| Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source DJ Arrigo, JM Hill, P Broadbridge IMA Journal of Applied Mathematics 52 (1), 1-24, 1994 | 133 | 1994 |
| Symmetry analysis of differential equations: an introduction DJ Arrigo John Wiley & Sons, 2015 | 125 | 2015 |
| Nonclassical symmetry solutions and the methods of Bluman–Cole and Clarkson–Kruskal DJ Arrigo, P Broadbridge, JM Hill Journal of mathematical physics 34 (10), 4692-4703, 1993 | 116 | 1993 |
| Nonclassical symmetries for nonlinear diffusion and absorption DJ Arrigo, JM Hill Studies in Applied Mathematics 94 (1), 21-39, 1995 | 67 | 1995 |
| Nonclassical symmetries of evolutionary partial differential equations and compatibility DJ Arrigo, JR Beckham Journal of mathematical analysis and applications 289 (1), 55-65, 2004 | 39 | 2004 |
| New families of exact solutions for finitely deformed incompressible elastic materials JM Hill, DJ Arrigo IMA journal of applied mathematics 54 (2), 109-123, 1995 | 37 | 1995 |
| Type-II hidden symmetries of the linear 2D and 3D wave equations B Abraham-Shrauner, KS Govinder, DJ Arrigo Journal of Physics A: Mathematical and General 39 (20), 5739, 2006 | 31 | 2006 |
| Transformations and equation reductions in finite elasticity I: Plane strain deformations JM Hill, DJ Arrigo Mathematics and Mechanics of Solids 1 (2), 155-175, 1996 | 28 | 1996 |
| Nonclassical symmetries of a class of Burgers' systems DJ Arrigo, DA Ekrut, JR Fliss, L Le Journal of mathematical analysis and applications 371 (2), 813-820, 2010 | 27 | 2010 |
| On the determining equations for the nonclassical reductions of the heat and Burgers' equation DJ Arrigo, F Hickling Journal of mathematical analysis and applications 270 (2), 582-589, 2002 | 23 | 2002 |
| An nth-order Darboux transformation for the one-dimensional time-dependent Schrödinger equation DJ Arrigo, F Hickling Journal of Physics A: Mathematical and General 36 (6), 1615, 2003 | 20 | 2003 |
| All solutions of standard symmetric linear partial differential equations have classical Lie symmetry P Broadbridge, DJ Arrigo Journal of mathematical analysis and applications 234 (1), 109-122, 1999 | 20 | 1999 |
| Transformations and equation reductions in finite elasticity II: Plane stress and axially symmetric deformations DJ Arrigo, JM Hill Mathematics and Mechanics of Solids 1 (2), 177-192, 1996 | 19 | 1996 |
| Nonclassical solutions are non-existent for the heat equation and rare for nonlinear diffusion DJ Arrigo, JM Goard, P Broadbridge Journal of mathematical analysis and applications 202 (1), 259-279, 1996 | 16 | 1996 |
| Group properties of uxx− umyuyy= f (u) DJ Arrigo International journal of non-linear mechanics 26 (5), 619-629, 1991 | 16 | 1991 |
| Darboux transformations and linear parabolic partial differential equations DJ Arrigo, F Hickling Journal of Physics A: Mathematical and General 35 (28), L389, 2002 | 12 | 2002 |
| Small deformations superimposed upon the symmetrical expansion of a spherical shell JM HILL, DJ ARRIGO Quarterly journal of mechanics and applied mathematics 49 (3), 337-351, 1996 | 11 | 1996 |
| On axially symmetric deformations of perfectly elastic compressible materials JM HILL, DJ ARRIGO The Quarterly Journal of Mechanics and Applied Mathematics 49 (1), 19-28, 1996 | 11 | 1996 |
| Transformations and equation reductions in finite elasticity III: A general integral for plane strain deformations JM Hill, DJ Arrigo Mathematics and Mechanics of Solids 4 (1), 3-15, 1999 | 10 | 1999 |
| Analytical techniques for solving nonlinear partial differential equations DJ Arrigo Springer Nature, 2022 | 9 | 2022 |
