Newcastle University

Memberships

Fellow of the Institute of Mathematics and its Applications (FIMA)
Chartered Mathematician (CMath)

European Mathematical Society
London Mathematical Society 

Informal Interests

Running, cycling, swimming, hill walking, music, guitar, reading, film, theatre, travel

Research Interests

Esteem Indicators

Visiting Professorship: Toyama Prefectural University, Japan (2006)
IMA Higher Education Assessment Panel: CMath accreditation

Invited talks:                                                                                                                                                2008 6th Int Conference on Dynamical Systems, Baltimore, USA                                                               2008 AIMS 7 Int Conference on Dynamical Systems Diff Equations and Applications, Texas, USA             2008 AMS National Joint Mathemtics Meetings, San Diego, USA  2007 IMACS 5 Int Conf on Nonlinear Evolution Equations and Wave Phenomena, Georgia, USA                                                                                                                                              2004 10th Int Conference on Modern Group Analysis, MOGRANX, Cyprus
2004 Inverse Problems: Modelling and Simulation, Fethiye, Turkey,
2002 Inverse Problems and Nonlinear Equations, marking 80th Anniversary of Prof. V. A. Marchenko, NAS, Kharkov, Ukraine.

Reviewer for:
Zentralblatt MATH Reviews
AMS Mathematical Reviews
Referee for:
Physics Letters A
Quarterly Journal of Mechanics and Applied Mathematics
Journal of Mathematical Physics
Letters in Mathematical Physics

Undergraduate Teaching

Stage 2

ENG2008 Analytical Methods in Marine Engineering

ENG2010 Engineering Mathematics II with Applications

ENG2011 Engineering Mathematics II

• Parker A, Derrington A, Blakemore C. The physiology of congnitive processes - Papers of a Discussion Meeting organized and edited by Andrew Parker, Andrew Derrington and Colin Blakemore - Meeting held at The Royal Society on 5 and 6 Decemember 2001 - Introduction. Philosophical Transactions of the Royal Society of London Series B-Biological Sciences 2002, 357(1424), 959-961.
• Derrington AM, Parker A, Barraclough NE, Easton A, Goodson GR, Parker KS, Tinsley CJ, Webb BS. The uses of colour vision : behavioural and physiological distinctiveness of colour stimuli. Philosophical Transactions of the Royal Society of London Series B : Biological Sciences 2002, 357(1424), 975-985.
• Parker A. Cusped solitons of the Camassa-Holm equation. II. Binary cuspon-soliton interactions. Chaos, Solitons and Fractals 2009, 41(3), 1531-1549.
• Parker A. Wave dynamics for peaked solitons of the Camassa-Holm equation. Chaos, Solitons and Fractals 2008, 35(2), 220-237.
• Parker A. Cusped solitons of the Camassa-Holm equation. I. Cuspon solitary wave and antipeakon limit. Chaos, Solitons and Fractals 2007, 34(3), 730-739.
• Parker A. A factorization procedure for solving the Camassa-Holm equation. Inverse Problems 2006, 22(2), 599-609.
• Parker A, Matsuno Y. The peakon limits of soliton solutions of the Camassa-Holm equation. Journal of the Physical Society of Japan 2006, 75(12), 124001.
• Parker A. On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2005, 461(2063), 3611-3632.
• Parker A. On the Camassa–Holm equation and a direct method of solution. III. N-soliton solutions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2005, 461(2064), 3893-3911.
• Parker A. Solving the Camassa-Holm equation. In: Proceedings of the 10th International Conference in Modern Group Analysis. 2005, Larnaca, Cyprus.
• Parker A. On the Camassa–Holm equation and a direct method of solution : I. Bilinear form and solitary waves. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2004, 460(2050), 2929-2957.
• Dye JM, Parker A. A bidirectional Kaup-Kupershmidt equation and directionally dependent solitons. Journal of Mathematical Physics 2002, 43(10), 4921-4949.
• Parker A, Dye JM. Boussinesq-type equations and 'switching' solitons. Proceedings of Institute of Mathematics of NAS of Ukraine 2002, 43, 344-351.
• Parker A. A reformulation of the 'dressing method' for the Sawada-Kotera equation. Inverse Problems 2001, 17(4), 885-895.
• Dye JM, Parker A. On bidirectional fifth-order nonlinear evolution equations, Lax pairs, and directionally dependent solitary waves. Journal of Mathematical Physics 2001, 42(6), 2567-2589.
• Dye JM, Parker A. An inverse scattering scheme for the regularized long-wave equation. Journal of Mathematical Physics 2000, 41(5), 2889-2904.
• Parker A. Bilinearising nonlinear wave equations: an algebraic perspective. In: Nonlinear Dynamics: Integrability and Chaos. 2000, New Delhi, India: Narosa Publishing.
• Parker A. On 'regular' and 'anomalous' solitons of fifth-order equations and an iteration method. Reports on Mathematical Physics 2000, 46(1-2), 217-224.
• Parker A. On soliton solutions of the Kaup-Kupershmidt equation. I. Direct bilinearisation and solitary wave. Physica D: Nonlinear Phenomena 2000, 137(1-2), 25-33.
• Parker A. On soliton solutions of the Kaup-Kupershmidt equation. II. 'Anomalous' N-soliton solutions. Physica D: Nonlinear Phenomena 2000, 137(1-2), 34-48.
• Swailes DC, Sergeev YA, Parker A. Chapman-Enskog closure approximation in the kinetic theory of dilute turbulent gas-particulate suspensions. Physica A: Statistical Mechanics and its Applications 1998, 254(3-4), 517-547.
• Parker A. From solitary waves to periodic waves via nonlinear superposition: a bilinear approach. In: Nonlinear Physics: Theory and Experiment. 1996, Gallipoli, Lecce, Italy: World Scientific.
• Parker A. On exact solutions of the regularised long-wave equation: A direct approach to partially integrable equations. I Solitary wave and solitons. Journal of Mathematical Physics 1995, 36(7), 3498-3505.
• Parker A. On exact solutions of the regularised long-wave equation: A direct approach to partially integrable equations. II Periodic solutions. Journal of Mathematical Physics 1995, 36(7), 3506-3519.
• Parker A, Johnson RS. A superposition principle for periodic solutions of nonlinear evolution equations. In: Nonlinear Dispersive Wave Systems. 1993, World Scientific.
• Parker A. On the periodic solution of the Burgers equation: a unified approach. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 1992, 438(1902), 113-132.
• Parker A. Periodic solutions of the intermediate long-wave equation: a nonlinear superposition principle. Journal of Physics A: Mathematical and General 1992, 25(7), 2005-2032.
• Parker A, Straker N. Kepler's method for the volume of a sphere. Mathematics in School 1989, 18, 38-39.