Edit Profile (opens in new tab) Broadbridge, Philip Co-Author Distance Author ID: broadbridge.philip Published as: Broadbridge, P.; Broadbridge, Philip; Broadbridge, Phil more...less Homepage: https://scholars.latrobe.edu.au/display/pbroadbridge External Links: MGP · ORCID · dblp Documents Indexed: 95 Publications since 1981, including 1 Book and 3 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 73 Co-Authors with 84 Joint Publications 1,691 Co-Co-Authors all top 5 Co-Authors 15 single-authored 17 Goard, Joanna M. 8 Bradshaw-Hajek, Bronwyn H. 7 Arrigo, Daniel J. 5 Edwards, Maureen P. 5 Hill, James Murray 5 Olenko, Andriy Yakovych 5 Triadis, Dimetre 5 Tritscher, Peter 4 Rogers, Colin 3 Fulford, Glenn Robert 3 Lavrent’ev, Mikhail Mikhaĭlovich jun. 3 Williams, Graham H. 2 Bradshaw, B. H. 2 Cesana, Pierluigi 2 El-Feki, A. Ali 2 Gallage, Dilruk 2 Haque, Ejanul 2 Hutchinson, Ashleigh Jane 2 Kolesnik, Alexander D. 2 Leonenko, Nikolai N. 2 Moitsheki, Raseelo J. 2 Walter, G. W. 1 Aldis, Geoffrey K. 1 Anco, Stephen C. 1 Anderssen, Robert Scott 1 Avagliano, Aaron J. 1 Banks, P. J. 1 Barrett, T. M. 1 Becirevic, Sarah 1 Bluman, George Wallace 1 Chanu, Claudia Maria 1 Cherniha, Roman M. 1 Donhauzer, Illia 1 Fowkes, Neville Donald 1 Fukumoto, Yasuhide 1 Godfrey, S. E. 1 Guttmann, Anthony John 1 Hoxley, David 1 Hurst, Charles Angas 1 Ivanova, Nataliya M. 1 Kajiwara, Kenji 1 Kamiyama, Naoyuki 1 Karciga, Y. 1 King, John Robert 1 Lassig, C. C. 1 Li, Ming 1 Li, Xia 1 Lomen, David O. 1 Mann, B. Q. 1 Marin, Marin I. 1 Maruno, Kenichi 1 Miller, Willard jun. 1 Mizoguchi, Yoshihiro 1 Nanayakkara, Ravindi 1 Öchsner, Andreas 1 Omari, Dareen 1 Pincombe, Brandon Malcolm 1 Polthier, Konrad 1 Raina, Gaurav 1 Roman-Miller, Lance 1 Sachdev, P. L. 1 Saeki, Osamu 1 Srivastava, Rajesh 1 Stewart, John M. 1 Tehseen, Naghmana 1 Tilley, Burt S. 1 Tonkes, Elliot 1 Wang, Justin 1 Wang, Yuguang 1 Ward, Michael J. 1 Warrick, A. W. 1 Yeh, T.-C. Jim 1 Zulkowski, Patrick R. all top 5 Serials 11 Mathematical and Computer Modelling 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Mathematical Analysis and Applications 5 Journal of Engineering Mathematics 5 Journal of Mathematical Physics 5 The ANZIAM Journal 4 Applied Mathematical Modelling 4 Journal of Physics A: Mathematical and General 3 Journal of the Australian Mathematical Society, Series B 3 Entropy 3 Mathematical Medicine and Biology 2 IMA Journal of Applied Mathematics 2 Hadronic Journal 2 Studies in Applied Mathematics 2 European Journal of Applied Mathematics 2 Annals of Physics 2 Nonlinear Dynamics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Symmetry 1 Bulletin of the Australian Mathematical Society 1 International Journal of Heat and Mass Transfer 1 Journal of Statistical Physics 1 Reports on Mathematical Physics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quaestiones Mathematicae 1 Physica D 1 Applied Mathematics Letters 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Review 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Complex Variables and Elliptic Equations 1 Australian Mathematical Society Lecture Series 1 Nonlinear Analysis. Theory, Methods & Applications 1 MI Lecture Note 1 Mathematics for Industry 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 67 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 17 Global analysis, analysis on manifolds (58-XX) 13 Biology and other natural sciences (92-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Quantum theory (81-XX) 7 General and overarching topics; collections (00-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 5 Mechanics of particles and systems (70-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Numerical analysis (65-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 488 times in 321 Documents Cited by ▼ Year ▼ Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060 Arrigo, D. J.; Hill, J. M.; Broadbridge, P. 47 1994 Nonclassical symmetry solutions and the methods of Bluman-Cole and Clarkson-Kruskal. Zbl 0784.35097 Arrigo, D. J.; Broadbridge, P.; Hill, J. M. 33 1993 On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation. Zbl 0661.35087 Rogers, C.; Broadbridge, P. 21 1988 Huxley and Fisher equations for gene propagation: an exact solution. Zbl 1043.35041 Broadbridge, P.; Bradshaw, B. H.; Fulford, G. R.; Aldis, G. K. 17 2002 A robust cubic reaction-diffusion system for gene propagation. Zbl 1065.92030 Bradshaw-Hajek, B. H.; Broadbridge, P. 17 2004 Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions. Zbl 0878.35058 Goard, Joanna; Broadbridge, Philip 16 1996 Grain boundary grooving by surface diffusion: An analytic nonlinear model for a symmetric groove. Zbl 0841.35054 Tritscher, P.; Broadbridge, P. 14 1995 Exact solutions for logistic reaction-diffusion equations in biology. Zbl 1365.35067 Broadbridge, P.; Bradshaw-Hajek, B. H. 14 2016 Random spherical hyperbolic diffusion. Zbl 1427.35377 Broadbridge, Phil; Kolesnik, Alexander D.; Leonenko, Nikolai; Olenko, Andriy 14 2019 Exceptional symmetry reductions of Burgers’ equation in two and three spatial dimensions. Zbl 0843.35099 Edwards, M. P.; Broadbridge, P. 13 1995 Integrable forms of the one-dimensional flow equation for unsaturated heterogeneous porous media. Zbl 0651.76041 Broadbridge, P. 13 1988 An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces. Zbl 0818.35130 Broadbridge, P.; Tritscher, P. 13 1994 Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence. Zbl 1119.35025 Bradshaw-Hajek, B. H.; Edwards, M. P.; Broadbridge, P.; Williams, G. H. 12 2007 Exact solvability of the Mullins nonlinear diffusion model of groove development. Zbl 0693.35091 Broadbridge, P. 12 1989 Systematic construction of hidden nonlocal symmetries for the inhomogeneous nonlinear diffusion equation. Zbl 1064.35009 Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. 12 2004 Nonlinear superposition principles obtained by Lie symmetry methods. Zbl 0893.35020 Goard, Joanna M.; Broadbridge, Philip 11 1997 A similarity solution of a multiphase Stefan problem incorporating general nonlinear heat conduction. Zbl 0926.76119 Tritscher, P.; Broadbridge, P. 10 1994 Exact solutions for vertical drainage and redistribution in soils. Zbl 0707.73059 Broadbridge, P.; Rogers, C. 10 1990 All solutions of standard symmetric linear partial differential equations have classical Lie symmetry. Zbl 0932.35007 Broadbridge, Philip; Arrigo, Daniel J. 8 1999 On a nonlinear reaction-diffusion boundary-value problem: Application of a Lie–Bäcklund symmetry. Zbl 0790.35103 Broadbridge, Philip; Rogers, Colin 8 1993 Nonclassical solutions are non-existent for the heat equation and rare for nonlinear diffusion. Zbl 0864.35019 Arrigo, D. J.; Goard, J. M.; Broadbridge, P. 8 1996 Exact integration of reduced Fisher’s equation, reduced Blasius equation, and the Lorenz model. Zbl 0968.34002 Roman-Miller, Lance; Broadbridge, Philip 7 2000 Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions. Zbl 0838.35100 Edwards, M. P.; Broadbridge, P. 7 1994 The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity. Zbl 0857.35140 Broadbridge, P.; Pincombe, B. M. 7 1996 Industrial mathematics. Case studies in diffusion of heat and matter. Zbl 0982.00007 Fulford, Glenn R.; Broadbridge, Philip 7 2002 Exact non-classical symmetry solutions of Arrhenius reaction-diffusion. Zbl 1371.35159 Broadbridge, P.; Bradshaw-Hajek, B. H.; Triadis, D. 7 2015 The role of symmetry and separation in surface evolution and curve shortening. Zbl 1219.35014 Broadbridge, Philip; Vassiliou, Peter 6 2011 Entropy diagnostics for fourth order partial differential equations in conservation form. Zbl 1179.35164 Broadbridge, Phil 6 2008 Symmetry analysis and numerical modelling of invasion by malignant tumour tissue. Zbl 1005.92017 Stewart, J. M.; Broadbridge, P.; Goard, J. M. 6 2002 Non-integrability of nonlinear diffusion-convection equations in two spatial dimensions. Zbl 0617.35122 Broadbridge, P. 6 1986 Existence of a complex structure for quadratic Hamiltonians? Zbl 0506.70018 Broadbridge, P.; Hurst, C. A. 6 1981 Nonclassical symmetry solutions for fourth-order phase field reaction-diffusion. Zbl 1392.35180 Broadbridge, Philip; Triadis, Dimetre; Gallage, Dilruk; Cesana, Pierluigi 6 2018 Similarity: Generalizations, applications and open problems. Zbl 1188.00015 Bluman, G.; Broadbridge, P.; King, J. R.; Ward, M. J. 5 2010 Existence theorems for Segal quantization via spectral theory in Krein space. Zbl 0512.47031 Broadbridge, P. 5 1983 Free boundary problems with nonlinear diffusion. Zbl 0805.35162 Broadbridge, P.; Tritscher, P.; Avagliano, A. 5 1993 Burgers’ equation and layered media: Exact solutions and applications to soil-water flow. Zbl 0762.35100 Broadbridge, Philip; Srivastava, Rajesh; Yeh, T.-C. Jim 4 1992 Solutions of Helmholtz and Schrödinger equations with side condition and nonregular separation of variables. Zbl 1291.35244 Broadbridge, Philip; Chanu, Claudia M.; Miller, Willard jun. 4 2012 Fourth order diffusion equations with increasing entropy. Zbl 1302.35200 Tehseen, Naghmana; Broadbridge, Philip 4 2012 Infiltration from supply at constant water content: An integrable model. Zbl 1168.76367 Broadbridge, P.; Triadis, D.; Hill, J. M. 4 2009 Temperature-dependent surface diffusion near a grain boundary. Zbl 1188.74004 Broadbridge, P.; Goard, J. M. 4 2010 Problems in the quantization of quadratic Hamiltonians. Zbl 0455.58015 Broadbridge, P. 4 1981 Integrable nonlinear reaction-diffusion population models for fisheries. Zbl 1525.92051 Broadbridge, P.; Hutchinson, A. J. 4 2022 The integrable nonlinear degenerate diffusion equation \(u_ t=[f(u)u_ x^{-1}]_ x\) and its relatives. Zbl 0880.35095 Goard, Joanna M.; Broadbridge, Philip; Arrigo, Daniel J. 4 1996 Analytic solutions for calcium ion fertilisation waves on the surface of eggs. Zbl 1503.92035 Bradshaw-Hajek, Bronwyn H.; Broadbridge, Philip 4 2019 Symmetry reductions of equations for solute transport in soil. Zbl 0953.35008 Broadbridge, P.; Hill, J. M.; Goard, J. M. 3 2000 Integrable heterogeneous nonlinear Schrödinger equations with dielectric loss: Lie-Bäcklund symmetries. Zbl 0734.35132 Broadbridge, P.; Godfrey, S. E. 3 1991 Algebraic quantisation with indefinite metric. Zbl 0527.46057 Broadbridge, P. 3 1983 The forced Burgers equation, plant roots and Schrödinger’s eigenfunctions. Zbl 0932.35179 Broadbridge, P. 2 1999 Group invariant solutions for two-dimensional solute transport under realistic water flows. Zbl 1101.35064 Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. 2 2006 Approximations for diffusion from a disc source. Zbl 0766.76089 Warrick, A. W.; Broadbridge, P.; Lomen, D. O. 2 1992 Editorial: Concepts of entropy and their applications. Zbl 1179.82005 2 2009 Tractable forms of the bond pricing equation. Zbl 1112.91035 Goard, J.; Broadbridge, P.; Raina, G. 2 2004 Evolving gene frequencies in a population with three possible alleles at a locus. Zbl 1134.92027 Bradshaw-Hajek, B. H.; Broadbridge, P.; Williams, G. H. 2 2008 Well-posed dual-phase-lag model of a thermoelastic dipolar body. Zbl 07776773 Marin, Marin; Broadbridge, Philip; Öchsner, Andreas 2 2017 On multifractionality of spherical random fields with cosmological applications. Zbl 1505.60055 Broadbridge, Philip; Nanayakkara, Ravindi; Olenko, Andriy 2 2022 Boundary value problems for strongly degenerate parabolic equations. Zbl 0907.35069 Lavrentiev, M. jun.; Broadbridge, P.; Belov, V. 2 1997 Stratified mobility fishery models with harvesting outside of no-take areas. Zbl 1505.92251 Broadbridge, P.; Hutchinson, A. J.; Li, X.; Mann, B. Q. 2 2022 Classical and quantum Burgers fluids: a challenge for group analysis. Zbl 1375.35016 Broadbridge, Philip 2 2015 Nonlinear heat conduction through an externally heated radiant plasma: Background analysis for a numerical study. Zbl 0940.35108 Broadbridge, Phil; Lavrentiev, Mikhail M. jun.; Williams, Graham H. 1 1999 On transport through heterogeneous media: application of conjugated reciprocal transformations. Zbl 1448.35313 Rogers, Colin; Broadbridge, Philip 1 2020 Expansion of high pressure gas into air - A more realistic blast wave model. Zbl 1185.76800 Haque, Ejanul; Broadbridge, Philip; Sachdev, P. L. 1 2009 Exact solution of a boundary value problem describing the uniform cylindrical or spherical piston motion. Zbl 1221.76176 Haque, Ejanul; Broadbridge, Philip 1 2011 Dark energy states from quantization of boson fields in a universe with unstable modes. Zbl 1206.83157 Broadbridge, P.; Zulkowski, P. 1 2006 Quantization, non-locality and Lie-admissible formulations. Zbl 0507.70012 Broadbridge, P. 1 1982 Exact solution of a degenerate fully nonlinear diffusion equation. Zbl 1058.35122 Broadbridge, Philip; Goard, Joanna M. 1 2004 Degenerate nonlinear diffusion with an initially sharp front. Zbl 0893.76086 Broadbridge, P.; Goard, J. M.; Lavrentiev, M. jun. 1 1997 Applications of integrable nonlinear diffusion equations in industrial modelling. Zbl 1330.35447 Broadbridge, P. 1 2014 An analytic solution for a Gompertz-like reaction-diffusion model for tumour growth. Zbl 1469.35011 Bradshaw-Hajek, Bronwyn H.; Broadbridge, Philip 1 2021 Integrable discrete model for one-dimensional soil water infiltration. Zbl 1398.35181 Triadis, Dimetre; Broadbridge, Philip; Kajiwara, Kenji; Maruno, Ken-ichi 1 2018 Exact nonclassical symmetry solutions of Lotka-Volterra-type population systems. Zbl 1522.35022 Broadbridge, P.; Cherniha, R. M.; Goard, J. M. 1 2023 Exact nonclassical symmetry solutions of Lotka-Volterra-type population systems. Zbl 1522.35022 Broadbridge, P.; Cherniha, R. M.; Goard, J. M. 1 2023 Integrable nonlinear reaction-diffusion population models for fisheries. Zbl 1525.92051 Broadbridge, P.; Hutchinson, A. J. 4 2022 On multifractionality of spherical random fields with cosmological applications. Zbl 1505.60055 Broadbridge, Philip; Nanayakkara, Ravindi; Olenko, Andriy 2 2022 Stratified mobility fishery models with harvesting outside of no-take areas. Zbl 1505.92251 Broadbridge, P.; Hutchinson, A. J.; Li, X.; Mann, B. Q. 2 2022 An analytic solution for a Gompertz-like reaction-diffusion model for tumour growth. Zbl 1469.35011 Bradshaw-Hajek, Bronwyn H.; Broadbridge, Philip 1 2021 On transport through heterogeneous media: application of conjugated reciprocal transformations. Zbl 1448.35313 Rogers, Colin; Broadbridge, Philip 1 2020 Random spherical hyperbolic diffusion. Zbl 1427.35377 Broadbridge, Phil; Kolesnik, Alexander D.; Leonenko, Nikolai; Olenko, Andriy 14 2019 Analytic solutions for calcium ion fertilisation waves on the surface of eggs. Zbl 1503.92035 Bradshaw-Hajek, Bronwyn H.; Broadbridge, Philip 4 2019 Nonclassical symmetry solutions for fourth-order phase field reaction-diffusion. Zbl 1392.35180 Broadbridge, Philip; Triadis, Dimetre; Gallage, Dilruk; Cesana, Pierluigi 6 2018 Integrable discrete model for one-dimensional soil water infiltration. Zbl 1398.35181 Triadis, Dimetre; Broadbridge, Philip; Kajiwara, Kenji; Maruno, Ken-ichi 1 2018 Well-posed dual-phase-lag model of a thermoelastic dipolar body. Zbl 07776773 Marin, Marin; Broadbridge, Philip; Öchsner, Andreas 2 2017 Exact solutions for logistic reaction-diffusion equations in biology. Zbl 1365.35067 Broadbridge, P.; Bradshaw-Hajek, B. H. 14 2016 Exact non-classical symmetry solutions of Arrhenius reaction-diffusion. Zbl 1371.35159 Broadbridge, P.; Bradshaw-Hajek, B. H.; Triadis, D. 7 2015 Classical and quantum Burgers fluids: a challenge for group analysis. Zbl 1375.35016 Broadbridge, Philip 2 2015 Applications of integrable nonlinear diffusion equations in industrial modelling. Zbl 1330.35447 Broadbridge, P. 1 2014 Solutions of Helmholtz and Schrödinger equations with side condition and nonregular separation of variables. Zbl 1291.35244 Broadbridge, Philip; Chanu, Claudia M.; Miller, Willard jun. 4 2012 Fourth order diffusion equations with increasing entropy. Zbl 1302.35200 Tehseen, Naghmana; Broadbridge, Philip 4 2012 The role of symmetry and separation in surface evolution and curve shortening. Zbl 1219.35014 Broadbridge, Philip; Vassiliou, Peter 6 2011 Exact solution of a boundary value problem describing the uniform cylindrical or spherical piston motion. Zbl 1221.76176 Haque, Ejanul; Broadbridge, Philip 1 2011 Similarity: Generalizations, applications and open problems. Zbl 1188.00015 Bluman, G.; Broadbridge, P.; King, J. R.; Ward, M. J. 5 2010 Temperature-dependent surface diffusion near a grain boundary. Zbl 1188.74004 Broadbridge, P.; Goard, J. M. 4 2010 Infiltration from supply at constant water content: An integrable model. Zbl 1168.76367 Broadbridge, P.; Triadis, D.; Hill, J. M. 4 2009 Editorial: Concepts of entropy and their applications. Zbl 1179.82005 2 2009 Expansion of high pressure gas into air - A more realistic blast wave model. Zbl 1185.76800 Haque, Ejanul; Broadbridge, Philip; Sachdev, P. L. 1 2009 Entropy diagnostics for fourth order partial differential equations in conservation form. Zbl 1179.35164 Broadbridge, Phil 6 2008 Evolving gene frequencies in a population with three possible alleles at a locus. Zbl 1134.92027 Bradshaw-Hajek, B. H.; Broadbridge, P.; Williams, G. H. 2 2008 Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence. Zbl 1119.35025 Bradshaw-Hajek, B. H.; Edwards, M. P.; Broadbridge, P.; Williams, G. H. 12 2007 Group invariant solutions for two-dimensional solute transport under realistic water flows. Zbl 1101.35064 Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. 2 2006 Dark energy states from quantization of boson fields in a universe with unstable modes. Zbl 1206.83157 Broadbridge, P.; Zulkowski, P. 1 2006 A robust cubic reaction-diffusion system for gene propagation. Zbl 1065.92030 Bradshaw-Hajek, B. H.; Broadbridge, P. 17 2004 Systematic construction of hidden nonlocal symmetries for the inhomogeneous nonlinear diffusion equation. Zbl 1064.35009 Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. 12 2004 Tractable forms of the bond pricing equation. Zbl 1112.91035 Goard, J.; Broadbridge, P.; Raina, G. 2 2004 Exact solution of a degenerate fully nonlinear diffusion equation. Zbl 1058.35122 Broadbridge, Philip; Goard, Joanna M. 1 2004 Huxley and Fisher equations for gene propagation: an exact solution. Zbl 1043.35041 Broadbridge, P.; Bradshaw, B. H.; Fulford, G. R.; Aldis, G. K. 17 2002 Industrial mathematics. Case studies in diffusion of heat and matter. Zbl 0982.00007 Fulford, Glenn R.; Broadbridge, Philip 7 2002 Symmetry analysis and numerical modelling of invasion by malignant tumour tissue. Zbl 1005.92017 Stewart, J. M.; Broadbridge, P.; Goard, J. M. 6 2002 Exact integration of reduced Fisher’s equation, reduced Blasius equation, and the Lorenz model. Zbl 0968.34002 Roman-Miller, Lance; Broadbridge, Philip 7 2000 Symmetry reductions of equations for solute transport in soil. Zbl 0953.35008 Broadbridge, P.; Hill, J. M.; Goard, J. M. 3 2000 All solutions of standard symmetric linear partial differential equations have classical Lie symmetry. Zbl 0932.35007 Broadbridge, Philip; Arrigo, Daniel J. 8 1999 The forced Burgers equation, plant roots and Schrödinger’s eigenfunctions. Zbl 0932.35179 Broadbridge, P. 2 1999 Nonlinear heat conduction through an externally heated radiant plasma: Background analysis for a numerical study. Zbl 0940.35108 Broadbridge, Phil; Lavrentiev, Mikhail M. jun.; Williams, Graham H. 1 1999 Nonlinear superposition principles obtained by Lie symmetry methods. Zbl 0893.35020 Goard, Joanna M.; Broadbridge, Philip 11 1997 Boundary value problems for strongly degenerate parabolic equations. Zbl 0907.35069 Lavrentiev, M. jun.; Broadbridge, P.; Belov, V. 2 1997 Degenerate nonlinear diffusion with an initially sharp front. Zbl 0893.76086 Broadbridge, P.; Goard, J. M.; Lavrentiev, M. jun. 1 1997 Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions. Zbl 0878.35058 Goard, Joanna; Broadbridge, Philip 16 1996 Nonclassical solutions are non-existent for the heat equation and rare for nonlinear diffusion. Zbl 0864.35019 Arrigo, D. J.; Goard, J. M.; Broadbridge, P. 8 1996 The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity. Zbl 0857.35140 Broadbridge, P.; Pincombe, B. M. 7 1996 The integrable nonlinear degenerate diffusion equation \(u_ t=[f(u)u_ x^{-1}]_ x\) and its relatives. Zbl 0880.35095 Goard, Joanna M.; Broadbridge, Philip; Arrigo, Daniel J. 4 1996 Grain boundary grooving by surface diffusion: An analytic nonlinear model for a symmetric groove. Zbl 0841.35054 Tritscher, P.; Broadbridge, P. 14 1995 Exceptional symmetry reductions of Burgers’ equation in two and three spatial dimensions. Zbl 0843.35099 Edwards, M. P.; Broadbridge, P. 13 1995 Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060 Arrigo, D. J.; Hill, J. M.; Broadbridge, P. 47 1994 An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces. Zbl 0818.35130 Broadbridge, P.; Tritscher, P. 13 1994 A similarity solution of a multiphase Stefan problem incorporating general nonlinear heat conduction. Zbl 0926.76119 Tritscher, P.; Broadbridge, P. 10 1994 Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions. Zbl 0838.35100 Edwards, M. P.; Broadbridge, P. 7 1994 Nonclassical symmetry solutions and the methods of Bluman-Cole and Clarkson-Kruskal. Zbl 0784.35097 Arrigo, D. J.; Broadbridge, P.; Hill, J. M. 33 1993 On a nonlinear reaction-diffusion boundary-value problem: Application of a Lie–Bäcklund symmetry. Zbl 0790.35103 Broadbridge, Philip; Rogers, Colin 8 1993 Free boundary problems with nonlinear diffusion. Zbl 0805.35162 Broadbridge, P.; Tritscher, P.; Avagliano, A. 5 1993 Burgers’ equation and layered media: Exact solutions and applications to soil-water flow. Zbl 0762.35100 Broadbridge, Philip; Srivastava, Rajesh; Yeh, T.-C. Jim 4 1992 Approximations for diffusion from a disc source. Zbl 0766.76089 Warrick, A. W.; Broadbridge, P.; Lomen, D. O. 2 1992 Integrable heterogeneous nonlinear Schrödinger equations with dielectric loss: Lie-Bäcklund symmetries. Zbl 0734.35132 Broadbridge, P.; Godfrey, S. E. 3 1991 Exact solutions for vertical drainage and redistribution in soils. Zbl 0707.73059 Broadbridge, P.; Rogers, C. 10 1990 Exact solvability of the Mullins nonlinear diffusion model of groove development. Zbl 0693.35091 Broadbridge, P. 12 1989 On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation. Zbl 0661.35087 Rogers, C.; Broadbridge, P. 21 1988 Integrable forms of the one-dimensional flow equation for unsaturated heterogeneous porous media. Zbl 0651.76041 Broadbridge, P. 13 1988 Non-integrability of nonlinear diffusion-convection equations in two spatial dimensions. Zbl 0617.35122 Broadbridge, P. 6 1986 Existence theorems for Segal quantization via spectral theory in Krein space. Zbl 0512.47031 Broadbridge, P. 5 1983 Algebraic quantisation with indefinite metric. Zbl 0527.46057 Broadbridge, P. 3 1983 Quantization, non-locality and Lie-admissible formulations. Zbl 0507.70012 Broadbridge, P. 1 1982 Existence of a complex structure for quadratic Hamiltonians? Zbl 0506.70018 Broadbridge, P.; Hurst, C. A. 6 1981 Problems in the quantization of quadratic Hamiltonians. Zbl 0455.58015 Broadbridge, P. 4 1981 all cited Publications top 5 cited Publications all top 5 Cited by 401 Authors 41 Broadbridge, Philip 15 Cherniha, Roman M. 12 Popovych, Roman O. 12 Sophocleous, Christodoulos 11 Goard, Joanna M. 10 Qu, Changzheng 10 Tarzia, Domingo Alberto 9 Bradshaw-Hajek, Bronwyn H. 8 Rogers, Colin 6 Arrigo, Daniel J. 6 Davydovych, Vasyl V. 6 Ji, Lina 6 Olenko, Andriy Yakovych 6 Simpson, Matthew J. 5 Briozzo, Adriana C. 5 Estévez, Pilar G. 5 Ivanova, Nataliya M. 5 Moitsheki, Raseelo J. 5 Natale, María Fernanda 4 Gandarias Núñez, Maria Luz 4 Govinder, Keshlan Sathasiva 4 Leonenko, Nikolai N. 4 Lesnic, Daniel 4 Vaneeva, Olena O. 4 Zhou, Yang 3 Abraham-Shrauner, Barbara 3 Boukrouche, Mahdi 3 Boyko, Vyacheslav M. 3 Clarkson, Peter A. 3 Gallage, Dilruk 3 Gorgone, Matteo 3 Huntul, Mousa J. 3 Jia, Huabing 3 King, John Robert 3 Kunzinger, Michael 3 McCue, Scott William 3 Nucci, Maria Clara 3 Oliveri, Francesco 3 Pocheketa, Oleksandr A. 3 Schief, Wolfgang Karl 3 Serov, Mykola I. 3 Tam, Alexander K. Y. 3 Triadis, Dimetre 2 Asvadurov, Sergey 2 Bluman, George Wallace 2 Bruzón, Maria Santos 2 Cao, Kai 2 Ceretani, Andrea N. 2 Cesana, Pierluigi 2 Chaolu, Temuer 2 Christou, Marios Andreas 2 Coleman, Bernard David 2 Edwards, Maureen P. 2 El-Hachem, Maud 2 Folino, Raffaele 2 Fukumoto, Yasuhide 2 Gordoa, Pilar Ruiz 2 Hill, James Murray 2 Huang, Dingjiang 2 Hurst, Charles Angas 2 Hutchinson, Ashleigh Jane 2 Ibragimov, Nail Hairullovich 2 Ismailov, Mansur I. 2 Joseph, Kayyunnapara Thomas 2 Kang, Jing 2 Kim, Junseok 2 Kolesnik, Alexander D. 2 Kovalenko, Sergii 2 Lavrent’ev, Mikhail Mikhaĭlovich jun. 2 Levi, Decio 2 Liu, Fengnan 2 Mansfield, Elizabeth Louise 2 Marin, Marin I. 2 Nanayakkara, Ravindi 2 Niu, Xiaohua 2 Paliathanasis, Andronikos 2 Pan, Zuliang 2 Pap, Endre 2 Pliukhin, Oleksii 2 Priestley, Thomas J. 2 Rajeev 2 Ramos, Juan I. 2 Read, Wayne W. 2 Sahoo, Sueet Millon 2 Salva, Natalia Nieves 2 Sekhar, G. P. Raja 2 Shi, Xiang-you 2 Tehseen, Naghmana 2 Tracinà, Rita 2 Tsai, Dong-Ho 2 Tsamparlis, Michael 2 Vaz, Jayme jun. 2 Vitanov, Nikolay K. 2 Vivona, Doretta 2 Wang, Xiaoliu 2 Williams, Graham H. 2 Xu, Wei 2 Yang, Junxiang 2 Zedan, Hassan A. 2 Zhang, Shunli ...and 301 more Authors all top 5 Cited in 107 Serials 41 Journal of Mathematical Analysis and Applications 19 Communications in Nonlinear Science and Numerical Simulation 13 Journal of Mathematical Physics 12 Applied Mathematics and Computation 11 Mathematical and Computer Modelling 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Studies in Applied Mathematics 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Physica D 8 Applied Mathematical Modelling 8 Journal of Nonlinear Mathematical Physics 7 The ANZIAM Journal 6 Bulletin of the Australian Mathematical Society 6 Acta Applicandae Mathematicae 6 Applied Mathematics Letters 5 Journal of Computational and Applied Mathematics 4 Journal of Engineering Mathematics 4 Physics Letters. A 4 European Journal of Applied Mathematics 4 Annals of Physics 4 Symmetry 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Journal of Geometry and Physics 3 Meccanica 3 Theory of Probability and Mathematical Statistics 3 Journal of Applied Mathematics 3 Boundary Value Problems 3 International Journal of Applied and Computational Mathematics 2 Acta Mechanica 2 Computers & Mathematics with Applications 2 Indian Journal of Pure & Applied Mathematics 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 Quaestiones Mathematicae 2 Quarterly of Applied Mathematics 2 Continuum Mechanics and Thermodynamics 2 Electronic Journal of Differential Equations (EJDE) 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Nonlinear Mathematical Physics 2 Nonlinear Analysis. Real World Applications 2 Entropy 2 Analysis and Applications (Singapore) 2 Journal of Physics A: Mathematical and Theoretical 2 Advances in Mathematical Physics 2 Journal of Theoretical Biology 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computer Physics Communications 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 International Journal of Theoretical Physics 1 Journal of Fluid Mechanics 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Wave Motion 1 Calcolo 1 Illinois Journal of Mathematics 1 Journal of Differential Equations 1 Journal of Mathematical Economics 1 Revista de la Unión Matemática Argentina 1 International Journal of Approximate Reasoning 1 Journal of Scientific Computing 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Computational and Applied Mathematics 1 Advances in Differential Equations 1 Journal of Applied Analysis 1 Nonlinear Dynamics 1 Soft Computing 1 Chaos 1 Far East Journal of Applied Mathematics 1 Discrete Dynamics in Nature and Society 1 International Journal of Theoretical and Applied Finance 1 Methodology and Computing in Applied Probability 1 Annales Henri Poincaré 1 Qualitative Theory of Dynamical Systems 1 Brazilian Journal of Probability and Statistics 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Applied Mathematics and Computing 1 International Journal of Geometric Methods in Modern Physics 1 Advances in Difference Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Variables and Elliptic Equations 1 Acta Mechanica Sinica 1 Mathematical Modelling of Natural Phenomena 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 International Journal of Biomathematics 1 Advances in Differential Equations and Control Processes 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 Discontinuity, Nonlinearity, and Complexity ...and 7 more Serials all top 5 Cited in 38 Fields 252 Partial differential equations (35-XX) 43 Global analysis, analysis on manifolds (58-XX) 43 Fluid mechanics (76-XX) 30 Biology and other natural sciences (92-XX) 29 Dynamical systems and ergodic theory (37-XX) 29 Numerical analysis (65-XX) 29 Classical thermodynamics, heat transfer (80-XX) 16 Probability theory and stochastic processes (60-XX) 14 Mechanics of deformable solids (74-XX) 13 Quantum theory (81-XX) 12 Ordinary differential equations (34-XX) 7 Differential geometry (53-XX) 7 Mechanics of particles and systems (70-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Integral equations (45-XX) 6 Statistics (62-XX) 5 Special functions (33-XX) 5 Relativity and gravitational theory (83-XX) 4 Nonassociative rings and algebras (17-XX) 4 Functional analysis (46-XX) 4 Geophysics (86-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year