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Browsing publications by Dr Allen Parker.

Newcastle AuthorsTitleYearFull text
Dr Allen Parker
Cusped solitons of the Camassa-Holm equation. II. Binary cuspon-soliton interactions2009
Dr Allen Parker
Wave dynamics for peaked solitons of the Camassa-Holm equation2008
Dr Allen Parker
Cusped solitons of the Camassa-Holm equation. I. Cuspon solitary wave and antipeakon limit2007
Dr Allen Parker
A factorization procedure for solving the Camassa-Holm equation2006
Dr Allen Parker
The peakon limits of soliton solutions of the Camassa-Holm equation2006
Dr Allen Parker
On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions2005
Dr Allen Parker
On the Camassa–Holm equation and a direct method of solution. III. N-soliton solutions2005
Dr Allen Parker
Solving the Camassa-Holm equation2005
Dr Allen Parker
On the Camassa–Holm equation and a direct method of solution : I. Bilinear form and solitary waves2004
John Dye
Dr Allen Parker
A bidirectional Kaup-Kupershmidt equation and directionally dependent solitons2002
Dr Allen Parker
John Dye
Boussinesq-type equations and 'switching' solitons2002
Dr Allen Parker
A reformulation of the 'dressing method' for the Sawada-Kotera equation2001
John Dye
Dr Allen Parker
On bidirectional fifth-order nonlinear evolution equations, Lax pairs, and directionally dependent solitary waves2001
John Dye
Dr Allen Parker
An inverse scattering scheme for the regularized long-wave equation2000
Dr Allen Parker
Bilinearising nonlinear wave equations: an algebraic perspective2000
Dr Allen Parker
On 'regular' and 'anomalous' solitons of fifth-order equations and an iteration method2000
Dr Allen Parker
On soliton solutions of the Kaup-Kupershmidt equation. I. Direct bilinearisation and solitary wave2000
Dr Allen Parker
On soliton solutions of the Kaup-Kupershmidt equation. II. 'Anomalous' N-soliton solutions2000
Dr David Swailes
Professor Yuri Sergeev
Dr Allen Parker
Chapman-Enskog closure approximation in the kinetic theory of dilute turbulent gas-particulate suspensions1998
Dr Allen Parker
From solitary waves to periodic waves via nonlinear superposition: a bilinear approach1996
Dr Allen Parker
On exact solutions of the regularised long-wave equation: A direct approach to partially integrable equations. I Solitary wave and solitons1995
Dr Allen Parker
On exact solutions of the regularised long-wave equation: A direct approach to partially integrable equations. II Periodic solutions1995
Dr Allen Parker
Professor Robin Johnson
A superposition principle for periodic solutions of nonlinear evolution equations1993
Dr Allen Parker
On the periodic solution of the Burgers equation: a unified approach1992
Dr Allen Parker
Periodic solutions of the intermediate long-wave equation: a nonlinear superposition principle1992
Dr Allen Parker
Kepler's method for the volume of a sphere1989