| On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves A Parker Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2004 | 89 | 2004 |
| On soliton solutions of the Kaup–Kupershmidt equation. I. Direct bilinearisation and solitary wave A Parker Physica D: Nonlinear Phenomena 137 (1-2), 25-33, 2000 | 72 | 2000 |
| On the Camassa–Holm equation and a direct method of solution. III. N-soliton solutions A Parker Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005 | 64 | 2005 |
| On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions A Parker Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005 | 63 | 2005 |
| On bidirectional fifth-order nonlinear evolution equations, Lax pairs, and directionally dependent solitary waves JM Dye, A Parker Journal of Mathematical Physics 42 (6), 2567-2589, 2001 | 60 | 2001 |
| On soliton solutions of the Kaup–Kupershmidt equation. II.‘Anomalous’ N-soliton solutions A Parker Physica D: Nonlinear Phenomena 137 (1-2), 34-48, 2000 | 58 | 2000 |
| Chapman–Enskog closure approximation in the kinetic theory of dilute turbulent gas-particulate suspensions DC Swailes, YA Sergeev, A Parker Physica A: Statistical Mechanics and its Applications 254 (3-4), 517-547, 1998 | 42 | 1998 |
| An inverse scattering scheme for the regularized long-wave equation JM Dye, A Parker Journal of Mathematical Physics 41, 2889, 2000 | 39 | 2000 |
| On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. I. Solitary wave and solitons A Parker Journal of Mathematical Physics 36 (7), 3498-3505, 1995 | 38 | 1995 |
| A bidirectional Kaup–Kupershmidt equation and directionally dependent solitons JM Dye, A Parker Journal of Mathematical Physics 43 (10), 4921-4949, 2002 | 32 | 2002 |
| Periodic solutions of the intermediate long-wave equation: a nonlinear superposition principle A Parker Journal of Physics A: Mathematical and General 25 (7), 2005, 1992 | 32 | 1992 |
| The peakon limits of soliton solutions of the Camassa–Holm equation A Parker, Y Matsuno Journal of the Physical Society of Japan 75 (12), 124001-124001, 2006 | 30 | 2006 |
| A reformulation of thedressing method'for the Sawada-Kotera equation A Parker Inverse Problems 17 (4), 885, 2001 | 29 | 2001 |
| On the periodic solution of the Burgers equation: a unified approach A Parker Proceedings of the Royal Society of London. Series A: Mathematical and …, 1992 | 29 | 1992 |
| Wave dynamics for peaked solitons of the Camassa-Holm equation A Parker Chaos, Solitons & Fractals 35 (2), 220-237, 2008 | 26 | 2008 |
| Boussinesq-type equations and switching solitons A Parker, JM Dye Proc. Inst. NAS Ukraine 43 (1), 344-351, 2002 | 21 | 2002 |
| Cusped solitons of the Camassa–Holm equation. I. Cuspon solitary wave and antipeakon limit A Parker Chaos, Solitons & Fractals 34 (3), 730-739, 2007 | 17 | 2007 |
| A factorization procedure for solving the Camassa–Holm equation A Parker Inverse problems 22 (2), 599, 2006 | 14 | 2006 |
| On exact solutions of the regularized long‐wave equation: A direct approach to partially integrable equations. II. Periodic solutions A Parker Journal of Mathematical Physics 36 (7), 3506-3519, 1995 | 12 | 1995 |
| Cusped solitons of the Camassa-Holm equation. II. Binary cuspon-soliton interactions A Parker Chaos, Solitons & Fractals 41 (3), 1531-1549, 2009 | 10 | 2009 |
Yuri A. SergeevProfessor of Engineering Mathematics, Newcastle UniversityVerified email at ncl.ac.uk
Yuri A. SergeevProfessor of Engineering Mathematics, Newcastle UniversityVerified email at ncl.ac.uk