Edit Profile (opens in new tab) Broadbridge, Philip Compute Distance To: Compute 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: 87 Publications since 1981, including 1 Book 5 Contributions as Editor Co-Authors: 64 Co-Authors with 76 Joint Publications 1,410 Co-Co-Authors all top 5 Co-Authors 15 single-authored 15 Goard, Joanna M. 8 Bradshaw-Hajek, Bronwyn H. 7 Arrigo, Daniel J. 5 Edwards, Maureen P. 5 Hill, James Murray 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 Moitsheki, Raseelo J. 2 Olenko, Andriy Yakovych 2 Walter, G. W. 1 Aldis, Geoffrey K. 1 Anderssen, Robert Scott 1 Avagliano, Aaron J. 1 Banks, P. J. 1 Barrett, T. M. 1 Bluman, George W. 1 Chanu, Claudia Maria 1 Fowkes, Neville Donald 1 Fukumoto, Yasuhide 1 Godfrey, S. E. 1 Guttmann, Anthony John 1 Hurst, Charles Angas 1 Hutchinson, Ashleigh Jane 1 Ivanova, Nataliya M. 1 Kajiwara, Kenji 1 Kamiyama, Naoyuki 1 Karciga, Y. 1 King, John Robert 1 Kolesnik, Alexander D. 1 Lassig, C. C. 1 Leonenko, Nikolai N. 1 Li, Xia 1 Lomen, David O. 1 Mann, B. Q. 1 Maruno, Kenichi 1 Miller, Willard jun. 1 Mizoguchi, Yoshihiro 1 Nanayakkara, Ravindi 1 Pincombe, Brandon Malcolm 1 Polthier, Konrad 1 Raina, Gaurav 1 Roman-Miller, Lance 1 Sachdev, P. L. 1 Saeki, Osamu 1 Srivastava, Rajesh Kumar 1 Stewart, John M. 1 Tehseen, Naghmana 1 Tilley, Burt S. 1 Tonkes, Elliot 1 Vassiliou, Peter John 1 Wang, Justin 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 6 Journal of Mathematical Analysis and Applications 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Engineering Mathematics 5 Journal of Mathematical Physics 4 Journal of Physics A: Mathematical and General 4 The ANZIAM Journal 3 Journal of the Australian Mathematical Society, Series B 3 Applied Mathematical Modelling 3 Entropy 3 Mathematical Medicine and Biology 2 IMA Journal of Applied Mathematics 2 Hadronic Journal 2 Studies in 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 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 60 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 17 Global analysis, analysis on manifolds (58-XX) 10 Biology and other natural sciences (92-XX) 7 Quantum theory (81-XX) 6 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Probability theory and stochastic processes (60-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 386 times in 257 Documents Cited by ▼ Year ▼ Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060Arrigo, D. J.; Hill, J. M.; Broadbridge, P. 42 1994 Nonclassical symmetry solutions and the methods of Bluman-Cole and Clarkson-Kruskal. Zbl 0784.35097Arrigo, D. J.; Broadbridge, P.; Hill, J. M. 28 1993 On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation. Zbl 0661.35087Rogers, C.; Broadbridge, P. 15 1988 A robust cubic reaction-diffusion system for gene propagation. Zbl 1065.92030Bradshaw-Hajek, B. H.; Broadbridge, P. 14 2004 Integrable forms of the one-dimensional flow equation for unsaturated heterogeneous porous media. Zbl 0651.76041Broadbridge, P. 13 1988 Exceptional symmetry reductions of Burgers’ equation in two and three spatial dimensions. Zbl 0843.35099Edwards, M. P.; Broadbridge, P. 12 1995 Grain boundary grooving by surface diffusion: An analytic nonlinear model for a symmetric groove. Zbl 0841.35054Tritscher, P.; Broadbridge, P. 12 1995 Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions. Zbl 0878.35058Goard, Joanna; Broadbridge, Philip 12 1996 Huxley and Fisher equations for gene propagation: an exact solution. Zbl 1043.35041Broadbridge, P.; Bradshaw, B. H.; Fulford, G. R.; Aldis, G. K. 12 2002 Systematic construction of hidden nonlocal symmetries for the inhomogeneous nonlinear diffusion equation. Zbl 1064.35009Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. 12 2004 Exact solvability of the Mullins nonlinear diffusion model of groove development. Zbl 0693.35091Broadbridge, P. 11 1989 An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces. Zbl 0818.35130Broadbridge, P.; Tritscher, P. 11 1994 Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence. Zbl 1119.35025Bradshaw-Hajek, B. H.; Edwards, M. P.; Broadbridge, P.; Williams, G. H. 10 2007 Nonlinear superposition principles obtained by Lie symmetry methods. Zbl 0893.35020Goard, Joanna M.; Broadbridge, Philip 10 1997 A similarity solution of a multiphase Stefan problem incorporating general nonlinear heat conduction. Zbl 0926.76119Tritscher, P.; Broadbridge, P. 10 1994 Exact solutions for vertical drainage and redistribution in soils. Zbl 0707.73059Broadbridge, P.; Rogers, C. 9 1990 Nonclassical solutions are non-existent for the heat equation and rare for nonlinear diffusion. Zbl 0864.35019Arrigo, D. J.; Goard, J. M.; Broadbridge, P. 8 1996 All solutions of standard symmetric linear partial differential equations have classical Lie symmetry. Zbl 0932.35007Broadbridge, Philip; Arrigo, Daniel J. 8 1999 Exact solutions for logistic reaction-diffusion equations in biology. Zbl 1365.35067Broadbridge, P.; Bradshaw-Hajek, B. H. 8 2016 Random spherical hyperbolic diffusion. Zbl 1427.35377Broadbridge, Phil; Kolesnik, Alexander D.; Leonenko, Nikolai; Olenko, Andriy 7 2019 The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity. Zbl 0857.35140Broadbridge, P.; Pincombe, B. M. 7 1996 On a nonlinear reaction-diffusion boundary-value problem: Application of a Lie–Bäcklund symmetry. Zbl 0790.35103Broadbridge, Philip; Rogers, Colin 7 1993 Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions. Zbl 0838.35100Edwards, M. P.; Broadbridge, P. 6 1994 Entropy diagnostics for fourth order partial differential equations in conservation form. Zbl 1179.35164Broadbridge, Phil 6 2008 Non-integrability of nonlinear diffusion-convection equations in two spatial dimensions. Zbl 0617.35122Broadbridge, P. 6 1986 Similarity: Generalizations, applications and open problems. Zbl 1188.00015Bluman, G.; Broadbridge, P.; King, J. R.; Ward, M. J. 5 2010 Exact integration of reduced Fisher’s equation, reduced Blasius equation, and the Lorenz model. Zbl 0968.34002Roman-Miller, Lance; Broadbridge, Philip 5 2000 Exact non-classical symmetry solutions of Arrhenius reaction-diffusion. Zbl 1371.35159Broadbridge, P.; Bradshaw-Hajek, B. H.; Triadis, D. 5 2015 Industrial mathematics. Case studies in diffusion of heat and matter. Zbl 0982.00007Fulford, Glenn R.; Broadbridge, Philip 5 2002 Symmetry analysis and numerical modelling of invasion by malignant tumour tissue. Zbl 1005.92017Stewart, J. M.; Broadbridge, P.; Goard, J. M. 5 2002 Temperature-dependent surface diffusion near a grain boundary. Zbl 1188.74004Broadbridge, P.; Goard, J. M. 4 2010 Fourth order diffusion equations with increasing entropy. Zbl 1302.35200Tehseen, Naghmana; Broadbridge, Philip 4 2012 Burgers’ equation and layered media: Exact solutions and applications to soil-water flow. Zbl 0762.35100Broadbridge, Philip; Srivastava, Rajesh; Yeh, T.-C. Jim 4 1992 Nonclassical symmetry solutions for fourth-order phase field reaction-diffusion. Zbl 1392.35180Broadbridge, Philip; Triadis, Dimetre; Gallage, Dilruk; Cesana, Pierluigi 4 2018 The integrable nonlinear degenerate diffusion equation \(u_ t=[f(u)u_ x^{-1}]_ x\) and its relatives. Zbl 0880.35095Goard, Joanna M.; Broadbridge, Philip; Arrigo, Daniel J. 4 1996 Free boundary problems with nonlinear diffusion. Zbl 0805.35162Broadbridge, P.; Tritscher, P.; Avagliano, A. 4 1993 Symmetry reductions of equations for solute transport in soil. Zbl 0953.35008Broadbridge, P.; Hill, J. M.; Goard, J. M. 3 2000 The role of symmetry and separation in surface evolution and curve shortening. Zbl 1219.35014Broadbridge, Philip; Vassiliou, Peter 3 2011 Infiltration from supply at constant water content: An integrable model. Zbl 1168.76367Broadbridge, P.; Triadis, D.; Hill, J. M. 3 2009 Integrable heterogeneous nonlinear Schrödinger equations with dielectric loss: Lie-Bäcklund symmetries. Zbl 0734.35132Broadbridge, P.; Godfrey, S. E. 3 1991 Existence of a complex structure for quadratic Hamiltonians? Zbl 0506.70018Broadbridge, P.; Hurst, C. A. 3 1981 Group invariant solutions for two-dimensional solute transport under realistic water flows. Zbl 1101.35064Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. 2 2006 Evolving gene frequencies in a population with three possible alleles at a locus. Zbl 1134.92027Bradshaw-Hajek, B. H.; Broadbridge, P.; Williams, G. H. 2 2008 Approximations for diffusion from a disc source. Zbl 0766.76089Warrick, A. W.; Broadbridge, P.; Lomen, D. O. 2 1992 Editorial: Concepts of entropy and their applications. Zbl 1179.82005 2 2009 Boundary value problems for strongly degenerate parabolic equations. Zbl 0907.35069Lavrentiev, M. jun.; Broadbridge, P.; Belov, V. 2 1997 Existence theorems for Segal quantization via spectral theory in Krein space. Zbl 0512.47031Broadbridge, P. 2 1983 Tractable forms of the bond pricing equation. Zbl 1112.91035Goard, J.; Broadbridge, P.; Raina, G. 2 2004 Expansion of high pressure gas into air - A more realistic blast wave model. Zbl 1185.76800Haque, Ejanul; Broadbridge, Philip; Sachdev, P. L. 1 2009 Dark energy states from quantization of boson fields in a universe with unstable modes. Zbl 1206.83157Broadbridge, P.; Zulkowski, P. 1 2006 Exact solution of a boundary value problem describing the uniform cylindrical or spherical piston motion. Zbl 1221.76176Haque, Ejanul; Broadbridge, Philip 1 2011 Classical and quantum Burgers fluids: a challenge for group analysis. Zbl 1375.35016Broadbridge, Philip 1 2015 An analytic solution for a Gompertz-like reaction-diffusion model for tumour growth. Zbl 1469.35011Bradshaw-Hajek, Bronwyn H.; Broadbridge, Philip 1 2021 Solutions of Helmholtz and Schrödinger equations with side condition and nonregular separation of variables. Zbl 1291.35244Broadbridge, Philip; Chanu, Claudia M.; Miller, Willard jun. 1 2012 The forced Burgers equation, plant roots and Schrödinger’s eigenfunctions. Zbl 0932.35179Broadbridge, P. 1 1999 Nonlinear heat conduction through an externally heated radiant plasma: Background analysis for a numerical study. Zbl 0940.35108Broadbridge, Phil; Lavrentiev, Mikhail M. jun.; Williams, Graham H. 1 1999 Degenerate nonlinear diffusion with an initially sharp front. Zbl 0893.76086Broadbridge, P.; Goard, J. M.; Lavrentiev, M. jun. 1 1997 Exact solution of a degenerate fully nonlinear diffusion equation. Zbl 1058.35122Broadbridge, Philip; Goard, Joanna M. 1 2004 Problems in the quantization of quadratic Hamiltonians. Zbl 0455.58015Broadbridge, P. 1 1981 Applications of integrable nonlinear diffusion equations in industrial modelling. Zbl 1330.35447Broadbridge, P. 1 2014 An analytic solution for a Gompertz-like reaction-diffusion model for tumour growth. Zbl 1469.35011Bradshaw-Hajek, Bronwyn H.; Broadbridge, Philip 1 2021 Random spherical hyperbolic diffusion. Zbl 1427.35377Broadbridge, Phil; Kolesnik, Alexander D.; Leonenko, Nikolai; Olenko, Andriy 7 2019 Nonclassical symmetry solutions for fourth-order phase field reaction-diffusion. Zbl 1392.35180Broadbridge, Philip; Triadis, Dimetre; Gallage, Dilruk; Cesana, Pierluigi 4 2018 Exact solutions for logistic reaction-diffusion equations in biology. Zbl 1365.35067Broadbridge, P.; Bradshaw-Hajek, B. H. 8 2016 Exact non-classical symmetry solutions of Arrhenius reaction-diffusion. Zbl 1371.35159Broadbridge, P.; Bradshaw-Hajek, B. H.; Triadis, D. 5 2015 Classical and quantum Burgers fluids: a challenge for group analysis. Zbl 1375.35016Broadbridge, Philip 1 2015 Applications of integrable nonlinear diffusion equations in industrial modelling. Zbl 1330.35447Broadbridge, P. 1 2014 Fourth order diffusion equations with increasing entropy. Zbl 1302.35200Tehseen, Naghmana; Broadbridge, Philip 4 2012 Solutions of Helmholtz and Schrödinger equations with side condition and nonregular separation of variables. Zbl 1291.35244Broadbridge, Philip; Chanu, Claudia M.; Miller, Willard jun. 1 2012 The role of symmetry and separation in surface evolution and curve shortening. Zbl 1219.35014Broadbridge, Philip; Vassiliou, Peter 3 2011 Exact solution of a boundary value problem describing the uniform cylindrical or spherical piston motion. Zbl 1221.76176Haque, Ejanul; Broadbridge, Philip 1 2011 Similarity: Generalizations, applications and open problems. Zbl 1188.00015Bluman, G.; Broadbridge, P.; King, J. R.; Ward, M. J. 5 2010 Temperature-dependent surface diffusion near a grain boundary. Zbl 1188.74004Broadbridge, P.; Goard, J. M. 4 2010 Infiltration from supply at constant water content: An integrable model. Zbl 1168.76367Broadbridge, P.; Triadis, D.; Hill, J. M. 3 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 1185.76800Haque, Ejanul; Broadbridge, Philip; Sachdev, P. L. 1 2009 Entropy diagnostics for fourth order partial differential equations in conservation form. Zbl 1179.35164Broadbridge, Phil 6 2008 Evolving gene frequencies in a population with three possible alleles at a locus. Zbl 1134.92027Bradshaw-Hajek, B. H.; Broadbridge, P.; Williams, G. H. 2 2008 Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence. Zbl 1119.35025Bradshaw-Hajek, B. H.; Edwards, M. P.; Broadbridge, P.; Williams, G. H. 10 2007 Group invariant solutions for two-dimensional solute transport under realistic water flows. Zbl 1101.35064Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. 2 2006 Dark energy states from quantization of boson fields in a universe with unstable modes. Zbl 1206.83157Broadbridge, P.; Zulkowski, P. 1 2006 A robust cubic reaction-diffusion system for gene propagation. Zbl 1065.92030Bradshaw-Hajek, B. H.; Broadbridge, P. 14 2004 Systematic construction of hidden nonlocal symmetries for the inhomogeneous nonlinear diffusion equation. Zbl 1064.35009Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. 12 2004 Tractable forms of the bond pricing equation. Zbl 1112.91035Goard, J.; Broadbridge, P.; Raina, G. 2 2004 Exact solution of a degenerate fully nonlinear diffusion equation. Zbl 1058.35122Broadbridge, Philip; Goard, Joanna M. 1 2004 Huxley and Fisher equations for gene propagation: an exact solution. Zbl 1043.35041Broadbridge, P.; Bradshaw, B. H.; Fulford, G. R.; Aldis, G. K. 12 2002 Industrial mathematics. Case studies in diffusion of heat and matter. Zbl 0982.00007Fulford, Glenn R.; Broadbridge, Philip 5 2002 Symmetry analysis and numerical modelling of invasion by malignant tumour tissue. Zbl 1005.92017Stewart, J. M.; Broadbridge, P.; Goard, J. M. 5 2002 Exact integration of reduced Fisher’s equation, reduced Blasius equation, and the Lorenz model. Zbl 0968.34002Roman-Miller, Lance; Broadbridge, Philip 5 2000 Symmetry reductions of equations for solute transport in soil. Zbl 0953.35008Broadbridge, P.; Hill, J. M.; Goard, J. M. 3 2000 All solutions of standard symmetric linear partial differential equations have classical Lie symmetry. Zbl 0932.35007Broadbridge, Philip; Arrigo, Daniel J. 8 1999 The forced Burgers equation, plant roots and Schrödinger’s eigenfunctions. Zbl 0932.35179Broadbridge, P. 1 1999 Nonlinear heat conduction through an externally heated radiant plasma: Background analysis for a numerical study. Zbl 0940.35108Broadbridge, Phil; Lavrentiev, Mikhail M. jun.; Williams, Graham H. 1 1999 Nonlinear superposition principles obtained by Lie symmetry methods. Zbl 0893.35020Goard, Joanna M.; Broadbridge, Philip 10 1997 Boundary value problems for strongly degenerate parabolic equations. Zbl 0907.35069Lavrentiev, M. jun.; Broadbridge, P.; Belov, V. 2 1997 Degenerate nonlinear diffusion with an initially sharp front. Zbl 0893.76086Broadbridge, P.; Goard, J. M.; Lavrentiev, M. jun. 1 1997 Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions. Zbl 0878.35058Goard, Joanna; Broadbridge, Philip 12 1996 Nonclassical solutions are non-existent for the heat equation and rare for nonlinear diffusion. Zbl 0864.35019Arrigo, D. J.; Goard, J. M.; Broadbridge, P. 8 1996 The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity. Zbl 0857.35140Broadbridge, P.; Pincombe, B. M. 7 1996 The integrable nonlinear degenerate diffusion equation \(u_ t=[f(u)u_ x^{-1}]_ x\) and its relatives. Zbl 0880.35095Goard, Joanna M.; Broadbridge, Philip; Arrigo, Daniel J. 4 1996 Exceptional symmetry reductions of Burgers’ equation in two and three spatial dimensions. Zbl 0843.35099Edwards, M. P.; Broadbridge, P. 12 1995 Grain boundary grooving by surface diffusion: An analytic nonlinear model for a symmetric groove. Zbl 0841.35054Tritscher, P.; Broadbridge, P. 12 1995 Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060Arrigo, D. J.; Hill, J. M.; Broadbridge, P. 42 1994 An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces. Zbl 0818.35130Broadbridge, P.; Tritscher, P. 11 1994 A similarity solution of a multiphase Stefan problem incorporating general nonlinear heat conduction. Zbl 0926.76119Tritscher, P.; Broadbridge, P. 10 1994 Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions. Zbl 0838.35100Edwards, M. P.; Broadbridge, P. 6 1994 Nonclassical symmetry solutions and the methods of Bluman-Cole and Clarkson-Kruskal. Zbl 0784.35097Arrigo, D. J.; Broadbridge, P.; Hill, J. M. 28 1993 On a nonlinear reaction-diffusion boundary-value problem: Application of a Lie–Bäcklund symmetry. Zbl 0790.35103Broadbridge, Philip; Rogers, Colin 7 1993 Free boundary problems with nonlinear diffusion. Zbl 0805.35162Broadbridge, P.; Tritscher, P.; Avagliano, A. 4 1993 Burgers’ equation and layered media: Exact solutions and applications to soil-water flow. Zbl 0762.35100Broadbridge, Philip; Srivastava, Rajesh; Yeh, T.-C. Jim 4 1992 Approximations for diffusion from a disc source. Zbl 0766.76089Warrick, A. W.; Broadbridge, P.; Lomen, D. O. 2 1992 Integrable heterogeneous nonlinear Schrödinger equations with dielectric loss: Lie-Bäcklund symmetries. Zbl 0734.35132Broadbridge, P.; Godfrey, S. E. 3 1991 Exact solutions for vertical drainage and redistribution in soils. Zbl 0707.73059Broadbridge, P.; Rogers, C. 9 1990 Exact solvability of the Mullins nonlinear diffusion model of groove development. Zbl 0693.35091Broadbridge, P. 11 1989 On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation. Zbl 0661.35087Rogers, C.; Broadbridge, P. 15 1988 Integrable forms of the one-dimensional flow equation for unsaturated heterogeneous porous media. Zbl 0651.76041Broadbridge, P. 13 1988 Non-integrability of nonlinear diffusion-convection equations in two spatial dimensions. Zbl 0617.35122Broadbridge, P. 6 1986 Existence theorems for Segal quantization via spectral theory in Krein space. Zbl 0512.47031Broadbridge, P. 2 1983 Existence of a complex structure for quadratic Hamiltonians? Zbl 0506.70018Broadbridge, P.; Hurst, C. A. 3 1981 Problems in the quantization of quadratic Hamiltonians. Zbl 0455.58015Broadbridge, P. 1 1981 all cited Publications top 5 cited Publications all top 5 Cited by 304 Authors 33 Broadbridge, Philip 13 Cherniha, Roman M. 12 Sophocleous, Christodoulos 11 Popovych, Roman O. 9 Goard, Joanna M. 9 Qu, Changzheng 8 Bradshaw-Hajek, Bronwyn H. 8 Rogers, Colin 8 Tarzia, Domingo Alberto 6 Arrigo, Daniel J. 6 Ji, Lina 5 Davydovych, Vasyl V. 5 Ivanova, Nataliya M. 5 Moitsheki, Raseelo J. 5 Simpson, Matthew J. 4 Briozzo, Adriana C. 4 Govinder, Keshlan Sathasiva 4 Natale, María Fernanda 4 Vaneeva, Olena O. 3 Abraham-Shrauner, Barbara 3 Boukrouche, Mahdi 3 Boyko, Vyacheslav M. 3 Clarkson, Peter A. 3 Gallage, Dilruk 3 Gorgone, Matteo 3 Jia, Huabing 3 King, John Robert 3 Kunzinger, Michael 3 Olenko, Andriy Yakovych 3 Oliveri, Francesco 3 Schief, Wolfgang Karl 3 Serov, Mykola I. 3 Triadis, Dimetre 3 Zhou, Yang 2 Asvadurov, Sergey 2 Bluman, George W. 2 Ceretani, Andrea N. 2 Cesana, Pierluigi 2 Chaolu, Temuer 2 Christou, Marios Andreas 2 Coleman, Bernard David 2 Edwards, Maureen P. 2 Folino, Raffaele 2 Hill, James Murray 2 Huang, Dingjiang 2 Hurst, Charles Angas 2 Ibragimov, Nail Hairullovich 2 Ismailov, Mansur I. 2 Joseph, Kayyunnapara Thomas 2 Kang, Jing 2 Kim, Junseok 2 Kovalenko, Sergii 2 Kumar, Sachin 2 Lavrent’ev, Mikhail Mikhaĭlovich jun. 2 Leonenko, Nikolai N. 2 Lesnic, Daniel 2 Levi, Decio 2 Mansfield, Elizabeth Louise 2 McCue, Scott William 2 Niu, Xiaohua 2 Nucci, Maria Clara 2 Paliathanasis, Andronikos 2 Pan, Zuliang 2 Pap, Endre 2 Pliukhin, Oleksii 2 Pocheketa, Oleksandr A. 2 Priestley, Thomas J. 2 Ramos, Juan I. 2 Read, Wayne W. 2 Salva, Natalia Nieves 2 Tam, Alexander K. Y. 2 Tehseen, Naghmana 2 Tracinà, Rita 2 Tsamparlis, Michael 2 Vitanov, Nikolay K. 2 Vivona, Doretta 2 Williams, Graham H. 2 Xu, Wei 2 Yang, Junxiang 2 Zedan, Hassan A. 1 Abdulwahhab, Muhammad Alim 1 Abu Hamed, M. 1 Aldis, Geoffrey K. 1 Almeida, Alexandre C. L. 1 Anh, Vo V. 1 Avdonina, Elena D. 1 Bai, Tonglaga 1 Barco, M. A. 1 Barry, Steven Ian 1 Baskonus, Haci Mehmet 1 Bassom, Andrew P. 1 Bedrikovetsky, Pavel G. 1 Bel Hadj Khélifa, Wafa 1 Ben Mabrouk, Anouar 1 Bihlo, Alexander 1 Bindu, P. S. 1 Bingham, Nicholas Hugh 1 Bokhari, Ashfaque H. 1 Borazjani, S. 1 Bradshaw, B. H. ...and 204 more Authors all top 5 Cited in 90 Serials 39 Journal of Mathematical Analysis and Applications 16 Communications in Nonlinear Science and Numerical Simulation 13 Journal of Mathematical Physics 11 Applied Mathematics and Computation 11 Mathematical and Computer Modelling 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Studies in Applied Mathematics 6 Physica D 6 Applied Mathematical Modelling 6 The ANZIAM Journal 5 Bulletin of the Australian Mathematical Society 5 Acta Applicandae Mathematicae 5 Applied Mathematics Letters 5 Journal of Nonlinear Mathematical Physics 4 Journal of Engineering Mathematics 4 Symmetry 3 Journal of Geometry and Physics 3 European Journal of Applied Mathematics 3 Journal of Applied Mathematics 3 International Journal of Applied and Computational Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Statistical Physics 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 Journal of Computational and Applied Mathematics 2 Quaestiones Mathematicae 2 Quarterly of Applied Mathematics 2 Theory of Probability and Mathematical Statistics 2 Electronic Journal of Differential Equations (EJDE) 2 Nonlinear Analysis. Real World Applications 2 Entropy 2 Analysis and Applications (Singapore) 2 Boundary Value Problems 2 Advances in Mathematical Physics 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 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. A 1 Wave Motion 1 Calcolo 1 Illinois Journal of Mathematics 1 Journal of Mathematical Economics 1 Meccanica 1 Revista de la Unión Matemática Argentina 1 International Journal of Approximate Reasoning 1 Journal of Scientific Computing 1 Annals of Physics 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 Computational and Applied Mathematics 1 Advances in Differential Equations 1 Journal of Applied Analysis 1 Nonlinear Dynamics 1 Soft Computing 1 Far East Journal of Applied Mathematics 1 Discrete Dynamics in Nature and Society 1 International Journal of Theoretical and Applied Finance 1 Annales Henri Poincaré 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 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 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 Journal of Theoretical Biology 1 Discontinuity, Nonlinearity, and Complexity 1 Complex Analysis and its Synergies 1 Nonlinear Analysis. Theory, Methods & Applications 1 Modern Stochastics. Theory and Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics all top 5 Cited in 37 Fields 207 Partial differential equations (35-XX) 41 Global analysis, analysis on manifolds (58-XX) 36 Fluid mechanics (76-XX) 25 Classical thermodynamics, heat transfer (80-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Biology and other natural sciences (92-XX) 21 Numerical analysis (65-XX) 10 Ordinary differential equations (34-XX) 10 Mechanics of deformable solids (74-XX) 8 Probability theory and stochastic processes (60-XX) 6 Quantum theory (81-XX) 5 Special functions (33-XX) 5 Integral equations (45-XX) 5 Differential geometry (53-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 4 Geophysics (86-XX) 3 Topological groups, Lie groups (22-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 3 Relativity and gravitational theory (83-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Computer science (68-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 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year