A. Hone

most citedA New Integrable Equation with Peakon Solutions

91 citations · 95 across the 5 of their papers we have counts for

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nlin.SI2002

Tau-functions and special solutions in a coupled Painlevé system

A. N. W. Hone

For a pair of coupled Painlevé equations obtained as a similarity reduction of the Hirota-Satsuma systems we describe special parameter-families of solutions given in terms of mixt…

nlin.SI2002★ 3 cited

On the non-integrability of a fifth order equation with integrable two-body dynamics

D. D. Holm, A. N. W. Hone

We consider the fifth order partial differential equation (PDE) $u_{4 x, t} - 5 u_{xx t} + 4 u_{t} + u u_{5 x} + 2 u_{x} u_{4 x} - 5 u u_{3 x} - 10 u_{x} u_{xx} + 12 u u_{x} = 0$ , which is a generalization of the integrab…

nlin.SI2002★ 91 cited

A New Integrable Equation with Peakon Solutions

A. Degasperis, D. D. Holm, A. N. W. Hone

We consider a new partial differential equation, of a similar form to the Camassa-Holm shallow water wave equation, which was recently obtained by Degasperis and Procesi using the…