Andrew N. W. Hone

most citedA class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith)

54 citations · 54 across the 2 of their papers we have counts for

collaborators

2 papers

math.NA2019

Analogues of Kahan's method for higher order equations of higher degree

A. N. W. Hone, G. R. W. Quispel

Kahan introduced an explicit method of discretization for systems of first order differential equations with nonlinearities of degree at most two (quadratic vector fields). Kahan's…

nlin.SI2004★ 54 cited

A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith)

Darryl D. Holm, Andrew N. W. Hone

We consider a family of integro-differential equations depending upon a parameter $b$ as well as a symmetric integral kernel $g (x)$ . When $b = 2$ and $g$ is the peakon kernel (i.e. $…