P. Broadbridge

发表

Huxley and Fisher equations for gene propagation: An exact solution

B. Bradshaw, P. Broadbridge, G. Fulford, 2002, The ANZIAM Journal.

A robust cubic reaction-diffusion system for gene propagation

B. H. Bradshaw-Hajek, P. Broadbridge, B. Bradshaw-Hajek, 2004 .

When central finite differencing gives complex values for a real solution!

P. Broadbridge, J. Goard, 2012 .

P. Broadbridge, M. Ward, G. Bluman, 2010 .

Burgers' equation and layered media: Exact solutions and applications to soil-water flow

P. Broadbridge, R. Srivastava, T. Yeh, 1992 .

Random Spherical Hyperbolic Diffusion

P. Broadbridge, N. Leonenko, A. Olenko, 2019, Journal of Statistical Physics.

Analytic solutions for calcium ion fertilisation waves on the surface of eggs.

B. H. Bradshaw-Hajek, P. Broadbridge, 2019, Mathematical medicine and biology : a journal of the IMA.

Lie Symmetries and Exact Solutions of the Generalized Thin Film Equation

Roman Cherniha, P. Broadbridge, R. Cherniha, 2010, 1003.2532.

Nonclassical Solutions Are Non-existent for the Heat Equation and Rare for Nonlinear Diffusion

Philip Broadbridge, Daniel J. Arrigo, Joanna M Goard, 1996 .

On approximation for fractional stochastic partial differential equations on the sphere

Yu Guang Wang, P. Broadbridge, V. Anh, 2017, Stochastic Environmental Research and Risk Assessment.

Temperature-dependent surface diffusion near a grain boundary

P. Broadbridge, J. Goard, 2010 .

Exact nonlinear solution for constant-rate expression from material of finite thickness

P. Broadbridge, P. J. Banksa, 1992, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

Non-integrability of non-linear diffusion-convection equations in two-spatial dimensions

P. Broadbridge, 1986 .

Series-parallel structure-oriented electrical conductivity model of saturated clays

Md. Farhad Hasan, P. Broadbridge, H. Abuel-Naga, 2018, Applied Clay Science.

Algebraic quantisation with indefinite metric

P. Broadbridge, 1983 .

Constant Rate Rainfall Infiltration in a Bounded Profile: Solutions of a Nonlinear Model

C. Rogers, P. Broadbridge, J. Knight, 1988 .

Steady saturated-unsaturated flow in irregular porous domains

P. Broadbridge, J. Knight, W. Read, 2001 .

Steady Infiltration in Sloping Porous Domains: the Onset of Saturation

P. Broadbridge, J. M. Stewart, P. Tritscher, 1998 .

An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces

P. Broadbridge, P. Tritscher, 1994 .

A parsimonious diffusion equation for electricity demand

P. Broadbridge, E. Tonkes, 2014 .

Non-particulate Klein-Gordon modes formed by inflation

P. Broadbridge, K. Deutscher, 2019, 1908.03743.

Exact non-classical symmetry solutions of Arrhenius reaction–diffusion

B. H. Bradshaw-Hajek, P. Broadbridge, D. Triadis, 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Degenerate Nonlinear Diffusion with an Initially Sharp Front

P. Broadbridge, J. Goard, M. Lavrentiev, Jr., 1997 .

Solution of a nonlinear absorption model of mixed saturated‐unsaturated flow

P. Broadbridge, 1990 .

Integrable Discrete Model for One‐Dimensional Soil Water Infiltration

P. Broadbridge, K. Kajiwara, K. Maruno, 2017, 1705.03129.

Symmetry Analysis and Numerical Modelling of Invasion by Malignant Tumour Tissue

P. Broadbridge, J. Goard, J. M. Stewart, 2002 .

Exact solutions for logistic reaction–diffusion equations in biology

B. H. Bradshaw-Hajek, P. Broadbridge, B. Bradshaw-Hajek, 2016, Zeitschrift für angewandte Mathematik und Physik.

Exact solutions for logistic reaction–diffusion equations in biology

B. H. Bradshaw-Hajek, P. Broadbridge, B. Bradshaw-Hajek, 2016, 1602.07370.

Exact nonclassical symmetry solutions of Lotka–Volterra-type population systems

P. Broadbridge, R. Cherniha, J. Goard, 2022, European Journal of Applied Mathematics.

On transport through heterogeneous media: application of conjugated reciprocal transformations

C. Rogers, P. Broadbridge, 2020, Zeitschrift für angewandte Mathematik und Physik.

Potential transients for an electrochemical corrosion reaction under constant current conditions

P. Broadbridge, G. Walter, A. A. El-Feki, 1999 .

Exact Integration of Reduced Fisher's Equation, Reduced Blasius Equation, and the Lorenz Model

Philip Broadbridge, P. Broadbridge, Lance Roman-Miller, 2000 .

Nonclassical symmetry solutions for reaction–diffusion equations with explicit spatial dependence

Philip Broadbridge, B. H. Bradshaw-Hajek, Maureen P. Edwards, 2007 .

Existence theorems for Segal quantization via spectral theory in Krein space

P. Broadbridge, 1983, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

The depth of a steep evaporating grain boundary groove: Application of comparison theorems

P. Broadbridge, D. Arrigo, P. Tritscher, 1997 .

Grain boundary grooving by surface diffusion: an analytic nonlinear model for a symmetric groove

Philip Broadbridge, P. Broadbridge, P. Tritscher, 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

Solution for 4th-order nonlinear axisymmetric surface diffusion by inverse method

P. Broadbridge, D. Triadis, Pierluigi Cesana, 2020 .

Evolving gene frequencies in a population with three possible alleles at a locus

Philip Broadbridge, B. H. Bradshaw-Hajek, Bronwyn H. Bradshaw-Hajek, 2008, Math. Comput. Model..

The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity

Philip Broadbridge, Brandon Pincombe, P. Broadbridge, 1996 .

Nonclassical symmetry solutions and the methods of Bluman–Cole and Clarkson–Kruskal

Philip Broadbridge, Daniel J. Arrigo, James M. Hill, 1993 .

Tractable forms of the bond pricing equation

Philip Broadbridge, Gaurav Raina, Joanna Goard, 2004, Math. Comput. Model..

Analytical model of infiltration under constant‐concentration boundary conditions

P. Broadbridge, D. Triadis, 2010 .

Integrable flow equations that incorporate spatial heterogeneity

P. Broadbridge, 1987 .

Infiltration Theory for Hydrologic Applications

D. A. Woolhiser, Philip Broadbridge, Keith Smettem, 2002 .

Constant rate rainfall infiltration: A versatile nonlinear model, I. Analytic solution

Philip Broadbridge, I. White, P. Broadbridge, 1988 .

Constant rate rainfall infiltration: A versatile nonlinear model, II. Applications of solutions

Philip Broadbridge, I. White, P. Broadbridge, 1988 .

Time to ponding: Comparison of analytic, quasi‐analytic, and approximate predictions

Philip Broadbridge, I. White, P. Broadbridge, 1987 .

Philip Broadbridge, P. Broadbridge, P. Tritscher, 1994 .

Solution of Non-Autonomous Schrödinger Equation for Quantized de Sitter Klein-Gordon Oscillator Modes Undergoing Attraction-Repulsion Transition

Philip Broadbridge, Kathryn Deutscher, P. Broadbridge, 2020, Symmetry.

Classical and Quantum Burgers Fluids: A Challenge for Group Analysis

Philip Broadbridge, P. Broadbridge, 2015, Symmetry.

Applications of Integrable Nonlinear Diffusion Equations in Industrial Modelling

P. Broadbridge, 2014 .

The Role of Symmetry and Separation in Surface Evolution and Curve Shortening

P. Broadbridge, P. Vassiliou, 2011, 1106.0092.

The integrable nonlinear degenerate diffusion equationut=[f(u)ux−1x and its relatives

P. Broadbridge, J. Goard, D. Arrigo, 1996 .

Closed-form solutions for unsaturated flow under variable flux boundary conditions

P. Broadbridge, M. Edwards, J. E. Kearton, 1996 .

Solutions to Nonlinear Partial Differential Equations from Symmetry-Enhancing and Symmetry-Preserving Constraints☆

P. Broadbridge, J. Goard, 1999 .

Integrable heterogeneous nonlinear Schrödinger equations with dielectric loss: Lie–Bäcklund symmetries

S. E. Godfrey, P. Broadbridge, 1991 .

Selection of Solvable Nonlinear Evolution Equations by Systematic Searches for Lie Bäcklund Symmetries

P. Broadbridge, 1990 .

Exceptional symmetry reductions of Burgers' equation in two and three spatial dimensions

P. Broadbridge, M. Edwards, 1995 .

A note on separation of variables solutions of generalized nonlinear diffusion equations

Philip Broadbridge, Joanna M Goard, P. Broadbridge, 2019, Appl. Math. Lett..

Approximations for diffusion from a disc source

A. Warrick, P. Broadbridge, D. Lomen, 1992 .

On transport through heterogeneous media: application of conjugated reciprocal transformations

C. Rogers, P. Broadbridge, 2020 .

Sedimentation in a bounded column

C. Rogers, P. Broadbridge, 1992 .

Exact solutions for vertical drainage and redistribution in soils

C. Rogers, P. Broadbridge, 1990 .

On a nonlinear moving boundary problem with heterogeneity: application of a reciprocal transformation

C. Rogers, P. Broadbridge, 1988 .

Nonclassical Symmetry Solutions for Fourth-Order Phase Field Reaction-Diffusion

Philip Broadbridge, Pierluigi Cesana, Dimetre Triadis, 2018, Symmetry.

Systematic construction of hidden nonlocal symmetries for the inhomogeneous nonlinear diffusion equation

R. J. Moitsheki, P. Broadbridge, M. Edwards, 2004 .

Fermi-Dirac quantization of linear systems

P. Broadbridge, C. A. Hurst, 1981 .

Canonical forms for quadratic Hamiltonians

P. Broadbridge, C. A. Hurst, 1981 .

Nonlinear Superposition Principles Obtained by Lie Symmetry Methods

P. Broadbridge, J. Goard, 1997 .

Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions

P. Broadbridge, M. Edwards, 1994 .

The forced Burgers equation, plant roots and Schrödinger's eigenfunctions

P. Broadbridge, 1999 .

Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions

P. Broadbridge, J. Goard, 1996 .

Integrable forms of the one-dimensional flow equation for unsaturated heterogeneous porous media

P. Broadbridge, 1988 .

Conditionally Integrable Nonlinear Diffusion with Diffusivity 1/u

Philip Broadbridge, Joanna M. Goard, P. Broadbridge, 2019, Symmetry.

Nonlinear Heat Conduction through an Externally Heated Radiant Plasma: Background Analysis for a Numerical Study

Graham H. Williams, P. Broadbridge, M. Lavrentiev, 1999 .

On a nonlinear reaction-diffusion boundary-value problem: application of a Lie-Bäcklund symmetry

C. Rogers, P. Broadbridge, 1993, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables

W. Miller, P. Broadbridge, C. Chanu, 2012, 1209.2019.

All Solutions of Standard Symmetric Linear Partial Differential Equations Have Classical Lie Symmetry

P. Broadbridge, D. Arrigo, 1999 .

Symmetry Solutions for Transient Solute Transport in Unsaturated Soils with Realistic Water Profile

Philip Broadbridge, Raseelo J. Moitsheki, Maureen P. Edwards, 2005 .

Solutions and reductions for radiative energy transport in laser-heated plasma

P. Broadbridge, N. M. Ivanova, 2014, 1401.0325.

Evaporation from Porous Media

Thomas P. Witelski, T. Witelski, P. Broadbridge, 2020 .

Symmetry Reductions of Equations for Solute Transport in Soil

P. Broadbridge, J. Goard, J. M. Hill, 2000 .

Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source

Philip Broadbridge, Daniel J. Arrigo, James M. Hill, 1994 .

Correction to Constant rate rainfall infiltration: A versatile nonlinear model, 1 and 2 by I. Whit

P. Broadbridge, I. White, 1988 .

Exact Solutions of the Richards Equation With Nonlinear Plant‐Root Extraction

P. Broadbridge, E. Daly, J. Goard, 2017 .

Fourth Order Diffusion Equations with Increasing Entropy

Naghmana Tehseen, Philip Broadbridge, P. Broadbridge, 2012, Entropy.

Dark energy states from quantization of boson fields in a universe with unstable modes.

Patrick R. Zulkowski, P. Broadbridge, 2006 .

Exact solutions of potentiostatic current transients for a corrosion reaction under mixed charge transfer and diffusion control

P. Broadbridge, G. Walter, A. A. El-Feki, 1999 .

Calculation of humidity during evaporation from soil

P. Broadbridge, J. M. Stewart, 1999 .

Stratified mobility fishery models with harvesting outside of no-take areas

P. Broadbridge, B. Mann, A. Hutchinson, 2021, Applied Mathematical Modelling.

Applications + Practical Conceptualization + Mathematics = fruitful Innovation

Robert S. Anderssen, Philip Broadbridge, Tsuyoshi Takagi, 2016 .

Engineering Mathematics Education in Australia

P. Broadbridge, S. Henderson, A. Mathematical, 2009 .

Quantization of gyroscopically stable systems with indefinite Hamiltonian

P. Broadbridge, 1986 .

Existence of a complex structure for quadratic Hamiltonians

P. Broadbridge, C. A. Hurst, 1981 .

Photons as para-fermion composites-limitations

P. Broadbridge, 1978 .

Systematic review of virtual speech therapists for speech disorders

Guang Deng, Terry Caelli, Yi-Ping Phoebe Chen, 2016, Comput. Speech Lang..

Industrial Mathematics: Case Studies in the Diffusion of Heat and Matter

Philip Broadbridge, Glenn R. Fulford, P. Broadbridge, 2002 .

SORPTIVITY AND MACROSCOPIC CAPILLARY LENGTH RELATIONSHIPS

A. Warrick, P. Broadbridge, 1992 .

The Green–Ampt limit with reference to infiltration coefficients

P. Broadbridge, D. Triadis, 2012 .

Exact solvability of the Mullins nonlinear diffusion model of groove development

Philip Broadbridge, P. Broadbridge, 1989 .

Analytical model of infiltration under constant surface ponding

P. Broadbridge, D. Triadis, 2021, 2104.15009.

ON MULTIFRACTIONALITY OF SPHERICAL RANDOM FIELDS WITH COSMOLOGICAL APPLICATIONS

P. Broadbridge, A. Olenko, R. Nanayakkara, 2021, The ANZIAM Journal.

Integrable Nonlinear Reaction-Diffusion Population Models for Fisheries

P. Broadbridge, A. Hutchinson, 2021, Applied Mathematical Modelling.

Mathematics for 21st Century Engineering Students.

Philip Broadbridge, Simi. Henderson, P. Broadbridge, 2007 .

Fast Tensor Needlet Transforms for Tangent Vector Fields on the Sphere pdf

Yu Guang Wang, Ming Li, Philip Broadbridge, 2019, ArXiv.

Multi-Phase Flow in a Thin Porous Material

D. A. Edwards, Richard O. Moore, J. Graham-Eagle, 2004 .

Spherically Restricted Random Hyperbolic Diffusion

P. Broadbridge, N. Leonenko, A. Olenko, 2019, Entropy.

Entropy Diagnostics for Fourth Order Partial Differential Equations in Conservation Form

Philip Broadbridge, P. Broadbridge, 2008, Entropy.

Series solutions for steady unsaturated flow in irregular porous domains

P. Broadbridge, W. Read, 1996 .

Conditionally integrable PDEs, non-classical symmetries and applications

P. Broadbridge, A. Hutchinson, B. Bradshaw-Hajek, 2023, Proceedings of the Royal Society A.

Well‐posed dual‐phase‐lag model of a thermoelastic dipolar body

P. Broadbridge, M. Marin, A. Öchsner, 2017 .

Group invariant solutions for two dimensional solute transport under realistic water flows

Philip Broadbridge, Raseelo J. Moitsheki, Maureen P. Edwards, 2006 .

Boundary value problems for strongly degenerate parabolic equations

P. Broadbridge, M. Lavrentiev, V. Belov, 1997 .

Infiltration from supply at constant water content: an integrable model

P. Broadbridge, D. Triadis, J. M. Hill, 2009 .

Bubbles in Wet, Gummed Wine Labels

Philip Broadbridge, Glenn R. Fulford, Derek Y. C. Chan, 1999, SIAM Rev..

Wet gum labelling of wine bottles

N. Fowkes, P. Broadbridge, G. Fulford, 1996 .

Reply [to “Comment on ‘Constant rate rainfall infiltration: A versatile nonlinear model: 2. Applications of solutions’ by I. White and P. Broadbridge”]

Philip Broadbridge, I. White, P. Broadbridge, 1989 .