantification de la cohomologie des algebres de Lie de champs de vecteurs et fibres en droites sur des surfaces complexes compactes, Comptes Rendus Acad. Sci. (Paris), Serie I, 316 (1993), 1307-1312.   
  77. Olver, P.J., Equivalence and the Cartan form, Acta Applicandae Math. 31 (1993), 99-136.   pdf
  78. Gonzalez-Lopez, A., Kamran, N., and Olver, P.J., Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators, Commun. Math. Phys. 153 (1993), 117-146.   pdf
  79. Olver, P.J., and Shakiban, C., Dissipative decomposition of partial differential equations, Rocky Mountain J. Math. 22 (1992), 1483-1510.   pdf
  80. Gonzalez-Lopez, A., Kamran, N., and Olver, P.J., Lie algebras of differential operators in two complex variables, American J. Math. 114 (1992), 1163-1185.   pdf
  81. Olver, P.J., Symmetry and explicit solutions of partial differential equations, Appl. Numerical Math. 10 (1992), 307-324.   pdf
  82. 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
  83. Maliakis, M., and Olver, P.J., Explicit generalized Pieri maps, J. Algebra 148 (1992), 68-85.   pdf
  84. Gonzalez-Lopez, 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
  85. Kamran, N., and Olver, P.J., Equivalence of higher order Lagrangians III. New invariant differential equations, Nonlinearity 5 (1992), 601-621.   pdf
  86. Olver, P.J., A nonlinear differential operator series which commutes with any function, SIAM J. Math. Anal. 23 (1992), 209-221.   pdf
  87. Gonzalez-Lopez, 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
  88. 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
  89. Jodeit, M., and Olver, P.J., On the equation grad f = M grad g, Proc. Roy. Soc. Edinburgh 116 (1990), 341-358.   
  90. Olver, P.J., Canonical forms and integrability of biHamiltonian systems, Phys. Lett. 148A (1990), 177-187.   pdf
  91. Kaup, D.J., and Olver, P.J., Quantization of biHamiltonian systems, J. Math. Phys. 31 (1990), 113-117.   pdf
  92. Kamran, N., and Olver, P.J., Lie algebras of differential operators and Lie-algebraic potentials, J. Math. Anal. Appl. 145 (1990), 342-356.   pdf
  93. Olver, P.J., Classical invariant theory and the equivalence problem for particle Lagrangians. I. Binary Forms, Adv. in Math. 80 (1990), 39-77.   pdf
  94. 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
  95. 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
  96. Kamran, N., and Olver, P.J., Le probleme d'equivalence a une divergence pres dans le calcul des variations des integrales multiples, Comptes Rendus Acad. Sci. (Paris), Serie I, 308 (1989), 249-252.   
  97. Kamran, N., and Olver, P.J., Equivalence of differential operators, SIAM J. Math. Anal. 20 (1989), 1172-1185.   pdf
  98. Kamran, N., and Olver, P.J., Equivalence problems for first order Lagrangians on the line, J. Diff. Eq. 80 (1989), 32-78.   pdf
  99. Olver, P.J., and Shakiban, C., Graph theory and classical invariant theory, Adv. in Math. 75 (1989), 212-245.   pdf
  100. Olver, P.J., and Nutku, Y., Hamiltonian structures for systems of hyperbolic conservation laws, J. Math. Phys. 29 (1988), 1610-1619.   pdf
  101. Olver, P.J., and Shakiban, C., Dissipative decomposition of ordinary differential equations, Proc. Roy. Soc. Edinburgh 109A (1988), 297-317.   
  102. Olver, P.J., Unidirectionalization of Hamiltonian waves, Phys. Lett. 126A (1988), 501-506.   pdf
  103. Olver, P.J., and Sivaloganathan, J., The classification of null Lagrangians, Nonlinearity 1 (1988), 389-398.   pdf
  104. Olver, P.J., Classical invariant theory and the equivalence problem for particle Lagrangians, Bull. Amer. Math. Soc. 18 (1988), 21-26.   pdf
  105. Olver, P.J., Conservation laws in elasticity. III. Planar linear anisotropic elastostatics, Arch. Rat. Mech. Anal. 102 (1988), 167-181.   pdf
  106. Olver, P.J., Canonical elastic moduli, J. Elasticity 19 (1988), 189-212.   pdf
  107. Olver, P.J., The equivalence problem and canonical forms for quadratic Lagrangians, Adv. Appl. Math. 9 (1988), 226-257.   pdf
  108. Olver, P.J., Darboux' theorem for Hamiltonian differential operators, J. Diff. Eq. 71 (1988), 10-33.   pdf
  109. Olver, P.J., and Rosenau, P., Group-invariant solutions of differential equations, SIAM J. Appl. Math. 47 (1987), 263-278.   pdf
  110. 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
  111. Olver, P.J., and Rosenau, P., The construction of special solutions to partial differential equations, Phys. Lett. 114A (1986), 107-112.   pdf
  112. 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
  113. Olver, P.J., Conservation laws and null divergences II. Nonnegative divergences, Math. Proc. Camb. Phil. Soc. 97 (1985), 511-514.   pdf
  114. Olver, P.J., Hamiltonian perturbation theory and water waves, Contemp. Math. 28 (1984), 231-249.   Scanned: pdf
  115. 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
  116. Olver, P.J., Conservation laws in elasticity. I. General results, Arch Rat. Mech. Anal. 85 (1984), 111-129.   pdf
  117. Olver, P.J., Conservation laws and null divergences, Math. Proc. Camb. Phil. Soc. 94 (1983), 529-540.   pdf
  118. Olver, P.J., Hyperjacobians, determinantal ideals and weak solutions to variational problems, Proc. Roy. Soc. Edinburgh 95A (1983), 317-340.   
  119. 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
  120. 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
  121. Olver, P.J., A nonlinear Hamiltonian structure for the Euler equations, J. Math. Anal. Appl. 89 (1982), 233-250.   pdf
  122. Benjamin, T.B., and Olver, P.J., Hamiltonian structure, symmetries and conservation laws for water waves, J. Fluid Mech. 125 (1982), 137-185.   pdf
  123. 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
  124. Olver, P.J., On the Hamiltonian structure of evolution equations, Math. Proc. Camb. Phil. Soc. 88 (1980), 71-88.   pdf
  125. Olver, P.J., Euler operators and conservation laws of the BBM equation, Math. Proc. Camb. Phil. Soc. 85 (1979), 143-160.   pdf
  126. Olver, P.J., Symmetry groups and group invariant solutions of partial differential equations, J. Diff. Geom. 14 (1979), 497-542.   
  127. Olver, P.J., and Shakiban, C., A resolution of the Euler operator I, Proc. Amer. Math. Soc. 69 (1978), 223-229.   pdf
  128. 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